// ----------------------------------------------------------------------- // filter.cc: Defining a filter function for 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 #include #include #include #include #include namespace duchamp { Filter::Filter() { this->sigmaFactors.resize(3); for(int i=0;i<3;i++) this->sigmaFactors[i] = new std::vector(20); this->loadSpline(); } Filter::Filter(const Filter& f) { operator=(f); } Filter& Filter::operator=(const Filter& f) { if(this==&f) return *this; this->name = f.name; this->filter1D = f.filter1D; this->maxNumScales = f.maxNumScales; this->sigmaFactors = f.sigmaFactors; return *this; } //----------------------------------------------------------------------- Filter::~Filter() { this->filter1D.clear(); this->maxNumScales.clear(); //for(int i=0;i<3;i++) delete this->sigmaFactors[i]; //for(int i=0;i<3;i++) this->sigmaFactors[i]->clear(); // for(int i=0;i<3;i++){ // std::vector* p = this->sigmaFactors[i]; // delete p; // } this->sigmaFactors.clear(); } //----------------------------------------------------------------------- void Filter::define(int filtercode) { switch(filtercode) { case 2: this->loadTriangle(); break; case 3: this->loadHaar(); break; case 4: // this->loadTopHat(); case 1: default: if(filtercode!=1){ // if(filtercode==4) { // std::stringstream errmsg; // errmsg << "TopHat Wavelet not being used currently." // << "Using B3 spline instead.\n"; // duchampWarning("Filter::define", errmsg.str()); // } // else { std::stringstream errmsg; errmsg << "Filter code " << filtercode << " undefined. Using B3 spline.\n"; duchampWarning("Wavelet Filter", errmsg.str()); // } } this->loadSpline(); break; } } //----------------------------------------------------------------------- int Filter::getNumScales(long length) { switch(this->filter1D.size()){ case 5: return int(log(double(length-1))/M_LN2) - 1; break; case 3: return int(log(double(length-1))/M_LN2); break; default: return 1 + int(log(double(length-1)/double(this->filter1D.size()-1))/M_LN2); break; } } //----------------------------------------------------------------------- int Filter::getMaxSize(int scale) { switch(this->filter1D.size()){ case 5: return int(pow(2,scale+1)) + 1; break; case 3: return int(pow(2,scale)) + 1; break; default: return int(pow(2,scale-1))*(this->filter1D.size()-1) + 1; break; } } //----------------------------------------------------------------------- void Filter::loadSpline() { double filter[5] = {0.0625, 0.25, 0.375, 0.25, 0.0625}; this->name = "B3 spline function"; this->filter1D.resize(5); for(int i=0;i<5;i++) this->filter1D[i] = filter[i]; this->sigmaFactors.resize(3); this->maxNumScales.resize(3); this->maxNumScales[0] = 18; double sigmaFactors1D[19] = {1.00000000000,7.23489806e-1,2.85450405e-1,1.77947535e-1, 1.22223156e-1,8.58113122e-2,6.05703043e-2,4.28107206e-2, 3.02684024e-2,2.14024008e-2,1.51336781e-2,1.07011079e-2, 7.56682272e-3,5.35055108e-3,3.78341085e-3,2.67527545e-3, 1.89170541e-3,1.33763772e-3,9.45852704e-4}; this->sigmaFactors[0]->resize(19); for(int i=0;i<19;i++)(*this->sigmaFactors[0])[i] = sigmaFactors1D[i]; this->maxNumScales[1] = 