+ // unsigned int iArray = 0;
+ for (iy = 0; iy < m_ny; iy++) {
+ for (ix = 0; ix < m_nx; ix++) {
+ double dImag = 0;
+ if (isComplex())
+ dImag = vImag[ix][iy];
+ pcRow[ix] = std::complex<double> (vReal[ix][iy], dImag);
+ }
+
+ Fourier::shuffleNaturalToFourierOrder (pcRow, m_nx);
+
+ for (ix = 0; ix < m_nx; ix++) {
+ in[ix][0] = pcRow[ix].real();
+ in[ix][1] = pcRow[ix].imag();
+ }
+
+ fftw_execute (plan);
+
+ for (ix = 0; ix < m_nx; ix++) {
+ vReal[ix][iy] = in[ix][0];
+ vImag[ix][iy] = in[ix][1];
+ }
+ }
+ delete [] pcRow;
+
+ fftw_destroy_plan (plan);
+ fftw_free(in);
+
+ return true;
+}
+
+bool
+ImageFile::fftCols (ImageFile& result) const
+{
+ if (m_nx != result.nx() || m_ny != result.ny()) {
+ sys_error (ERR_WARNING, "Difference sizes of images [ImageFile::fftRows]");
+ return false;
+ }
+
+ if (result.dataType() == Array2dFile::DATA_TYPE_REAL) {
+ if (! result.convertRealToComplex ())
+ return false;
+ }
+
+ ImageFileArrayConst vReal = getArray();
+ ImageFileArrayConst vImag = getImaginaryArray();
+
+ fftw_complex* in = static_cast<fftw_complex*>(fftw_malloc(sizeof(fftw_complex) * m_ny));
+ fftw_plan plan = fftw_plan_dft_1d (m_ny, in, in, FFTW_FORWARD, FFTW_ESTIMATE);
+
+ std::complex<double>* pcCol = new std::complex<double> [m_ny];
+ for (unsigned int ix = 0; ix < m_nx; ix++) {
+ unsigned int iy;
+ for (iy = 0; iy < m_ny; iy++) {
+ in[iy][0] = vReal[ix][iy];
+ if (isComplex())
+ in[iy][1] = vImag[ix][iy];
+ else
+ in[iy][1] = 0;
+ }
+
+ fftw_execute (plan);
+
+ for (iy = 0; iy < m_ny; iy++)
+ pcCol[iy] = std::complex<double>(in[iy][0], in[iy][1]);
+
+ Fourier::shuffleFourierToNaturalOrder (pcCol, m_ny);
+ for (iy = 0; iy < m_ny; iy++) {
+ vReal[ix][iy] = pcCol[iy].real() / m_ny;
+ vImag[ix][iy] = pcCol[iy].imag() / m_ny;
+ }
+ }
+ delete [] pcCol;
+
+ fftw_destroy_plan (plan);
+ fftw_free(in);
+
+ return true;
+}
+
+bool
+ImageFile::ifftCols (ImageFile& result) const
+{
+ if (m_nx != result.nx() || m_ny != result.ny()) {
+ sys_error (ERR_WARNING, "Difference sizes of images [ImageFile::fftRows]");
+ return false;
+ }
+
+ if (result.dataType() == Array2dFile::DATA_TYPE_REAL) {
+ if (! result.convertRealToComplex ())
+ return false;
+ }
+
+ ImageFileArrayConst vReal = getArray();
+ ImageFileArrayConst vImag = getImaginaryArray();
+
+ fftw_complex* in = static_cast<fftw_complex*>(fftw_malloc(sizeof(fftw_complex) * m_ny));
+ fftw_plan plan = fftw_plan_dft_1d (m_ny, in, in, FFTW_BACKWARD, FFTW_ESTIMATE);
+ std::complex<double>* pcCol = new std::complex<double> [m_ny];
+
+ unsigned int ix, iy;
+ // unsigned int iArray = 0;
+ for (ix = 0; ix < m_nx; ix++) {
+ for (iy = 0; iy < m_ny; iy++) {
+ double dImag = 0;
+ if (isComplex())
+ dImag = vImag[ix][iy];
+ pcCol[iy] = std::complex<double> (vReal[ix][iy], dImag);
+ }
+
+ Fourier::shuffleNaturalToFourierOrder (pcCol, m_ny);
+
