541 lines
18 KiB
C
541 lines
18 KiB
C
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/*
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* Copyright (c) 2001-2002, David Janssens
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* Copyright (c) 2002-2004, Yannick Verschueren
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* Copyright (c) 2002-2004, Communications and remote sensing Laboratory, Universite catholique de Louvain, Belgium
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* Copyright (c) 2005, Reiner Wahler
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS `AS IS'
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* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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* POSSIBILITY OF SUCH DAMAGE.
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*/
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/*
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* NOTE:
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* This is a modified version of the openjpeg dwt.c file.
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* Average speed improvement compared to the original file (measured on
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* my own machine, a P4 running at 3.0 GHz):
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* 5x3 wavelets about 2 times faster
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* 9x7 wavelets about 3 times faster
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* for both, encoding and decoding.
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*
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* The better performance is caused by doing the 1-dimensional DWT
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* within a temporary buffer where the data can be accessed sequential
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* for both directions, horizontal and vertical. The 2d vertical DWT was
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* the major bottleneck in the former version.
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*
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* I have also removed the "Add Patrick" part because it is not longer
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* needed.
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*
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* 6/6/2005
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* -Ive (aka Reiner Wahler)
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* mail: ive@lilysoft.com
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*/
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#include "dwt.h"
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#include "int.h"
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#include "fix.h"
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#include "tcd.h"
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#include <stdlib.h>
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#define S(i) a[(i)*2]
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#define D(i) a[(1+(i)*2)]
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#define S_(i) ((i)<0?S(0):((i)>=sn?S(sn-1):S(i)))
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#define D_(i) ((i)<0?D(0):((i)>=dn?D(dn-1):D(i)))
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/* new */
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#define SS_(i) ((i)<0?S(0):((i)>=dn?S(dn-1):S(i)))
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#define DD_(i) ((i)<0?D(0):((i)>=sn?D(sn-1):D(i)))
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/* <summary> */
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/* This table contains the norms of the 5-3 wavelets for different bands. */
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/* </summary> */
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double dwt_norms[4][10] = {
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{1.000, 1.500, 2.750, 5.375, 10.68, 21.34, 42.67, 85.33, 170.7, 341.3},
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{1.038, 1.592, 2.919, 5.703, 11.33, 22.64, 45.25, 90.48, 180.9},
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{1.038, 1.592, 2.919, 5.703, 11.33, 22.64, 45.25, 90.48, 180.9},
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{.7186, .9218, 1.586, 3.043, 6.019, 12.01, 24.00, 47.97, 95.93}
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};
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/* <summary> */
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/* This table contains the norms of the 9-7 wavelets for different bands. */
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/* </summary> */
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double dwt_norms_real[4][10] = {
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{1.000, 1.965, 4.177, 8.403, 16.90, 33.84, 67.69, 135.3, 270.6, 540.9},
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{2.022, 3.989, 8.355, 17.04, 34.27, 68.63, 137.3, 274.6, 549.0},
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{2.022, 3.989, 8.355, 17.04, 34.27, 68.63, 137.3, 274.6, 549.0},
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{2.080, 3.865, 8.307, 17.18, 34.71, 69.59, 139.3, 278.6, 557.2}
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};
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/* <summary> */
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/* Forward lazy transform (horizontal). */
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/* </summary> */
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void dwt_deinterleave_h(int *a, int *b, int dn, int sn, int cas) {
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int i;
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for (i=0; i<sn; i++) b[i]=a[2*i+cas];
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for (i=0; i<dn; i++) b[sn+i]=a[(2*i+1-cas)];
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}
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/* <summary> */
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/* Forward lazy transform (vertical). */
