source: tags/release-1.1.12/src/ATrous/atrous_1d_reconstruct.cc

// -----------------------------------------------------------------------
// atrous_1d_reconstruct.cc: 1-dimensional wavelet reconstruction.
// -----------------------------------------------------------------------
// Copyright (C) 2006, Matthew Whiting, ATNF
//
// This program is free software; you can redistribute it and/or modify it
// under the terms of the GNU General Public License as published by the
// Free Software Foundation; either version 2 of the License, or (at your
// option) any later version.
//
// Duchamp is distributed in the hope that it will be useful, but WITHOUT
// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
// FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
// for more details.
//
// You should have received a copy of the GNU General Public License
// along with Duchamp; if not, write to the Free Software Foundation,
// Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307, USA
//
// Correspondence concerning Duchamp may be directed to:
//    Internet email: Matthew.Whiting [at] atnf.csiro.au
//    Postal address: Dr. Matthew Whiting
//                    Australia Telescope National Facility, CSIRO
//                    PO Box 76
//                    Epping NSW 1710
//                    AUSTRALIA
// -----------------------------------------------------------------------
#include <iostream>
#include <sstream>
#include <iomanip>
#include <math.h>
#include <duchamp/duchamp.hh>
#include <duchamp/param.hh>
#include <duchamp/Utils/utils.hh>
#include <duchamp/Utils/feedback.hh>
#include <duchamp/ATrous/atrous.hh>
#include <duchamp/ATrous/filter.hh>
#include <duchamp/Utils/Statistics.hh>
using Statistics::madfmToSigma;

namespace duchamp
{

  void atrous1DReconstruct(long &xdim, float *&input, float *&output, Param &par)
  {
    ///  A routine that uses the a trous wavelet method to reconstruct a 
    ///   1-dimensional spectrum. 
    ///  The Param object "par" contains all necessary info about the filter and 
    ///   reconstruction parameters.
    /// 
    ///  If all pixels are BLANK (and we are testing for BLANKs), the
    ///  reconstruction will simply give BLANKs back, so we return the
    ///  input array as the output array.
    /// 
    ///  \param xdim The length of the spectrum.
    ///  \param input The input spectrum.
    ///  \param output The returned reconstructed spectrum. This array needs to 
    ///    be declared beforehand.
    ///  \param par The Param set.

    const float SNR_THRESH=par.getAtrousCut();
    const int MIN_SCALE=par.getMinScale();
    static bool firstTime = true;

    int numScales = par.filter().getNumScales(xdim);
    int maxScale = par.getMaxScale();
    if((maxScale>0)&&(maxScale<=numScales))
      maxScale = std::min(maxScale,numScales);
    else{
      if((firstTime)&&(maxScale!=0)){
        firstTime=false;
        std::stringstream errmsg;
        errmsg << "The requested value of the parameter scaleMax, \""
               << maxScale << "\" is outside the allowed range (1-"
               << numScales <<").\nSetting to " << numScales << ".\n";
        duchampWarning("Reading parameters",errmsg.str());
      } 
      maxScale = numScales;
    }
    double *sigmaFactors = new double[numScales+1];
    for(int i=0;i<=numScales;i++){
      if(i<=par.filter().maxFactor(1)) 
        sigmaFactors[i] = par.filter().sigmaFactor(1,i);
      else sigmaFactors[i] = sigmaFactors[i-1] / sqrt(2.);
    }

    float mean,sigma,originalSigma,originalMean,oldsigma,newsigma;
    bool *isGood = new bool[xdim];
    int goodSize=0;
    for(int pos=0;pos<xdim;pos++) {
      isGood[pos] = !par.isBlank(input[pos]);
      if(isGood[pos]) goodSize++;
    }

    if(goodSize == 0){
      // There are no good pixels -- everything is BLANK for some reason.
      // Return the input array as the output.

      for(int pos=0;pos<xdim; pos++) output[pos] = input[pos];

