1 | #ifndef CUBES_H |
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2 | #define CUBES_H |
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3 | |
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4 | #include <iostream> |
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5 | #include <string> |
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6 | #include <vector> |
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7 | |
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8 | #include <param.hh> |
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9 | #include <fitsHeader.hh> |
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10 | #include <Detection/detection.hh> |
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11 | #include <Detection/columns.hh> |
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12 | #include <Cubes/plots.hh> |
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13 | #include <Utils/Statistics.hh> |
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14 | #include <PixelMap/Scan.hh> |
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15 | #include <PixelMap/Object2D.hh> |
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16 | |
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17 | using namespace Column; |
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18 | using namespace Statistics; |
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19 | using namespace PixelInfo; |
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20 | |
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21 | /****************************************************************/ |
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22 | /** |
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23 | * Base class for the image container. |
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24 | * |
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25 | * Definition of an n-dimensional data array: |
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26 | * array of pixel values, size & dimensions |
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27 | * array of Detection objects |
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28 | */ |
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29 | |
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30 | class DataArray |
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31 | { |
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32 | public: |
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33 | DataArray(); ///< Basic DataArray constructor |
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34 | DataArray(short int nDim); ///< Basic nDim-dimensional DataArray constructor |
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35 | DataArray(short int nDim, long size);///< Basic nDim-dimensional DataArray constructor, specifying size. |
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36 | DataArray(short int nDim, long *dimensions); ///< Basic nDim-dimensional DataArray constructor, specifying size of dimensions. |
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37 | virtual ~DataArray(); ///< Basic DataArray constructor |
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38 | |
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39 | //----------------------------------------- |
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40 | // Obvious inline accessor functions. |
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41 | // |
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42 | long getDimX(){if(numDim>0) return this->axisDim[0];else return 0;}; |
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43 | long getDimY(){if(numDim>1) return this->axisDim[1];else return 1;}; |
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44 | long getDimZ(){if(numDim>2) return this->axisDim[2];else return 1;}; |
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45 | long getSize(){ return this->numPixels; }; |
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46 | short int getNumDim(){ return this->numDim; }; |
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47 | virtual float getPixValue(long pos){ return array[pos]; }; |
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48 | virtual void setPixValue(long pos, float f){array[pos] = f;};; |
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49 | Detection getObject(long number){ return objectList[number]; }; |
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50 | std::vector <Detection> getObjectList(){ return objectList; }; |
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51 | long getNumObj(){ return objectList.size(); }; |
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52 | |
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53 | /** Delete all objects from the list of detections. */ |
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54 | void clearDetectionList(){ this->objectList.clear(); }; |
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55 | |
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56 | /** Read a parameter set from file. */ |
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57 | int readParam(std::string paramfile){ |
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58 | /** |
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59 | * Uses Param::readParams() to read parameters from a file. |
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60 | * \param paramfile The file to be read. |
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61 | */ |
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62 | return par.readParams(paramfile); |
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63 | }; |
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64 | |
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65 | //----------------------------------------- |
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66 | // Related to the various arrays |
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67 | // |
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68 | /** Return first three dimensional axes. */ |
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69 | void getDim(long &x, long &y, long &z); |
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70 | /** Return array of dimensional sizes.*/ |
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71 | void getDimArray(long *output); |
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72 | long * getDimArray(){return axisDim;}; |
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73 | |
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74 | /** Return pixel value array. */ |
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75 | void getArray(float *output); |
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76 | float * getArray(){return array;}; |
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77 | |
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78 | /** Save pixel value array. */ |
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79 | virtual void saveArray(float *input, long size); |
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80 | |
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81 | //----------------------------------------- |
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82 | // Related to the object lists |
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83 | // |
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84 | /** Adds a single detection to the object list.*/ |
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85 | void addObject(Detection object); |
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86 | |
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87 | /** Adds all objects in a detection list to the object list. */ |