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/* </summary> */
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void dwt_deinterleave_v(int *a, int *b, int dn, int sn, int x, int cas) {
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int i;
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for (i=0; i<sn; i++) b[i*x]=a[2*i+cas];
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for (i=0; i<dn; i++) b[(sn+i)*x]=a[(2*i+1-cas)];
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}
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/* <summary> */
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/* Inverse lazy transform (horizontal). */
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/* </summary> */
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void dwt_interleave_h(int *a, int *b, int dn, int sn, int cas) {
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int i;
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/* for (i=0; i<sn; i++) b[2*i+cas]=a[i];*/
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/* for (i=0; i<dn; i++) b[2*i+1-cas]=a[(sn+i)];*/
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int* ai;
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int* bi;
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ai=a;
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bi=b+cas;
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for (i=0; i<sn; i++) {
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*bi = *ai; bi+=2; ai++;
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}
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ai=a+sn;
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bi=b+1-cas;
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for (i=0; i<dn; i++) {
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*bi = *ai; bi+=2; ai++;
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}
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}
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/* <summary> */
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/* Inverse lazy transform (vertical). */
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/* </summary> */
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void dwt_interleave_v(int *a, int *b, int dn, int sn, int x, int cas) {
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int i;
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/* for (i=0; i<sn; i++) b[2*i+cas]=a[i*x];*/
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/* for (i=0; i<dn; i++) b[2*i+1-cas]=a[(sn+i)*x];*/
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int* ai;
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int* bi;
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ai=a;
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bi=b+cas;
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for (i=0; i<sn; i++) {
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*bi = *ai; bi+=2; ai+=x;
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}
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ai=a+(sn*x);
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bi=b+1-cas;
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for (i=0; i<dn; i++) {
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*bi = *ai; bi+=2; ai+=x;
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}
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}
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/* <summary> */
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/* Forward 5-3 wavelet tranform in 1-D. */
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/* </summary> */
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void dwt_encode_1(int *a, int dn, int sn, int cas)
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{
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int i;
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if (!cas) {
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if ((dn > 0) || (sn > 1)) { /* NEW : CASE ONE ELEMENT */
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for (i = 0; i < dn; i++) D(i) -= (S_(i) + S_(i + 1)) >> 1;
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for (i = 0; i < sn; i++) S(i) += (D_(i - 1) + D_(i) + 2) >> 2;
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}
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} else {
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if (!sn && dn == 1) /* NEW : CASE ONE ELEMENT */
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S(0) *= 2;
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else {
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for (i = 0; i < dn; i++) S(i) -= (DD_(i) + DD_(i - 1)) >> 1;
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for (i = 0; i < sn; i++) D(i) += (SS_(i) + SS_(i + 1) + 2) >> 2;
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}
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}
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}
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/* <summary> */
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/* Inverse 5-3 wavelet tranform in 1-D. */
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/* </summary> */
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void dwt_decode_1(int *a, int dn, int sn, int cas)
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{
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int i;
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if (!cas) {
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if ((dn > 0) || (sn > 1)) { /* NEW : CASE ONE ELEMENT */
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for (i = 0; i < sn; i++) S(i) -= (D_(i - 1) + D_(i) + 2) >> 2;
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for (i = 0; i < dn; i++) D(i) += (S_(i) + S_(i + 1)) >> 1;
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}
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} else {
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if (!sn && dn == 1) /* NEW : CASE ONE ELEMENT */
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S(0) /= 2;
