[299] | 1 | // ----------------------------------------------------------------------- |
---|
| 2 | // filter.cc: Defining a filter function for wavelet reconstruction. |
---|
| 3 | // ----------------------------------------------------------------------- |
---|
| 4 | // Copyright (C) 2006, Matthew Whiting, ATNF |
---|
| 5 | // |
---|
| 6 | // This program is free software; you can redistribute it and/or modify it |
---|
| 7 | // under the terms of the GNU General Public License as published by the |
---|
| 8 | // Free Software Foundation; either version 2 of the License, or (at your |
---|
| 9 | // option) any later version. |
---|
| 10 | // |
---|
| 11 | // Duchamp is distributed in the hope that it will be useful, but WITHOUT |
---|
| 12 | // ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
---|
| 13 | // FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
---|
| 14 | // for more details. |
---|
| 15 | // |
---|
| 16 | // You should have received a copy of the GNU General Public License |
---|
| 17 | // along with Duchamp; if not, write to the Free Software Foundation, |
---|
| 18 | // Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307, USA |
---|
| 19 | // |
---|
| 20 | // Correspondence concerning Duchamp may be directed to: |
---|
| 21 | // Internet email: Matthew.Whiting [at] atnf.csiro.au |
---|
| 22 | // Postal address: Dr. Matthew Whiting |
---|
| 23 | // Australia Telescope National Facility, CSIRO |
---|
| 24 | // PO Box 76 |
---|
| 25 | // Epping NSW 1710 |
---|
| 26 | // AUSTRALIA |
---|
| 27 | // ----------------------------------------------------------------------- |
---|
[139] | 28 | #include <iostream> |
---|
| 29 | #include <sstream> |
---|
| 30 | #include <duchamp.hh> |
---|
[232] | 31 | #include <ATrous/filter.hh> |
---|
[3] | 32 | #include <math.h> |
---|
[258] | 33 | #include <vector> |
---|
[3] | 34 | |
---|
| 35 | Filter::Filter() |
---|
| 36 | { |
---|
| 37 | this->sigmaFactors.resize(3); |
---|
[232] | 38 | for(int i=0;i<3;i++) this->sigmaFactors[i] = new std::vector<double>(20); |
---|
[188] | 39 | this->loadSpline(); |
---|
[3] | 40 | } |
---|
[365] | 41 | |
---|
| 42 | Filter::Filter(const Filter& f) |
---|
| 43 | { |
---|
| 44 | operator=(f); |
---|
| 45 | } |
---|
| 46 | |
---|
| 47 | Filter& Filter::operator=(const Filter& f) |
---|
| 48 | { |
---|
| 49 | if(this==&f) return *this; |
---|
| 50 | this->name = f.name; |
---|
| 51 | this->filter1D = f.filter1D; |
---|
| 52 | this->maxNumScales = f.maxNumScales; |
---|
| 53 | this->sigmaFactors = f.sigmaFactors; |
---|
| 54 | return *this; |
---|
| 55 | } |
---|
| 56 | |
---|
[220] | 57 | //----------------------------------------------------------------------- |
---|
[3] | 58 | |
---|
[220] | 59 | Filter::~Filter() |
---|
| 60 | { |
---|
| 61 | filter1D.clear(); |
---|
| 62 | maxNumScales.clear(); |
---|
[309] | 63 | //for(int i=0;i<3;i++) delete this->sigmaFactors[i]; |
---|
[220] | 64 | sigmaFactors.clear(); |
---|
| 65 | } |
---|
| 66 | //----------------------------------------------------------------------- |
---|
[3] | 67 | |
---|
| 68 | void Filter::define(int filtercode) |
---|
| 69 | { |
---|
| 70 | switch(filtercode) |
---|
| 71 | { |
---|
| 72 | case 2: |
---|
| 73 | this->loadTriangle(); |
---|
| 74 | break; |
---|
| 75 | case 3: |
---|
| 76 | this->loadHaar(); |
---|
| 77 | break; |
---|
| 78 | case 4: |
---|
| 79 | // this->loadTopHat(); |
---|
| 80 | case 1: |
---|
| 81 | default: |
---|
| 82 | if(filtercode!=1){ |
---|
[293] | 83 | // if(filtercode==4) { |
---|
| 84 | // std::stringstream errmsg; |