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88 | void addObjectList(std::vector <Detection> newlist); |
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89 | |
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90 | /** Add pixel offsets to object coordinates. */ |
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91 | void addObjectOffsets(); |
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92 | |
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93 | //----------------------------------------- |
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94 | // Parameter list related. |
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95 | // |
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96 | /** Output the Param set.*/ |
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97 | void showParam(std::ostream &stream){ stream << this->par; }; |
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98 | /** Return the Param set.*/ |
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99 | Param getParam(){ return this->par; }; |
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100 | /** Save a Param set to the Cube.*/ |
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101 | void saveParam(Param newpar){this->par = newpar;}; |
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102 | /** Provides a reference to the Param set.*/ |
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103 | Param& pars(){ Param &rpar = this->par; return rpar; }; |
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104 | /** Is the voxel number given by vox a BLANK value?*/ |
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105 | bool isBlank(int vox); |
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106 | |
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107 | // -------------------------------------------- |
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108 | // Statistics |
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109 | // |
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110 | /** Returns the StatsContainer. */ |
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111 | StatsContainer<float> getStats(){ return this->Stats; }; |
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112 | |
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113 | /** Provides a reference to the StatsContainer. */ |
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114 | StatsContainer<float>& stats(){ |
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115 | StatsContainer<float> &rstats = this->Stats; return rstats; |
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116 | }; |
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117 | |
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118 | /** Save a StatsContainer to the Cube. */ |
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119 | void saveStats(StatsContainer<float> newStats){ this->Stats = newStats;}; |
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120 | |
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121 | /** A detection test for value. */ |
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122 | bool isDetection(float value); |
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123 | |
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124 | /** A detection test for pixel. */ |
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125 | bool isDetection(long voxel); |
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126 | |
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127 | |
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128 | /** Output operator for DataArray.*/ |
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129 | friend std::ostream& operator<< (std::ostream& theStream, DataArray &array); |
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130 | |
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131 | |
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132 | protected: |
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133 | short int numDim; ///< Number of dimensions. |
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134 | long *axisDim; ///< Array of dimensions of cube |
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135 | /// (ie. how large in each |
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136 | /// direction). |
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137 | long numPixels; ///< Total number of pixels in cube. |
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138 | float *array; ///< Array of data. |
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139 | std::vector <Detection> objectList; ///< The list of detected objects. |
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140 | Param par; ///< A parameter list. |
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141 | StatsContainer<float> Stats; ///< The statistics for the DataArray. |
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142 | }; |
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143 | |
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144 | |
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145 | |
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146 | //========================================================================= |
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147 | |
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148 | /** |
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149 | * Definition of an data-cube object (3D): |
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150 | * a DataArray object limited to dim=3 |
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151 | */ |
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152 | |
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153 | class Cube : public DataArray |
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154 | { |
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155 | public: |
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156 | Cube(); ///< Basic Cube constructor. |
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157 | Cube(long nPix); ///< Alternative Cube constructor. |
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158 | Cube(long *dimensions); ///< Alternative Cube constructor. |
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159 | virtual ~Cube(); ///< Basic Cube destructor. |
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160 | |
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161 | // INLINE functions -- definitions included after class declaration. |
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162 | /** Is the voxel number given by vox a BLANK value? */ |
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163 | bool isBlank(int vox){ return par.isBlank(array[vox]); }; |
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164 | |
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165 | /** Is the voxel at (x,y,z) a BLANK value? */ |
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166 | bool isBlank(long x, long y, long z){ |
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167 | return par.isBlank(array[z*axisDim[0]*axisDim[1] + y*axisDim[0] + x]); }; |
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168 | |
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169 | /** Does the Cube::recon array exist? */ |
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170 | bool isRecon(){ return reconExists; }; |
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171 | |
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172 | float getPixValue(long pos){ return array[pos]; }; |
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173 | float getPixValue(long x, long y, long z){ |