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else {
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for (i = 0; i < sn; i++) D(i) -= (SS_(i) + SS_(i + 1) + 2) >> 2;
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for (i = 0; i < dn; i++) S(i) += (DD_(i) + DD_(i - 1)) >> 1;
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}
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}
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}
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/* <summary> */
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/* Forward 5-3 wavelet tranform in 2-D. */
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/* </summary> */
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void dwt_encode(tcd_tilecomp_t * tilec)
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{
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int i, j, k;
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int* a;
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int* aj;
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int* bj;
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int w, l;
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w = tilec->x1-tilec->x0;
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l = tilec->numresolutions-1;
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a = tilec->data;
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for (i = 0; i < l; i++) {
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int rw; /* width of the resolution level computed */
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int rh; /* heigth of the resolution level computed */
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int rw1; /* width of the resolution level once lower than computed one */
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int rh1; /* height of the resolution level once lower than computed one */
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int cas_col; /* 0 = non inversion on horizontal filtering 1 = inversion between low-pass and high-pass filtering */
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int cas_row; /* 0 = non inversion on vertical filtering 1 = inversion between low-pass and high-pass filtering */
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int dn, sn;
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rw = tilec->resolutions[l - i].x1 - tilec->resolutions[l - i].x0;
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rh = tilec->resolutions[l - i].y1 - tilec->resolutions[l - i].y0;
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rw1= tilec->resolutions[l - i - 1].x1 - tilec->resolutions[l - i - 1].x0;
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rh1= tilec->resolutions[l - i - 1].y1 - tilec->resolutions[l - i - 1].y0;
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cas_row = tilec->resolutions[l - i].x0 % 2;
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cas_col = tilec->resolutions[l - i].y0 % 2;
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sn = rh1;
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dn = rh - rh1;
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bj=(int*)malloc(rh*sizeof(int));
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for (j=0; j<rw; j++) {
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aj=a+j;
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for (k=0; k<rh; k++) bj[k]=aj[k*w];
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dwt_encode_1(bj, dn, sn, cas_col);
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dwt_deinterleave_v(bj, aj, dn, sn, w, cas_col);
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}
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free(bj);
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sn = rw1;
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dn = rw - rw1;
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bj=(int*)malloc(rw*sizeof(int));
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for (j=0; j<rh; j++) {
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aj=a+j*w;
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for (k=0; k<rw; k++) bj[k]=aj[k];
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dwt_encode_1(bj, dn, sn, cas_row);
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dwt_deinterleave_h(bj, aj, dn, sn, cas_row);
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}
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free(bj);
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}
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}
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/* <summary> */
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/* Inverse 5-3 wavelet tranform in 2-D. */
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/* </summary> */
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void dwt_decode(tcd_tilecomp_t * tilec, int stop)
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{
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int i, j, k;
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int* a;
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int* aj;
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int* bj;
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int w, l;
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w = tilec->x1-tilec->x0;
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l = tilec->numresolutions-1;
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a = tilec->data;
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for (i = l - 1; i >= stop; i--) {
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int rw; /* width of the resolution level computed */
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int rh; /* heigth of the resolution level computed */
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int rw1; /* width of the resolution level once lower than computed one */
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int rh1; /* height of the resolution level once lower than computed one */
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int cas_col; /* 0 = non inversion on horizontal filtering 1 = inversion between low-pass and high-pass filtering */
