/* * Copyright (c) 2001-2002, David Janssens * Copyright (c) 2002-2003, Yannick Verschueren * Copyright (c) 2002-2003, Communications and remote sensing Laboratory, Universite catholique de Louvain, Belgium * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS `AS IS' * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. */ #include "dwt.h" #include "int.h" #include "fix.h" #include "tcd.h" #include #include #define S(i) a[x*(i)*2] #define D(i) a[x*(1+(i)*2)] #define S_(i) ((i)<0?S(0):((i)>=sn?S(sn-1):S(i))) #define D_(i) ((i)<0?D(0):((i)>=dn?D(dn-1):D(i))) /* new */ #define SS_(i) ((i)<0?S(0):((i)>=dn?S(dn-1):S(i))) #define DD_(i) ((i)<0?D(0):((i)>=sn?D(sn-1):D(i))) /* */ /* This table contains the norms of the 5-3 wavelets for different bands. */ /* */ double dwt_norms[4][10] = { {1.000, 1.500, 2.750, 5.375, 10.68, 21.34, 42.67, 85.33, 170.7, 341.3}, {1.038, 1.592, 2.919, 5.703, 11.33, 22.64, 45.25, 90.48, 180.9}, {1.038, 1.592, 2.919, 5.703, 11.33, 22.64, 45.25, 90.48, 180.9}, {.7186, .9218, 1.586, 3.043, 6.019, 12.01, 24.00, 47.97, 95.93} }; /* */ /* This table contains the norms of the 9-7 wavelets for different bands. */ /* */ double dwt_norms_real[4][10] = { {1.000, 1.965, 4.177, 8.403, 16.90, 33.84, 67.69, 135.3, 270.6, 540.9}, {2.022, 3.989, 8.355, 17.04, 34.27, 68.63, 137.3, 274.6, 549.0}, {2.022, 3.989, 8.355, 17.04, 34.27, 68.63, 137.3, 274.6, 549.0}, {2.080, 3.865, 8.307, 17.18, 34.71, 69.59, 139.3, 278.6, 557.2} }; /* Add Patrick */ static int *b = NULL; static int lastSizeOfB = 0; void dwt_clean() { if (b != NULL) { free(b); } b = NULL; lastSizeOfB = 0; } /* \ Add Patrick */ /* */ /* Forward lazy transform. */ /* */ void dwt_deinterleave(int *a, int n, int x, int res, int cas) { int dn, sn, i; sn = res; dn = n - res; if (lastSizeOfB != n) { if (b != NULL) free(b); b = (int *) malloc(n * sizeof(int)); lastSizeOfB = n; } if (cas) { for (i = 0; i < sn; i++) b[i] = a[(2 * i + 1) * x]; for (i = 0; i < dn; i++) b[sn + i] = a[2 * i * x]; } else { for (i = 0; i < sn; i++) b[i] = a[2 * i * x]; for (i = 0; i < dn; i++) b[sn + i] = a[(2 * i + 1) * x]; } for (i = 0; i < n; i++) a[i * x] = b[i]; } /* */ /* Forward lazy transform. */ /* */ void dwt_deinterleave_real(int *a, int n, int x, int res, int cas) { int dn, sn, i; sn = res; dn = n - res; if (lastSizeOfB != n) { if (b != NULL) free(b); b = (int *) malloc(n * sizeof(int)); lastSizeOfB = n; } if (cas) { for (i = 0; i < sn; i++) b[i] = a[(2 * i + 1) * x]; for (i = 0; i < dn; i++) b[sn + i] = a[2 * i * x]; } else { for (i = 0; i < sn; i++) b[i] = a[2 * i * x]; for (i = 0; i < dn; i++) b[sn + i] = a[(2 * i + 1) * x]; } for (i = 0; i < n; i++) a[i * x] = b[i]; } /* */ /* Inverse lazy transform. */ /* */ void dwt_interleave(int *a, int n, int x, int res, int cas) { int dn, sn, i; sn = res; dn = n - res; if (lastSizeOfB != n) { if (b != NULL) free(b); b = (int *) malloc(n * sizeof(int)); lastSizeOfB = n; } if (cas) { for (i = 0; i < sn; i++) b[2 * i + 1] = a[i * x]; for (i = 0; i < dn; i++) b[2 * i] = a[(sn + i) * x]; } else { for (i = 0; i < sn; i++) b[2 * i] = a[i * x]; for (i = 0; i < dn; i++) b[2 * i + 1] = a[(sn + i) * x]; } for (i = 0; i < n; i++) a[i * x] = b[i]; } /* */ /* Inverse lazy transform. */ /* */ void dwt_interleave_real(int *a, int n, int x, int res, int cas) { int dn, sn, i; sn = res; dn = n - res; if (lastSizeOfB != n) { if (b != NULL) free(b); b = (int *) malloc(n * sizeof(int)); lastSizeOfB = n; } if (cas) { for (i = 0; i < sn; i++) b[2 * i + 1] = a[i * x]; for (i = 0; i < dn; i++) b[2 * i] = a[(sn + i) * x]; } else { for (i = 0; i < sn; i++) b[2 * i] = a[i * x]; for (i = 0; i < dn; i++) b[2 * i + 1] = a[(sn + i) * x]; } for (i = 0; i < n; i++) a[i * x] = b[i]; } /* */ /* Forward 5-3 wavelet tranform in 1-D. */ /* */ void dwt_encode_1(int *a, int n, int x, int res, int cas) { int dn, sn, i = 0; sn = res; dn = n - res; if (cas) { if (!sn && dn == 1) /* NEW : CASE ONE ELEMENT */ S(i) *= 2; else { for (i = 0; i < dn; i++) S(i) -= (DD_(i) + DD_(i - 1)) >> 1; for (i = 0; i < sn; i++) D(i) += (SS_(i) + SS_(i + 1) + 2) >> 2; } } else { if ((dn > 0) || (sn > 1)) { /* NEW : CASE ONE ELEMENT */ for (i = 0; i < dn; i++) D(i) -= (S_(i) + S_(i + 1)) >> 1; for (i = 0; i < sn; i++) S(i) += (D_(i - 1) + D_(i) + 2) >> 2; } } dwt_deinterleave(a, n, x, res, cas); } /* */ /* Inverse 5-3 wavelet tranform in 1-D. */ /* */ void dwt_decode_1(int *a, int n, int x, int res, int cas) { int dn, sn, i = 0; /* dn=n/2; */ /* sn=(n+1)/2; */ sn = res; dn = n - res; dwt_interleave(a, n, x, res, cas); if (cas) { if (!sn && dn == 1) /* NEW : CASE ONE ELEMENT */ S(i) /= 2; else { for (i = 0; i < sn; i++) D(i) -= (SS_(i) + SS_(i + 1) + 2) >> 2; for (i = 0; i < dn; i++) S(i) += (DD_(i) + DD_(i - 1)) >> 1; } } else { if ((dn > 0) || (sn > 1)) { /* NEW : CASE ONE ELEMENT */ for (i = 0; i < sn; i++) S(i) -= (D_(i - 1) + D_(i) + 2) >> 2; for (i = 0; i < dn; i++) D(i) += (S_(i) + S_(i + 1)) >> 1; } } } /* */ /* Forward 5-3 wavelet tranform in 2-D. */ /* */ void dwt_encode(int *a, int w, int h, tcd_tilecomp_t * tilec, int l) { int i, j, rw, rh, rw1, rh1; int previous_rw, previous_rh, previous_rw1, previous_rh1; for (i = 0; i < l; i++) { int cas_col = 0; int cas_row = 0; rw = tilec->resolutions[l - i].x1 - tilec->resolutions[l - i].x0; rh = tilec->resolutions[l - i].y1 - tilec->resolutions[l - i].y0; rw1 = tilec->resolutions[l - i - 1].x1 - tilec->resolutions[l - i - 1].x0; rh1 = tilec->resolutions[l - i - 1].y1 - tilec->resolutions[l - i - 1].y0; /* Check the different cases for that it's necessary to invert high pass and low pass filter */ if (tilec->previous_row) { previous_rw = tilec->resolutions[l - i].previous_x1 - tilec->resolutions[l - i]. previous_x0; previous_rw1 = tilec->resolutions[l - i - 1].previous_x1 - tilec->resolutions[l - i - 1]. previous_x0; /* inversion on the previous and propagation of the inversion on the other tile */ if ((previous_rw1 > previous_rw - previous_rw1 && rw1 == rw - rw1) || (tilec->resolutions[l - i - 1].cas_row && previous_rw1 == previous_rw - previous_rw1)) cas_row = 1; } if (tilec->previous_col) { previous_rh = tilec->resolutions[l - i].previous_y1 - tilec->resolutions[l - i]. previous_y0; previous_rh1 = tilec->resolutions[l - i - 1].previous_y1 - tilec->resolutions[l - i - 1]. previous_y0; /* inversion on the previous and propagation