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174 | return array[z*axisDim[0]*axisDim[1] + y*axisDim[0] + x]; }; |
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175 | short getDetectMapValue(long pos){ return detectMap[pos]; }; |
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176 | short getDetectMapValue(long x, long y){ return detectMap[y*axisDim[0]+x]; }; |
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177 | float getReconValue(long pos){ return recon[pos]; }; |
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178 | float getReconValue(long x, long y, long z){ |
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179 | return recon[z*axisDim[0]*axisDim[1] + y*axisDim[0] + x];}; |
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180 | float getBaselineValue(long pos){ return baseline[pos]; }; |
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181 | float getBaselineValue(long x, long y, long z){ |
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182 | return baseline[z*axisDim[0]*axisDim[1] + y*axisDim[0] + x]; }; |
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183 | void setPixValue(long pos, float f){array[pos] = f;};; |
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184 | void setPixValue(long x, long y, long z, float f){ |
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185 | array[z*axisDim[0]*axisDim[1] + y*axisDim[0] + x] = f;}; |
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186 | void setDetectMapValue(long pos, short f){ detectMap[pos] = f;}; |
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187 | void setDetectMapValue(long x, long y, short f){ detectMap[y*axisDim[0] + x] = f;}; |
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188 | void setReconValue(long pos, float f){recon[pos] = f;}; |
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189 | void setReconValue(long x, long y, long z, float f){ |
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190 | recon[z*axisDim[0]*axisDim[1] + y*axisDim[0] + x] = f; }; |
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191 | void setReconFlag(bool f){reconExists = f;}; |
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192 | |
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193 | std::vector<Col> getLogCols(){return logCols;}; |
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194 | void setLogCols(std::vector<Col> C){logCols=C;}; |
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195 | std::vector<Col> getFullCols(){return fullCols;}; |
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196 | void setFullCols(std::vector<Col> C){fullCols=C;}; |
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197 | |
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198 | // additional functions -- in Cubes/cubes.cc |
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199 | /** Allocate memory correctly, with WCS defining the correct axes. */ |
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200 | void initialiseCube(long *dimensions); |
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201 | |
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202 | /** Read in a FITS file, with subsection correction. */ |
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203 | int getCube(); |
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204 | |
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205 | /** Read in command-line options. */ |
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206 | // int getopts(int argc, char ** argv); |
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207 | int getopts(int argc, char ** argv){return par.getopts(argc,argv);}; |
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208 | |
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209 | /** Read in reconstructed & smoothed arrays from FITS files on disk. */ |
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210 | void readSavedArrays(); |
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211 | |
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212 | /** Save an external array to the Cube's pixel array */ |
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213 | void saveArray(float *input, long size); |
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214 | |
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215 | /** Save an external array to the Cube's reconstructed array. */ |
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216 | void saveRecon(float *input, long size); |
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217 | |
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218 | /** Save reconstructed array to an external array. */ |
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219 | void getRecon(float *output); |
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220 | |
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221 | /** Set Milky Way channels to zero. */ |
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222 | void removeMW(); |
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223 | |
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224 | //------------------------ |
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225 | // Statistics for cube |
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226 | // |
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227 | |
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228 | /** Calculate the statistics for the Cube (older version). */ |
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229 | void setCubeStatsOld(); |
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230 | |
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231 | /** Calculate the statistics for the Cube. */ |
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232 | void setCubeStats(); |
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233 | |
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234 | /** Set up thresholds for the False Discovery Rate routine. */ |
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235 | void setupFDR(); |
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236 | |
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237 | /** A detection test for a given voxel. */ |
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238 | bool isDetection(long x, long y, long z); |
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239 | |
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240 | //----------------------------- |
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241 | // Dealing with the detections |
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242 | // |
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243 | |
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244 | /** Calculate the WCS parameters for each Cube Detection. */ |
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245 | void calcObjectWCSparams(); |
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246 | |
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247 | /** Sort the list of detections. */ |
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248 | void sortDetections(); |
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249 | |
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250 | /** Update the map of detected pixels. */ |
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251 | void updateDetectMap(); |
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252 | |
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253 | /** Update the map of detected pixels for a given Detection. */ |
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254 | void updateDetectMap(Detection obj); |
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255 | |
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256 | /** Find the flux enclosed by a Detection. */ |