11; double sigmaFactors2D[12] = {1.00000000000,8.90796310e-1,2.00663851e-1,8.55075048e-2, 4.12474444e-2,2.04249666e-2,1.01897592e-2,5.09204670e-3, 2.54566946e-3,1.27279050e-3,6.36389722e-4,3.18194170e-4}; this->sigmaFactors[1]->resize(12); for(int i=0;i<12;i++)(*this->sigmaFactors[1])[i] = sigmaFactors2D[i]; this->maxNumScales[2] = 7; double sigmaFactors3D[8] = {1.00000000000,9.56543592e-1,1.20336499e-1,3.49500154e-2, 1.18164242e-2,4.13233507e-3,1.45703714e-3,5.14791120e-4}; this->sigmaFactors[2]->resize(8); for(int i=0;i<12;i++)(*this->sigmaFactors[2])[i] = sigmaFactors3D[i]; } //----------------------------------------------------------------------- void Filter::loadTriangle() { double filter[3] = {1./4., 1./2., 1./4.}; this->filter1D.resize(3); for(int i=0;i<3;i++) this->filter1D[i] = filter[i]; this->name = "Triangle function"; this->sigmaFactors.resize(3); this->maxNumScales.resize(3); this->maxNumScales[0] = 18; double sigmaFactors1D[19] = {1.00000000000,6.12372436e-1,3.30718914e-1,2.11947812e-1, 1.45740298e-1,1.02310944e-1,7.22128185e-2,5.10388224e-2, 3.60857673e-2,2.55157615e-2,1.80422389e-2,1.27577667e-2, 9.02109930e-3,6.37887978e-3,4.51054902e-3,3.18942978e-3, 2.25527449e-3,1.59471988e-3,1.12763724e-4}; this->sigmaFactors[0]->resize(19); for(int i=0;i<19;i++)(*this->sigmaFactors[0])[i] = sigmaFactors1D[i]; this->maxNumScales[1] = 12; double sigmaFactors2D[13] = {1.00000000000,8.00390530e-1,2.72878894e-1,1.19779282e-1, 5.77664785e-2,2.86163283e-2,1.42747506e-2,7.13319703e-3, 3.56607618e-3,1.78297280e-3,8.91478237e-4,4.45738098e-4, 2.22868922e-4}; this->sigmaFactors[1]->resize(13); for(int i=0;i<12;i++)(*this->sigmaFactors[1])[i] = sigmaFactors2D[i]; this->maxNumScales[2] = 8; double sigmaFactors3D[9] = {1.00000000000,8.959544490e-1,1.92033014e-1,5.76484078e-2, 1.94912393e-2,6.812783870e-3,2.40175885e-3,8.48538128e-4, 2.99949455e-4}; this->sigmaFactors[2]->resize(9); for(int i=0;i<12;i++)(*this->sigmaFactors[2])[i] = sigmaFactors3D[i]; } //----------------------------------------------------------------------- void Filter::loadHaar() { double filter[3] = {0., 1./2., 1./2.}; this->name = "Haar wavelet"; this->filter1D.resize(3); for(int i=0;i<3;i++) this->filter1D[i] = filter[i]; this->sigmaFactors.resize(3); this->maxNumScales.resize(3); this->maxNumScales[0] = 6; double sigmaFactors1D[7] = {1.00000000000,7.07167810e-1,5.00000000e-1,3.53553391e-1, 2.50000000e-1,1.76776695e-1,1.25000000e-1}; this->sigmaFactors[0]->resize(7); for(int i=0;i<19;i++)(*this->sigmaFactors[0])[i] = sigmaFactors1D[i]; this->maxNumScales[1] = 6; double sigmaFactors2D[7] = {1.00000000000,4.33012702e-1,2.16506351e-1,1.08253175e-1, 5.41265877e-2,2.70632939e-2,1.35316469e-2}; this->sigmaFactors[1]->resize(7); for(int i=0;i<12;i++)(*this->sigmaFactors[1])[i] = sigmaFactors2D[i]; this->maxNumScales[2] = 8; double sigmaFactors3D[9] = {1.00000000000,9.35414347e-1,3.30718914e-1,1.16926793e-1, 4.13398642e-2,1.46158492e-2,5.16748303e-3,1.82698115e-3, 6.45935379e-4}; this->sigmaFactors[2]->resize(9); for(int i=0;i<12;i++)(*this->sigmaFactors[2])[i] = sigmaFactors3D[i]; } }