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int cas_row; /* 0 = non inversion on vertical filtering 1 = inversion between low-pass and high-pass filtering */
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int dn, sn;
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rw = tilec->resolutions[l - i].x1 - tilec->resolutions[l - i].x0;
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rh = tilec->resolutions[l - i].y1 - tilec->resolutions[l - i].y0;
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rw1= tilec->resolutions[l - i - 1].x1 - tilec->resolutions[l - i - 1].x0;
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rh1= tilec->resolutions[l - i - 1].y1 - tilec->resolutions[l - i - 1].y0;
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cas_row = tilec->resolutions[l - i].x0 % 2;
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cas_col = tilec->resolutions[l - i].y0 % 2;
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sn = rw1;
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dn = rw - rw1;
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bj=(int*)malloc(rw*sizeof(int));
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for (j = 0; j < rh; j++) {
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aj = a+j*w;
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dwt_interleave_h(aj, bj, dn, sn, cas_row);
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dwt_decode_1(bj, dn, sn, cas_row);
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for (k = 0; k < rw; k++) aj[k] = bj[k];
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}
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free(bj);
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sn = rh1;
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dn = rh - rh1;
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bj=(int*)malloc(rh*sizeof(int));
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for (j = 0; j < rw; j++) {
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aj = a+j;
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dwt_interleave_v(aj, bj, dn, sn, w, cas_col);
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dwt_decode_1(bj, dn, sn, cas_col);
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for (k = 0; k < rh; k++) aj[k * w] = bj[k];
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}
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free(bj);
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}
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}
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/* <summary> */
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/* Get gain of 5-3 wavelet transform. */
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/* </summary> */
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int dwt_getgain(int orient)
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{
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if (orient == 0)
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return 0;
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if (orient == 1 || orient == 2)
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return 1;
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return 2;
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}
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/* <summary> */
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/* Get norm of 5-3 wavelet. */
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/* </summary> */
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double dwt_getnorm(int level, int orient)
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{
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return dwt_norms[orient][level];
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}
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/* <summary> */
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/* Forward 9-7 wavelet transform in 1-D. */
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/* </summary> */
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void dwt_encode_1_real(int *a, int dn, int sn, int cas)
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{
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int i;
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if (!cas) {
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if ((dn > 0) || (sn > 1)) { /* NEW : CASE ONE ELEMENT */
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for (i = 0; i < dn; i++)
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D(i) -= fix_mul(S_(i) + S_(i + 1), 12993);
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for (i = 0; i < sn; i++)
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S(i) -= fix_mul(D_(i - 1) + D_(i), 434);
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for (i = 0; i < dn; i++)
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D(i) += fix_mul(S_(i) + S_(i + 1), 7233);
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for (i = 0; i < sn; i++)
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S(i) += fix_mul(D_(i - 1) + D_(i), 3633);
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for (i = 0; i < dn; i++)
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D(i) = fix_mul(D(i), 5038); /*5038 */
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for (i = 0; i < sn; i++)
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S(i) = fix_mul(S(i), 6659); /*6660 */
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}
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} else {
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if ((sn > 0) || (dn > 1)) { /* NEW : CASE ONE ELEMENT */
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for (i = 0; i < dn; i++)
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S(i) -= fix_mul(DD_(i) + DD_(i - 1), 12993);
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for (i = 0; i < sn; i++)
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D(i) -= fix_mul(SS_(i) + SS_(i + 1), 434);
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for (i = 0; i < dn; i++)