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257 | float enclosedFlux(Detection obj); |
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258 | |
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259 | /** Set up the output column definitions for the Cube and its |
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260 | Detection list. */ |
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261 | void setupColumns(); |
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262 | |
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263 | /** Is the object at the edge of the image? */ |
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264 | bool objAtSpatialEdge(Detection obj); |
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265 | |
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266 | /** Is the object at an end of the spectrum? */ |
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267 | bool objAtSpectralEdge(Detection obj); |
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268 | |
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269 | /** Set warning flags for the detections. */ |
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270 | void setObjectFlags(); |
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271 | |
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272 | // ---------------------------- |
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273 | // Dealing with the WCS |
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274 | // |
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275 | FitsHeader getHead(){ return head; }; |
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276 | void setHead(FitsHeader F){head = F;}; |
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277 | FitsHeader& header(){ FitsHeader &h = head; return h; }; |
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278 | |
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279 | /** Convert a point from WCS to Pixel coords. */ |
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280 | int wcsToPix(const double *world, double *pix); |
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281 | |
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282 | /** Convert a set of points from WCS to Pixel coords. */ |
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283 | int wcsToPix(const double *world, double *pix, const int npts); |
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284 | |
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285 | /** Convert a point from Pixel to WCS coords. */ |
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286 | int pixToWCS(const double *pix, double *world); |
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287 | |
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288 | /** Convert a set of points from Pixel to WCS coords. */ |
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289 | int pixToWCS(const double *pix, double *world, const int npts); |
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290 | |
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291 | //------------------------------------------- |
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292 | // FITS-I/O related functions -- not in cubes.cc |
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293 | // |
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294 | /** Function to read in FITS file.*/ |
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295 | int getCube(std::string fname); // in Cubes/getImage.cc |
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296 | |
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297 | /** Function to retrieve FITS data array */ |
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298 | int getFITSdata(std::string fname); // in FitsIO/dataIO.cc |
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299 | |
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300 | /** Save Hanning-smoothed array to disk.*/ |
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301 | void saveSmoothedCube(); // in Cubes/saveImage.cc |
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302 | |
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303 | /** Save Reconstructed array to disk. */ |
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304 | void saveReconstructedCube(); // in Cubes/saveImage.cc |
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305 | |
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306 | /** Read in reconstructed array from FITS file. */ |
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307 | int readReconCube(); // in Cubes/readRecon.cc |
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308 | |
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309 | /** Read in Hanning-smoothed array from FITS file. */ |
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310 | int readSmoothCube(); // in Cubes/readSmooth.cc |
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311 | |
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312 | //------------------------------------- |
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313 | // Functions that act on the cube |
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314 | // |
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315 | |
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316 | /** Remove excess BLANK pixels from spatial edge of cube. */ |
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317 | void trimCube(); // in Cubes/trimImage.cc |
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318 | |
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319 | /** Replace BLANK pixels to spatial edge of cube. */ |
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320 | void unTrimCube(); // in Cubes/trimImage.cc |
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321 | |
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322 | /** Removes the baselines from the spectra, and stores in Cube::baseline */ |
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323 | void removeBaseline(); // in Cubes/baseline.cc |
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324 | |
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325 | /** Replace the baselines stored in Cube::baseline */ |
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326 | void replaceBaseline(); // in Cubes/baseline.cc |
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327 | |
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328 | /** Multiply all pixel values by -1. */ |
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329 | void invert(); // in Cubes/invertCube.cc |
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330 | |
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331 | /** Undo the inversion, and invert fluxes of all detected objects. */ |
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332 | void reInvert(); // in Cubes/invertCube.cc |
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333 | |
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334 | //------------------------------------- |
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335 | // Reconstruction, Searching and Merging functions |
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336 | // |
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337 | // in ATrous/ReconSearch.cc |
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338 | /** Front-end to reconstruction & searching functions.*/ |
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339 | void ReconSearch(); |
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340 | /** Switcher to reconstruction functions */ |
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341 | void ReconCube(); |
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342 | /** Performs 1-dimensional a trous reconstruction on the Cube. */ |