+ for (iy = 0; iy < m_ny; iy++) {
+ in[iy][0] = pcCol[iy].real();
+ in[iy][1] = pcCol[iy].imag();
+ }
+
+ fftw_execute (plan);
+
+ for (iy = 0; iy < m_ny; iy++) {
+ vReal[ix][iy] = in[iy][0];
+ vImag[ix][iy] = in[iy][1];
+ }
+ }
+ delete [] pcCol;
+
+ fftw_destroy_plan (plan);
+ fftw_free(in);
+
+ return true;
+}
+
+#endif // HAVE_FFTW
+
+
+
+bool
+ImageFile::fourier (ImageFile& result) const
+{
+ if (m_nx != result.nx() || m_ny != result.ny()) {
+ sys_error (ERR_WARNING, "Difference sizes of images [ImageFile::invertPixelValues]");
+ return false;
+ }
+
+ if (! result.isComplex())
+ if (! result.convertRealToComplex ())
+ return false;
+
+ ImageFileArrayConst vLHS = getArray();
+ ImageFileArrayConst vLHSImag = getImaginaryArray();
+ ImageFileArray vRealResult = result.getArray();
+ ImageFileArray vImagResult = result.getImaginaryArray();
+
+ unsigned int ix, iy;
+
+ // alloc output matrix
+ CTSimComplex** complexOut = new CTSimComplex* [m_nx];
+ for (ix = 0; ix < m_nx; ix++)
+ complexOut[ix] = new CTSimComplex [m_ny];
+
+ // fourier each x column
+ CTSimComplex* pY = new CTSimComplex [m_ny];
+ for (ix = 0; ix < m_nx; ix++) {
+ for (iy = 0; iy < m_ny; iy++) {
+ double dImag = 0;
+ if (isComplex())
+ dImag = vLHSImag[ix][iy];
+ pY[iy] = std::complex<double>(vLHS[ix][iy], dImag);
+ }
+ ProcessSignal::finiteFourierTransform (pY, complexOut[ix], m_ny, ProcessSignal::FORWARD);
+ }
+ delete [] pY;
+
+ // fourier each y row
+ CTSimComplex* pX = new CTSimComplex [m_nx];
+ CTSimComplex* complexOutRow = new CTSimComplex [m_nx];
+ for (iy = 0; iy < m_ny; iy++) {
+ for (ix = 0; ix < m_nx; ix++)
+ pX[ix] = complexOut[ix][iy];
+ ProcessSignal::finiteFourierTransform (pX, complexOutRow, m_nx, ProcessSignal::FORWARD);
+ for (ix = 0; ix < m_nx; ix++)
+ complexOut[ix][iy] = complexOutRow[ix];
+ }
+ delete [] pX;
+ delete [] complexOutRow;
+
+ for (ix = 0; ix < m_nx; ix++)
+ for (iy = 0; iy < m_ny; iy++) {
+ vRealResult[ix][iy] = complexOut[ix][iy].real();
+ vImagResult[ix][iy] = complexOut[ix][iy].imag();
+ }
+
+ Fourier::shuffleFourierToNaturalOrder (result);
+
+ // delete complexOut matrix
+ for (ix = 0; ix < m_nx; ix++)
+ delete [] complexOut[ix];
+ delete [] complexOut;
+
+ return true;
+}
+
+bool
+ImageFile::inverseFourier (ImageFile& result) const
+{
+ if (m_nx != result.nx() || m_ny != result.ny()) {
+ sys_error (ERR_WARNING, "Difference sizes of images [ImageFile::invertPixelValues]");
+ return false;
+ }
+
+ if (result.dataType() == Array2dFile::DATA_TYPE_REAL) {
+ if (! result.convertRealToComplex ())
+ return false;
+ }
+
+ ImageFileArrayConst vLHSReal = getArray();
+ ImageFileArrayConst vLHSImag = getImaginaryArray();
+ ImageFileArray vRealResult = result.getArray();
+ ImageFileArray vImagResult = result.getImaginaryArray();
+
+ unsigned int ix, iy;
+ // alloc 2d complex output matrix