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S(i) += fix_mul(DD_(i) + DD_(i - 1), 7233);
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for (i = 0; i < sn; i++)
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D(i) += fix_mul(SS_(i) + SS_(i + 1), 3633);
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for (i = 0; i < dn; i++)
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S(i) = fix_mul(S(i), 5038); /*5038 */
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for (i = 0; i < sn; i++)
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D(i) = fix_mul(D(i), 6659); /*6660 */
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}
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}
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}
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/* <summary> */
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||
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/* Inverse 9-7 wavelet transform in 1-D. */
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||
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/* </summary> */
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void dwt_decode_1_real(int *a, int dn, int sn, int cas)
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{
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|
int i;
|
||
|
if (!cas) {
|
||
|
if ((dn > 0) || (sn > 1)) { /* NEW : CASE ONE ELEMENT */
|
||
|
for (i = 0; i < sn; i++)
|
||
|
S(i) = fix_mul(S(i), 10078); /* 10076 */
|
||
|
for (i = 0; i < dn; i++)
|
||
|
D(i) = fix_mul(D(i), 13318); /* 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), 12994); /* 12993 */
|
||
|
}
|
||
|
} else {
|
||
|
if ((sn > 0) || (dn > 1)) { /* NEW : CASE ONE ELEMENT */
|
||
|
for (i = 0; i < sn; i++)
|
||
|
D(i) = fix_mul(D(i), 10078); /* 10076 */
|
||
|
for (i = 0; i < dn; i++)
|
||
|
S(i) = fix_mul(S(i), 13318); /* 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), 12994); /* 12993 */
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
|
||
|
/* <summary> */
|
||
|
/* Forward 9-7 wavelet transform in 2-D. */
|
||
|
/* </summary> */
|
||
|
|
||
|
void dwt_encode_real(tcd_tilecomp_t * tilec)
|
||
|
{
|
||
|
int i, j, k;
|
||
|
int* a;
|
||
|
int* aj;
|
||
|
int* bj;
|
||
|
int w, l;
|
||
|
|
||
|
w = tilec->x1-tilec->x0;
|
||
|
l = tilec->numresolutions-1;
|
||
|
a = tilec->data;
|
||
|
|
||
|
for (i = 0; i < l; i++) {
|
||
|
int rw; /* width of the resolution level computed */
|
||
|
int rh; /* heigth of the resolution level computed */
|
||
|
int rw1; /* width of the resolution level once lower than computed one */
|
||
|
int rh1; /* height of the resolution level once lower than computed one */
|
||
|
int cas_col; /* 0 = non inversion on horizontal filtering 1 = inversion between low-pass and high-pass filtering */
|
||
|
int cas_row; /* 0 = non inversion on vertical filtering 1 = inversion between low-pass and high-pass filtering */
|
||
|
int dn, sn;
|
||
|
|
||
|
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;
|
||
|
|
||
|
cas_row = tilec->resolutions[l - i].x0 % 2;
|
||
|
cas_col = tilec->resolutions[l - i].y0 % 2;
|
||
|
|
||
|
sn = rh1;
|
||
|
dn = rh - rh1;
|
||
|
bj=(int*)malloc(rh*sizeof(int));
|
||
|
for (j = 0; j < rw; j++) {
|
||
|
aj = a + j;
|
||
|
for (k = 0; k < rh; k++) bj[k] = aj[k*w];
|
||
|
dwt_encode_1_real(bj, dn, sn, cas_col);
|
||
|
dwt_deinterleave_v(bj, aj, dn, sn, w, cas_col);
|
||
|
}
|
||
|
free(bj);
|
||
|
|
||
|
sn = rw1;
|
||
|
dn = rw - rw1;
|
||
|
bj=(int*)malloc(rw*sizeof(int));
|
||
|
for (j = 0; j < rh; j++) {
|
||
|
aj = a + j * w;
|
||
|
for (k = 0; k < rw; k++) bj[k] = aj[k];
|
||
|
dwt_encode_1_real(bj, dn, sn, cas_row);
|
||
|
dwt_deinterleave_h(bj, aj, dn, sn, cas_row);
|
||
|
}
|
||
|
free(bj);
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
/* <summary> */
|
||
|
/* Inverse 9-7 wavelet transform in 2-D. */
|
||
|
/* </summary> */
|
||
|
void dwt_decode_real(tcd_tilecomp_t * tilec, int stop)
|
||
|
{
|
||
|
|
||
|
int i, j, k;
|
||
|
int* a;
|
||
|
int* aj;
|
||
|
int* bj;
|
||
|
int w, l;
|
||
|
|
||
|
w = tilec->x1-tilec->x0;
|
||
|
l = tilec->numresolutions-1;
|
||
|
a = tilec->data;
|
||
|
|
||
|
for (i = l-1; i >= stop; i--) {
|
||
|
int rw; /* width of the resolution level computed */
|
||
|
int rh; /* heigth of the resolution level computed */
|
||
|
int rw1; /* width of the resolution level once lower than computed one */
|
||
|
int rh1; /* height of the resolution level once lower than computed one */
|
||
|
int cas_col; /* 0 = non inversion on horizontal filtering 1 = inversion between low-pass and high-pass filtering */
|
||
|
int cas_row; /* 0 = non inversion on vertical filtering 1 = inversion between low-pass and high-pass filtering */
|
||
|
int dn, sn;
|
||
|
|
||
|
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;
|
||
|
|
||
|
cas_col = tilec->resolutions[l - i].x0 % 2; /* 0 = non inversion on horizontal filtering 1 = inversion between low-pass and high-pass filtering */
|
||
|
cas_row = tilec->resolutions[l - i].y0 % 2; /* 0 = non inversion on vertical filtering 1 = inversion between low-pass and high-pass filtering */
|
||
|
|
||
|
sn = rw1;
|
||
|
dn = rw-rw1;
|
||
|
bj = (int*)malloc(rw * sizeof(int));
|
||
|
for (j = 0; j < rh; j++) {
|
||
|
aj = a+j*w;
|
||
|
dwt_interleave_h(aj, bj, dn, sn, cas_col);
|
||
|
dwt_decode_1_real(bj, dn, sn, cas_col);
|
||
|
for (k = 0; k < rw; k++) aj[k] = bj[k];
|
||
|
}
|
||
|
free(bj);
|
||
|
|
||
|
sn = rh1;
|
||
|
dn = rh-rh1;
|
||
|
bj = (int*)malloc(rh * sizeof(int));
|
||
|
for (j=0; j<rw; j++) {
|
||
|
aj = a+j;
|
||
|
dwt_interleave_v(aj, bj, dn, sn, w, cas_row);
|
||
|
dwt_decode_1_real(bj, dn, sn, cas_row);
|
||
|
for (k = 0; k < rh; k++) aj[k * w] = bj[k];
|
||
|
}
|
||
|
free(bj);
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
/* <summary> */
|
||
|
/* Get gain of 9-7 wavelet transform. */
|
||
|
/* </summary> */
|
||
|
int dwt_getgain_real(int orient)
|
||
|
{
|
||
|
(void)orient;
|
||
|
return 0;
|
||
|
}
|
||
|
|
||
|
/* <summary> */
|
||
|
/* Get norm of 9-7 wavelet. */
|
||
|
/* </summary> */
|
||
|
double dwt_getnorm_real(int level, int orient)
|
||
|
{
|
||
|
return dwt_norms_real[orient][level];
|
||
|
}
|