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343 | void ReconCube1D(); |
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344 | /** Performs 2-dimensional a trous reconstruction on the Cube. */ |
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345 | void ReconCube2D(); |
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346 | /** Performs 3-dimensional a trous reconstruction on the Cube. */ |
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347 | void ReconCube3D(); |
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348 | |
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349 | // in Cubes/CubicSearch.cc |
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350 | /** Front-end to the cubic searching routine. */ |
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351 | void CubicSearch(); |
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352 | |
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353 | // in Cubes/smoothCube.cc |
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354 | /** Front-end to the smoothing and searching functions. */ |
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355 | void SmoothSearch(); |
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356 | /** A function to Hanning-smooth the cube. */ |
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357 | void SmoothCube(); |
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358 | |
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359 | // in Cubes/Merger.cc |
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360 | /** Merge all objects in the detection list so that only distinct |
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361 | ones are left. */ |
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362 | void ObjectMerger(); |
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363 | |
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364 | //------------------------------------- |
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365 | // Text outputting of detected objects. |
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366 | // in Cubes/detectionIO.cc |
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367 | // |
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368 | /** Output detections to a Karma annotation file. */ |
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369 | void outputDetectionsKarma(std::ostream &stream); |
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370 | |
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371 | /** Output detections to a VOTable. */ |
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372 | void outputDetectionsVOTable(std::ostream &stream); |
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373 | |
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374 | /** Output detections to the output file and standard output. */ |
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375 | void outputDetectionList(); |
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376 | |
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377 | /** Output detections to the log file. */ |
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378 | void logDetectionList(); |
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379 | |
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380 | /** Output a single detection to the log file. */ |
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381 | void logDetection(Detection obj, int counter); |
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382 | |
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383 | |
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384 | // ---------------------------------- |
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385 | // Graphical plotting of the cube and the detections. |
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386 | // |
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387 | /** Draw blank edges of cube. */ |
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388 | void plotBlankEdges(); // in cubes.cc |
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389 | |
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390 | // in Cubes/plotting.cc |
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391 | /** Plot a spatial map of detections based on number of detected |
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392 | channels. */ |
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393 | void plotDetectionMap(std::string pgDestination); |
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394 | |
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395 | /** Plot a spatial map of detections based on 0th moment map of each |
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396 | object. */ |
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397 | void plotMomentMap(std::string pgDestination); |
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398 | |
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399 | /** Plot a spatial map of detections based on 0th moment map of each |
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400 | object to a number of PGPLOT devices. */ |
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401 | void plotMomentMap(std::vector<std::string> pgDestination); |
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402 | |
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403 | /** Draw WCS axes over a PGPLOT map. */ |
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404 | void plotWCSaxes(); |
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405 | |
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406 | // in Cubes/outputSpectra.cc |
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407 | /** Print spectra of each detected object. */ |
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408 | void outputSpectra(); |
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409 | |
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410 | /** Print spectrum of a single object */ |
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411 | void plotSpectrum(Detection obj,Plot::SpectralPlot &plot); |
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412 | |
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413 | // in Cubes/drawMomentCutout.cc |
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414 | /** Draw the 0th moment map for a single object. */ |
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415 | void drawMomentCutout(Detection &object); |
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416 | |
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417 | /** Draw a scale bar indicating angular size of the cutout. */ |
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418 | void drawScale(float xstart,float ystart,float channel); |
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419 | |
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420 | /** Draw a yellow line around the edge of the spatial extent of |
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421 | pixels. */ |
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422 | void drawFieldEdge(); |
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423 | |
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424 | private: |
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425 | float *recon; ///< reconstructed array - used when |
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426 | /// doing a trous reconstruction. |
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427 | bool reconExists; ///< flag saying whether there is a |
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428 | /// reconstruction |
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429 | short *detectMap; ///< "moment map" - x,y locations of |