    }
    else{
      // Otherwise, all is good, and we continue.


      float *coeffs = new float[xdim];
      float *wavelet = new float[xdim];
      float *residual = new float[xdim];

      for(int pos=0;pos<xdim;pos++) output[pos]=0.;

      int filterHW = par.filter().width()/2;
      double *filter = new double[par.filter().width()];
      for(int i=0;i<par.filter().width();i++) filter[i] = par.filter().coeff(i);


      // No trimming done in 1D case.

      int iteration=0;
      newsigma = 1.e9;
      do{
        if(par.isVerbose()) {
          std::cout << "Iteration #"<<++iteration<<":";
          printSpace(13);
        }
        // first, get the value of oldsigma and set it to the previous 
        //   newsigma value
        oldsigma = newsigma;
        // all other times round, we are transforming the residual array
        for(int i=0;i<xdim;i++)  coeffs[i] = input[i] - output[i];
    
        findMedianStats(input,xdim,isGood,originalMean,originalSigma);
        originalSigma = madfmToSigma(originalSigma); 

        int spacing = 1;
        for(int scale = 1; scale<=numScales; scale++){

          if(par.isVerbose()) {
            std::cout << "Scale " << std::setw(2) << scale
                      << " /"     << std::setw(2) << numScales <<std::flush;
          }

          for(int xpos = 0; xpos<xdim; xpos++){
            // loops over each pixel in the image
            int pos = xpos;

            wavelet[pos] = coeffs[pos];
        
            if(!isGood[pos] )  wavelet[pos] = 0.;
            else{

              for(int xoffset=-filterHW; xoffset<=filterHW; xoffset++){
                int x = xpos + spacing*xoffset;

                while((x<0)||(x>=xdim)){
                  // boundary conditions are reflection. 
                  if(x<0) x = 0 - x;
                  else if(x>=xdim) x = 2*(xdim-1) - x;
                }

                int filterpos = (xoffset+filterHW);
                int oldpos = x;

                if(isGood[oldpos]) 
                  wavelet[pos] -= filter[filterpos]*coeffs[oldpos];
              
              } //-> end of xoffset loop
            } //-> end of else{ ( from if(!isGood[pos])  )
            
          } //-> end of xpos loop

          // Need to do this after we've done *all* the convolving
          for(int pos=0;pos<xdim;pos++) coeffs[pos] = coeffs[pos] - wavelet[pos];

          // Have found wavelet coeffs for this scale -- now threshold
          if(scale>=MIN_SCALE){
            findMedianStats(wavelet,xdim,isGood,mean,sigma);
        
            for(int pos=0;pos<xdim;pos++){
              // preserve the Blank pixel values in the output.
              if(!isGood[pos]) output[pos] = input[pos];
              else if( fabs(wavelet[pos]) > 
                       (mean+SNR_THRESH*originalSigma*sigmaFactors[scale]) )
                output[pos] += wavelet[pos];
            }
          }
 
          spacing *= 2;

        } //-> end of scale loop 

        // Only add the final smoothed array if we are doing *all* the scales. 
        if(numScales == par.filter().getNumScales(xdim))
          for(int pos=0;pos<xdim;pos++) 
            if(isGood[pos]) output[pos] += coeffs[pos];

        for(int pos=0;pos<xdim;pos++) residual[pos]=input[pos]-output[pos];
        findMedianStats(residual,xdim,isGood,mean,newsigma);
        newsigma = madfmToSigma(newsigma); 

        if(par.isVerbose()) printBackSpace(26);

      } while( (iteration==1) || 
               (fabs(oldsigma-newsigma)/newsigma > reconTolerance) );

      if(par.isVerbose()) std::cout << "Completed "<<iteration<<" iterations. ";

      delete [] filter;
      delete [] residual;
      delete [] wavelet;
      delete [] coeffs;

    }

    delete [] isGood;
    delete [] sigmaFactors;
  }

}