of the inversion on the other tile */ if ((previous_rh1 > previous_rh - previous_rh1 && rh1 == rh - rh1) || (tilec->resolutions[l - i - 1].cas_col && previous_rh1 == previous_rh - previous_rh1)) cas_col = 1; } /* subband LL shorter than LH or HL */ if (rw1 < rw - rw1) cas_row = 1; if (rh1 < rh - rh1) cas_col = 1; /* OFFSET IMAGE (If origin of the resolution is odd and first tile on the row or column) */ if (!tilec->previous_row && ((tilec->resolutions[l - i].x0 % 2) == 1)) cas_row = 1; if (!tilec->previous_col && ((tilec->resolutions[l - i].y0 % 2) == 1)) cas_col = 1; tilec->resolutions[l - i - 1].cas_row = cas_row; tilec->resolutions[l - i - 1].cas_col = cas_col; for (j = 0; j < rw; j++) dwt_encode_1(a + j, rh, w, rh1, cas_col); for (j = 0; j < rh; j++) dwt_encode_1(a + j * w, rw, 1, rw1, cas_row); } dwt_clean(); } /* */ /* Inverse 5-3 wavelet tranform in 2-D. */ /* */ void dwt_decode(int *a, int w, int h, tcd_tilecomp_t * tilec, int l, tcd_tilecomp_t * row_tilec, tcd_tilecomp_t * col_tilec) { int i, j, rw, rh, rw1, rh1; int previous_rw, previous_rh, previous_rw1, previous_rh1; for (i = l - 1; i >= 0; i--) { int cas_col = 0; int cas_row = 0; rw = tilec->resolutions[l - i].x1 - tilec->resolutions[l - i].x0; rh = tilec->resolutions[l - i].y1 - tilec->resolutions[l - i].y0; rw1 = tilec->resolutions[l - i - 1].x1 - tilec->resolutions[l - i - 1].x0; rh1 = tilec->resolutions[l - i - 1].y1 - tilec->resolutions[l - i - 1].y0; if (tilec->previous_row) { previous_rw = tilec->resolutions[l - i].previous_x1 - tilec->resolutions[l - i]. previous_x0; previous_rw1 = tilec->resolutions[l - i - 1].previous_x1 - tilec->resolutions[l - i - 1]. previous_x0; if ((previous_rw1 > previous_rw - previous_rw1 && rw1 == rw - rw1) || (row_tilec->resolutions[l - i - 1].cas_row && previous_rw1 == previous_rw - previous_rw1)) cas_row = 1; } if (tilec->previous_col) { previous_rh = tilec->resolutions[l - i].previous_y1 - tilec->resolutions[l - i]. previous_y0; previous_rh1 = tilec->resolutions[l - i - 1].previous_y1 - tilec->resolutions[l - i - 1]. previous_y0; if ((previous_rh1 > previous_rh - previous_rh1 && rh1 == rh - rh1) || (col_tilec->resolutions[l - i - 1].cas_col && previous_rh1 == previous_rh - previous_rh1)) cas_col = 1; } if (rw1 < rw - rw1) cas_row = 1; if (rh1 < rh - rh1) cas_col = 1; /* OFFSET IMAGE (If origin of the resolution is odd and first tile on the row or column) */ if (!tilec->previous_row && ((tilec->resolutions[l - i].x0 % 2) == 1)) cas_row = 1; if (!tilec->previous_col && ((tilec->resolutions[l - i].y0 % 2) == 1)) cas_col = 1; tilec->resolutions[l - i - 1].cas_row = cas_row; tilec->resolutions[l - i - 1].cas_col = cas_col; for (j = 0; j < rh; j++) dwt_decode_1(a + j * w, rw, 1, rw1, cas_row); for (j = 0; j < rw; j++) dwt_decode_1(a + j, rh, w, rh1, cas_col); } dwt_clean(); } /* */ /* Get gain of 5-3 wavelet transform. */ /* */ int dwt_getgain(int orient) { if (orient == 0) return 0; if (orient == 1 || orient == 2) return 1; return 2; } /* */ /* Get norm of 5-3 wavelet. */ /* */ double dwt_getnorm(int level, int orient) { return dwt_norms[orient][level]; } /* */ /* Forward 9-7 wavelet transform in 1-D. */ /* */ void dwt_encode_1_real(int *a, int n, int x, int res, int cas) { int dn, sn, i = 0; dn = n - res; sn = res; if (cas) { if ((sn > 0) || (dn > 1)) { /* NEW : CASE ONE ELEMENT */ for (i = 0; i < dn; i++) S(i) -= fix_mul(DD_(i) + DD_(i - 1), 12993); for (i = 0; i < sn; i++) D(i) -= fix_mul(SS_(i) + SS_(i + 1), 434); for (i = 0; i < dn; i++) S(i) += fix_mul(DD_(i) + DD_(i - 1), 7233); for (i = 0; i < sn; i++) D(i) += fix_mul(SS_(i) + SS_(i + 1), 3633); for (i = 0; i < dn; i++) S(i) = fix_mul(S(i), 5038); for (i = 0; i < sn; i++) D(i) = fix_mul(D(i), 6660); } } else { if ((dn > 0) || (sn > 1)) { /* NEW : CASE ONE ELEMENT */ for (i = 0; i < dn; i++) D(i) -= fix_mul(S_(i) + S_(i + 1), 12993); for (i = 0; i < sn; i++) S(i) -= fix_mul(D_(i - 1) + D_(i), 434); for (i = 0; i < dn; i++) D(i) += fix_mul(S_(i) + S_(i + 1), 7233); for (i = 0; i < sn; i++) S(i) += fix_mul(D_(i - 1) + D_(i), 3633); for (i = 0; i < dn; i++) D(i) = fix_mul(D(i), 5038); for (i = 0; i < sn; i++) S(i) = fix_mul(S(i), 6660); } } dwt_deinterleave_real(a, n, x, res, cas); } /* */ /* Inverse 9-7 wavelet transform in 1-D. */ /* */ void dwt_decode_1_real(int *a, int n, int x, int res, int cas) { int dn, sn, i = 0; dn = n - res; sn = res; dwt_interleave_real(a, n, x, res, cas); if (cas) { if ((sn > 0) || (dn > 1)) { /* NEW : CASE ONE ELEMENT */ for (i = 0; i < sn; i++) D(i) = fix_mul(D(i), 10076); for (i = 0; i < dn; i++) S(i) = fix_mul(S(i), 13320); for (i = 0; i < sn; i++) D(i) -= fix_mul(SS_(i) + SS_(i + 1), 3633); for (i = 0; i < dn; i++) S(i) -= fix_mul(DD_(i) + DD_(i - 1), 7233); for (i = 0; i < sn; i++) D(i) += fix_mul(SS_(i) + SS_(i + 1), 434); for (i = 0; i < dn; i++) S(i) += fix_mul(DD_(i) + DD_(i - 1), 12993); } } else { if ((dn > 0) || (sn > 1)) { /* NEW : CASE ONE ELEMENT */ for (i = 0; i < sn; i++) S(i) = fix_mul(S(i), 10076); for (i = 0; i < dn; i++) D(i) = fix_mul(D(i), 13320); for (i = 0; i < sn; i++) S(i) -= fix_mul(D_(i - 1) + D_(i), 3633); for (i = 0; i < dn; i++) D(i) -= fix_mul(S_(i) + S_(i + 1), 7233); for (i = 0; i < sn; i++) S(i) += fix_mul(D_(i - 1) + D_(i), 434); for (i = 0; i < dn; i++) D(i) += fix_mul(S_(i) + S_(i + 1), 12993); } } } /* */ /* Forward 9-7 wavelet transform in 2-D. */ /* */ void dwt_encode_real(int *a, int w, int h, tcd_tilecomp_t * tilec, int l) { int i, j, rw, rh, rw1, rh1; int previous_rw, previous_rh, previous_rw1, previous_rh1; for (i = 0; i < l; i++) { int cas_col = 0; int cas_row = 0; rw = tilec->resolutions[l - i].x1 - tilec->resolutions[l - i].x0; rh = tilec->resolutions[l - i].y1 - tilec->resolutions[l - i].y0; rw1 = tilec->resolutions[l - i - 1].x1 - tilec->resolutions[l - i - 1].x0; rh1 = tilec->resolutions[l - i - 1].y1 - tilec->resolutions[l - i - 1].y0; if (tilec->previous_row) { previous_rw = tilec->resolutions[l - i].previous_x1 - tilec->resolutions[l - i]. previous_x0; previous_rw1 = tilec->resolutions[l - i - 1].previous_x1 - tilec->resolutions[l - i - 1]. previous_x0; if ((previous_rw1 > previous_rw - previous_rw1 && rw1 == rw - rw1) || (tilec->resolutions[l - i - 1].cas_row && previous_rw1 == previous_rw - previous_rw1)) cas_row = 1; } if (tilec->previous_col) { previous_rh = tilec->resolutions[l - i].previous_y1 - tilec->resolutions[l - i]. previous_y0; previous_rh1 = tilec->resolutions[l - i - 1].previous_y1 - tilec->resolutions[l - i - 1]. previous_y0; if ((previous_rh1 > previous_rh - previous_rh1 && rh1 == rh - rh1) || (tilec->resolutions[l - i - 1].cas_col && previous_rh1 == previous_rh - previous_rh1)) cas_col = 1; } if (rw1 < rw - rw1) cas_row = 1; if (rh1 < rh - rh1) cas_col = 1; /* OFFSET IMAGE (If origin of the resolution is odd and first tile on the row or column) */ if (!tilec->previous_row && ((tilec->resolutions[l - i].x0 % 2) == 1)) cas_row = 1; if (!tilec->previous_col && ((tilec->resolutions[l - i].y0 % 2) == 1)) cas_col = 1; tilec->resolutions[l - i - 1].cas_row = cas_row; tilec->resolutions[l - i - 1].cas_col = cas_col; for (j = 0; j < rw; j++) dwt_encode_1_real(a + j, rh, w, rh1, cas_col); for (j = 0; j < rh; j++) dwt_encode_1_real(a + j * w, rw, 1, rw1, cas_row); } } /* */ /* Inverse 9-7 wavelet transform in 2-D. */ /* */ void dwt_decode_real(int *a, int w, int h, tcd_tilecomp_t * tilec, int l, tcd_tilecomp_t * row_tilec, tcd_tilecomp_t * col_tilec) { int i, j, rw, rh, rw1, rh1; int previous_rw, previous_rh, previous_rw1, previous_rh1; for (i = l - 1; i >= 0; i--) { int cas_col = 0; int cas_row = 0; rw = tilec->resolutions[l - i].x1 - tilec->resolutions[l - i].x0; rh = tilec->resolutions[l - i].y1 - tilec->resolutions[l - i].y0; rw1 = tilec->resolutions[l - i - 1].x1 - tilec->resolutions[l - i - 1].x0; rh1 = tilec->resolutions[l - i - 1].y1 - tilec->resolutions[l - i - 1].y0; if (tilec->previous_row) { previous_rw = tilec->resolutions[l - i].previous_x1 - tilec->resolutions[l - i]. previous_x0; previous_rw1 = tilec->resolutions[l - i - 1].previous_x1 - tilec->resolutions[l - i - 1]. previous_x0; if ((previous_rw1 > previous_rw - previous_rw1 && rw1 == rw - rw1) || (row_tilec->resolutions[l - i - 1].cas_row && previous_rw1 == previous_rw - previous_rw1)) cas_row = 1; } if (tilec->previous_col) { previous_rh = tilec->resolutions[l - i].previous_y1 - tilec->resolutions[l - i]. previous_y0; previous_rh1 = tilec->resolutions[l - i - 1].previous_y1 - tilec->resolutions[l - i - 1]. previous_y0; if ((previous_rh1 > previous_rh - previous_rh1 && rh1 == rh - rh1) || (col_tilec->resolutions[l - i - 1].cas_col && previous_rh1 == previous_rh - previous_rh1)) cas_col = 1; } if (rw1 < rw - rw1) cas_row = 1; if (rh1 < rh - rh1) cas_col = 1; /* OFFSET IMAGE (If origin of the resolution is odd and first tile on the row or column) */ if (!tilec->previous_row && ((tilec->resolutions[l - i].x0 % 2) == 1)) cas_row = 1; if (!tilec->previous_col && ((tilec->resolutions[l - i].y0 % 2) == 1)) cas_col = 1; tilec->resolutions[l - i - 1].cas_row = cas_row; tilec->resolutions[l - i - 1].cas_col = cas_col; for (j = 0; j < rh; j++) dwt_decode_1_real(a + j * w, rw, 1, rw1, cas_row); for (j = 0; j < rw; j++) dwt_decode_1_real(a + j, rh, w, rh1, cas_col); } } /* */ /* Get gain of 9-7 wavelet transform. */ /* */ int dwt_getgain_real(int orient) { return 0; } /* */ /* Get norm of 9-7 wavelet. */ /* */ double dwt_getnorm_real(int level, int orient) { return dwt_norms_real[orient][level]; }