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430 | /// detected pixels |
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431 | float *baseline; ///< array of spectral baseline |
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432 | /// values. |
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433 | |
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434 | bool reconAllocated; ///< have we allocated memory for the |
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435 | /// recon array? |
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436 | bool baselineAllocated;///< have we allocated memory for the |
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437 | /// baseline array? |
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438 | FitsHeader head; ///< the WCS and other header |
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439 | /// information. |
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440 | std::vector<Col> fullCols; ///< the list of all columns as |
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441 | /// printed in the results file |
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442 | std::vector<Col> logCols; ///< the list of columns as printed in |
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443 | /// the log file |
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444 | |
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445 | }; |
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446 | |
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447 | //////////// |
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448 | //// Cube inline function definitions |
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449 | //////////// |
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450 | |
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451 | inline int Cube::wcsToPix(const double *world, double *pix) |
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452 | { |
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453 | /** |
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454 | * Use the WCS in the FitsHeader to convert from WCS to pixel coords for |
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455 | * a single point. |
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456 | * \param world The world coordinates. |
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457 | * \param pix The returned pixel coordinates. |
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458 | */ |
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459 | return this->head.wcsToPix(world,pix); |
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460 | } |
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461 | inline int Cube::wcsToPix(const double *world, double *pix, const int npts) |
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462 | { |
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463 | /** |
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464 | * Use the WCS in the FitsHeader to convert from WCS to pixel coords for |
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465 | * a set of points. |
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466 | * \param world The world coordinates. |
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467 | * \param pix The returned pixel coordinates. |
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468 | * \param npts The number of points being converted. |
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469 | */ |
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470 | return this->head.wcsToPix(world,pix,npts); |
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471 | } |
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472 | inline int Cube::pixToWCS(const double *pix, double *world) |
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473 | { |
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474 | /** |
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475 | * Use the WCS in the FitsHeader to convert from pixel to WCS coords for |
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476 | * a single point. |
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477 | * \param pix The pixel coordinates. |
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478 | * \param world The returned world coordinates. |
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479 | */ |
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480 | return this->head.pixToWCS(pix,world); |
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481 | } |
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482 | inline int Cube::pixToWCS(const double *pix, double *world, const int npts) |
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483 | { |
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484 | /** |
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485 | * Use the WCS in the FitsHeader to convert from pixel to WCS coords for |
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486 | * a set of points. |
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487 | * \param pix The pixel coordinates. |
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488 | * \param world The returned world coordinates. |
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489 | * \param npts The number of points being converted. |
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490 | */ |
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491 | return this->head.pixToWCS(pix,world,npts); |
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492 | } |
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493 | |
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494 | |
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495 | //=============================================================================== |
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496 | |
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497 | /** |
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498 | * A DataArray object limited to two dimensions, and with some additional |
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499 | * special functions. |
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500 | * |
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501 | * It is used primarily for searching a 1- or 2-D array with |
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502 | * lutz_detect() and spectrumDetect(). |
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503 | */ |
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504 | |
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505 | class Image : public DataArray |
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506 | { |
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507 | public: |
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508 | Image(){numPixels=0; numDim=2;}; |
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509 | Image(long nPix); |
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510 | Image(long *dimensions); |
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511 | virtual ~Image(){}; |
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512 | |
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513 | //-------------------- |
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514 | // Defining the array |
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515 | // |
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516 | /** Save an external array to the Cube's pixel array */ |
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517 | void saveArray(float *input, long size); |
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518 | |
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519 | /** Extract a spectrum from an array and save to the local pixel array. */ |