---|
| 85 | // errmsg << "TopHat Wavelet not being used currently." |
---|
| 86 | // << "Using B3 spline instead.\n"; |
---|
| 87 | // duchampWarning("Filter::define", errmsg.str()); |
---|
| 88 | // } |
---|
| 89 | // else { |
---|
[139] | 90 | std::stringstream errmsg; |
---|
| 91 | errmsg << "Filter code " << filtercode << " undefined. Using B3 spline.\n"; |
---|
[293] | 92 | duchampWarning("Wavelet Filter", errmsg.str()); |
---|
| 93 | // } |
---|
[3] | 94 | } |
---|
| 95 | this->loadSpline(); |
---|
| 96 | break; |
---|
| 97 | } |
---|
| 98 | |
---|
| 99 | } |
---|
[220] | 100 | //----------------------------------------------------------------------- |
---|
[3] | 101 | |
---|
[220] | 102 | int Filter::getNumScales(long length) |
---|
| 103 | { |
---|
| 104 | switch(this->filter1D.size()){ |
---|
| 105 | case 5: |
---|
| 106 | return int(log(double(length-1))/M_LN2) - 1; |
---|
| 107 | break; |
---|
| 108 | case 3: |
---|
| 109 | return int(log(double(length-1))/M_LN2); |
---|
| 110 | break; |
---|
| 111 | default: |
---|
| 112 | return 1 + int(log(double(length-1)/double(this->filter1D.size()-1))/M_LN2); |
---|
| 113 | break; |
---|
| 114 | } |
---|
| 115 | } |
---|
| 116 | //----------------------------------------------------------------------- |
---|
| 117 | |
---|
| 118 | int Filter::getMaxSize(int scale) |
---|
| 119 | { |
---|
| 120 | switch(this->filter1D.size()){ |
---|
| 121 | case 5: |
---|
| 122 | return int(pow(2,scale+1)) + 1; |
---|
| 123 | break; |
---|
| 124 | case 3: |
---|
| 125 | return int(pow(2,scale)) + 1; |
---|
| 126 | break; |
---|
| 127 | default: |
---|
| 128 | return int(pow(2,scale-1))*(this->filter1D.size()-1) + 1; |
---|
| 129 | break; |
---|
| 130 | } |
---|
| 131 | } |
---|
| 132 | //----------------------------------------------------------------------- |
---|
| 133 | |
---|
[3] | 134 | void Filter::loadSpline() |
---|
| 135 | { |
---|
| 136 | double filter[5] = {0.0625, 0.25, 0.375, 0.25, 0.0625}; |
---|
| 137 | this->name = "B3 spline function"; |
---|
| 138 | this->filter1D.resize(5); |
---|
| 139 | for(int i=0;i<5;i++) this->filter1D[i] = filter[i]; |
---|
| 140 | this->sigmaFactors.resize(3); |
---|
| 141 | this->maxNumScales.resize(3); |
---|
| 142 | |
---|
| 143 | this->maxNumScales[0] = 18; |
---|
| 144 | double sigmaFactors1D[19] = {1.00000000000,7.23489806e-1,2.85450405e-1,1.77947535e-1, |
---|
| 145 | 1.22223156e-1,8.58113122e-2,6.05703043e-2,4.28107206e-2, |
---|
| 146 | 3.02684024e-2,2.14024008e-2,1.51336781e-2,1.07011079e-2, |
---|
| 147 | 7.56682272e-3,5.35055108e-3,3.78341085e-3,2.67527545e-3, |
---|
| 148 | 1.89170541e-3,1.33763772e-3,9.45852704e-4}; |
---|
| 149 | this->sigmaFactors[0]->resize(19); |
---|
| 150 | for(int i=0;i<19;i++)(*this->sigmaFactors[0])[i] = sigmaFactors1D[i]; |
---|
| 151 | |
---|
| 152 | this->maxNumScales[1] = 11; |
---|
| 153 | double sigmaFactors2D[12] = {1.00000000000,8.90796310e-1,2.00663851e-1,8.55075048e-2, |
---|
| 154 | 4.12474444e-2,2.04249666e-2,1.01897592e-2,5.09204670e-3, |
---|
| 155 | 2.54566946e-3,1.27279050e-3,6.36389722e-4,3.18194170e-4}; |
---|
| 156 | this->sigmaFactors[1]->resize(12); |
---|
| 157 | for(int i=0;i<12;i++)(*this->sigmaFactors[1])[i] = sigmaFactors2D[i]; |
---|
| 158 | |
---|
| 159 | this->maxNumScales[2] = 7; |
---|
| 160 | double sigmaFactors3D[8] = {1.00000000000,9.56543592e-1,1.20336499e-1,3.49500154e-2, |
---|
| 161 | 1.18164242e-2,4.13233507e-3,1.45703714e-3,5.14791120e-4}; |
---|
| 162 | this->sigmaFactors[2]->resize(8); |
---|
| 163 | for(int i=0;i<12;i++)(*this->sigmaFactors[2])[i] = sigmaFactors3D[i]; |