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520 | void extractSpectrum(float *Array, long *dim, long pixel); |
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521 | |
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522 | /** Extract an image from an array and save to the local pixel array. */ |
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523 | void extractImage(float *Array, long *dim, long channel); |
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524 | |
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525 | /** Extract a spectrum from a cube and save to the local pixel array. */ |
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526 | void extractSpectrum(Cube &cube, long pixel); |
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527 | |
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528 | /** Extract an image from a cube and save to the local pixel array. */ |
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529 | void extractImage(Cube &cube, long channel); |
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530 | |
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531 | //-------------------- |
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532 | // Accessing the data. |
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533 | // |
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534 | float getPixValue(long pos){ return array[pos]; }; |
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535 | float getPixValue(long x, long y){return array[y*axisDim[0] + x];}; |
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536 | // the next few should have checks against array overflow... |
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537 | void setPixValue(long pos, float f){array[pos] = f;};; |
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538 | void setPixValue(long x, long y, float f){array[y*axisDim[0] + x] = f;}; |
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539 | bool isBlank(int vox){return par.isBlank(array[vox]);}; |
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540 | bool isBlank(long x,long y){return par.isBlank(array[y*axisDim[0]+x]);}; |
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541 | |
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542 | //----------------------- |
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543 | // Detection-related |
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544 | // |
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545 | /** Detect objects in a 2-D image */ |
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546 | std::vector<Object2D> lutz_detect(); // in Detection/lutz_detect.cc |
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547 | |
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548 | /** Detect objects in a 1-D spectrum */ |
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549 | std::vector<Scan> spectrumDetect(); // in Detection/spectrumDetect.cc |
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550 | |
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551 | int getMinSize(){return minSize;}; |
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552 | void setMinSize(int i){minSize=i;}; |
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553 | |
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554 | /** A detection test for a pixel location. */ |
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555 | bool isDetection(long x, long y){ |
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556 | /** |
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557 | * Test whether a pixel (x,y) is a statistically significant detection, |
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558 | * according to the set of statistics in the local StatsContainer object. |
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559 | */ |
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560 | long voxel = y*axisDim[0] + x; |
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561 | if(isBlank(x,y)) return false; |
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562 | else return Stats.isDetection(array[voxel]); |
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563 | }; |
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564 | |
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565 | /** Blank out a set of channels marked as being Milky Way channels */ |
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566 | void removeMW(); |
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567 | |
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568 | private: |
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569 | int minSize; ///< the minimum number of pixels for a |
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570 | /// detection to be accepted. |
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571 | }; |
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572 | |
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573 | |
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574 | /****************************************************************/ |
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575 | ////////////////////////////////////////////////////// |
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576 | // Prototypes for functions that use above classes |
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577 | ////////////////////////////////////////////////////// |
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578 | |
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579 | /** Search a reconstructed array for significant detections. */ |
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580 | std::vector <Detection> searchReconArray(long *dim, float *originalArray, |
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581 | float *reconArray, Param &par, |
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582 | StatsContainer<float> &stats); |
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583 | std::vector <Detection> searchReconArraySimple(long *dim, float *originalArray, |
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584 | float *reconArray, Param &par, |
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585 | StatsContainer<float> &stats); |
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586 | |
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587 | /** Search a 3-dimensional array for significant detections. */ |
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588 | std::vector <Detection> search3DArray(long *dim, float *Array, Param &par, |
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589 | StatsContainer<float> &stats); |
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590 | std::vector <Detection> search3DArraySimple(long *dim, float *Array, |
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591 | Param &par, |
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592 | StatsContainer<float> &stats); |
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593 | |
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594 | /** Grow an object to a lower threshold */ |
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595 | void growObject(Detection &object, Cube &cube); |
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596 | |
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597 | /** Draw the edge of the BLANK region on a map.*/ |
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598 | void drawBlankEdges(float *dataArray, int xdim, int ydim, Param &par); |
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599 | |
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600 | #endif |
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