---|
| 164 | } |
---|
[220] | 165 | //----------------------------------------------------------------------- |
---|
[3] | 166 | |
---|
| 167 | void Filter::loadTriangle() |
---|
| 168 | { |
---|
| 169 | double filter[3] = {1./4., 1./2., 1./4.}; |
---|
| 170 | this->filter1D.resize(3); |
---|
| 171 | for(int i=0;i<3;i++) this->filter1D[i] = filter[i]; |
---|
| 172 | this->name = "Triangle function"; |
---|
| 173 | this->sigmaFactors.resize(3); |
---|
| 174 | this->maxNumScales.resize(3); |
---|
| 175 | |
---|
| 176 | this->maxNumScales[0] = 18; |
---|
| 177 | double sigmaFactors1D[19] = {1.00000000000,6.12372436e-1,3.30718914e-1,2.11947812e-1, |
---|
| 178 | 1.45740298e-1,1.02310944e-1,7.22128185e-2,5.10388224e-2, |
---|
| 179 | 3.60857673e-2,2.55157615e-2,1.80422389e-2,1.27577667e-2, |
---|
| 180 | 9.02109930e-3,6.37887978e-3,4.51054902e-3,3.18942978e-3, |
---|
| 181 | 2.25527449e-3,1.59471988e-3,1.12763724e-4}; |
---|
| 182 | this->sigmaFactors[0]->resize(19); |
---|
| 183 | for(int i=0;i<19;i++)(*this->sigmaFactors[0])[i] = sigmaFactors1D[i]; |
---|
| 184 | |
---|
| 185 | this->maxNumScales[1] = 12; |
---|
| 186 | double sigmaFactors2D[13] = {1.00000000000,8.00390530e-1,2.72878894e-1,1.19779282e-1, |
---|
| 187 | 5.77664785e-2,2.86163283e-2,1.42747506e-2,7.13319703e-3, |
---|
| 188 | 3.56607618e-3,1.78297280e-3,8.91478237e-4,4.45738098e-4, |
---|
| 189 | 2.22868922e-4}; |
---|
| 190 | this->sigmaFactors[1]->resize(13); |
---|
| 191 | for(int i=0;i<12;i++)(*this->sigmaFactors[1])[i] = sigmaFactors2D[i]; |
---|
| 192 | |
---|
| 193 | this->maxNumScales[2] = 8; |
---|
| 194 | double sigmaFactors3D[9] = {1.00000000000,8.959544490e-1,1.92033014e-1,5.76484078e-2, |
---|
| 195 | 1.94912393e-2,6.812783870e-3,2.40175885e-3,8.48538128e-4, |
---|
| 196 | 2.99949455e-4}; |
---|
| 197 | this->sigmaFactors[2]->resize(9); |
---|
| 198 | for(int i=0;i<12;i++)(*this->sigmaFactors[2])[i] = sigmaFactors3D[i]; |
---|
| 199 | } |
---|
[220] | 200 | //----------------------------------------------------------------------- |
---|
[3] | 201 | |
---|
| 202 | void Filter::loadHaar() |
---|
| 203 | { |
---|
| 204 | double filter[3] = {0., 1./2., 1./2.}; |
---|
| 205 | this->name = "Haar wavelet"; |
---|
| 206 | this->filter1D.resize(3); |
---|
| 207 | for(int i=0;i<3;i++) this->filter1D[i] = filter[i]; |
---|
| 208 | this->sigmaFactors.resize(3); |
---|
| 209 | this->maxNumScales.resize(3); |
---|
| 210 | |
---|
| 211 | this->maxNumScales[0] = 6; |
---|
| 212 | double sigmaFactors1D[7] = {1.00000000000,7.07167810e-1,5.00000000e-1,3.53553391e-1, |
---|
| 213 | 2.50000000e-1,1.76776695e-1,1.25000000e-1}; |
---|
| 214 | this->sigmaFactors[0]->resize(7); |
---|
| 215 | for(int i=0;i<19;i++)(*this->sigmaFactors[0])[i] = sigmaFactors1D[i]; |
---|
| 216 | |
---|
| 217 | this->maxNumScales[1] = 6; |
---|
| 218 | double sigmaFactors2D[7] = {1.00000000000,4.33012702e-1,2.16506351e-1,1.08253175e-1, |
---|
| 219 | 5.41265877e-2,2.70632939e-2,1.35316469e-2}; |
---|
| 220 | this->sigmaFactors[1]->resize(7); |
---|
| 221 | for(int i=0;i<12;i++)(*this->sigmaFactors[1])[i] = sigmaFactors2D[i]; |
---|
| 222 | |
---|
| 223 | this->maxNumScales[2] = 8; |
---|
| 224 | double sigmaFactors3D[9] = {1.00000000000,9.35414347e-1,3.30718914e-1,1.16926793e-1, |
---|
| 225 | 4.13398642e-2,1.46158492e-2,5.16748303e-3,1.82698115e-3, |
---|
| 226 | 6.45935379e-4}; |
---|
| 227 | this->sigmaFactors[2]->resize(9); |
---|
| 228 | for(int i=0;i<12;i++)(*this->sigmaFactors[2])[i] = sigmaFactors3D[i]; |
---|
| 229 | } |
---|