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571 lines
19 KiB
C++
571 lines
19 KiB
C++
/*
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* The Progressive Graphics File; http://www.libpgf.org
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*
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* $Date: 2006-05-18 16:03:32 +0200 (Do, 18 Mai 2006) $
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* $Revision: 194 $
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*
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* This file Copyright (C) 2006 xeraina GmbH, Switzerland
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*
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* This program is free software; you can redistribute it and/or
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* modify it under the terms of the GNU LESSER GENERAL PUBLIC LICENSE
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* as published by the Free Software Foundation; either version 2.1
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* of the License, or (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
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*/
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//////////////////////////////////////////////////////////////////////
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/// @file WaveletTransform.cpp
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/// @brief PGF wavelet transform class implementation
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/// @author C. Stamm
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#include "WaveletTransform.h"
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#define c1 1 // best value 1
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#define c2 2 // best value 2
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//////////////////////////////////////////////////////////////////////////
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// Constructor: Constructs a wavelet transform pyramid of given size and levels.
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// @param width The width of the original image (at level 0) in pixels
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// @param height The height of the original image (at level 0) in pixels
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// @param levels The number of levels (>= 0)
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// @param data Input data of subband LL at level 0
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CWaveletTransform::CWaveletTransform(UINT32 width, UINT32 height, int levels, DataT* data)
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:
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#ifdef __PGFROISUPPORT__
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m_indices(nullptr),
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#endif
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m_nLevels(levels + 1) // m_nLevels in CPGFImage determines the number of FWT steps; this.m_nLevels determines the number subband-planes
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, m_subband(nullptr)
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{
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ASSERT(m_nLevels > 0 && m_nLevels <= MaxLevel + 1);
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InitSubbands(width, height, data);
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}
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/////////////////////////////////////////////////////////////////////
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// Initialize size subbands on all levels
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void CWaveletTransform::InitSubbands(UINT32 width, UINT32 height, DataT* data) {
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if (m_subband) Destroy();
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// create subbands
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m_subband = new CSubband[m_nLevels][NSubbands];
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// init subbands
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UINT32 loWidth = width;
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UINT32 hiWidth = width;
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UINT32 loHeight = height;
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UINT32 hiHeight = height;
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for (int level = 0; level < m_nLevels; level++) {
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m_subband[level][LL].Initialize(loWidth, loHeight, level, LL); // LL
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m_subband[level][HL].Initialize(hiWidth, loHeight, level, HL); // HL
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m_subband[level][LH].Initialize(loWidth, hiHeight, level, LH); // LH
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m_subband[level][HH].Initialize(hiWidth, hiHeight, level, HH); // HH
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hiWidth = loWidth >> 1; hiHeight = loHeight >> 1;
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loWidth = (loWidth + 1) >> 1; loHeight = (loHeight + 1) >> 1;
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}
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if (data) {
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m_subband[0][LL].SetBuffer(data);
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}
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}
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//////////////////////////////////////////////////////////////////////////
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// Compute fast forward wavelet transform of LL subband at given level and
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// stores result in all 4 subbands of level + 1.
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// Wavelet transform used in writing a PGF file
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// Forward Transform of srcBand and split and store it into subbands on destLevel
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// low pass filter at even positions: 1/8[-1, 2, (6), 2, -1]
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// high pass filter at odd positions: 1/4[-2, (4), -2]
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// @param level A wavelet transform pyramid level (>= 0 && < Levels())
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// @param quant A quantization value (linear scalar quantization)
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// @return error in case of a memory allocation problem
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OSError CWaveletTransform::ForwardTransform(int level, int quant) {
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ASSERT(level >= 0 && level < m_nLevels - 1);
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const int destLevel = level + 1;
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ASSERT(m_subband[destLevel]);
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CSubband* srcBand = &m_subband[level][LL]; ASSERT(srcBand);
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const UINT32 width = srcBand->GetWidth();
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const UINT32 height = srcBand->GetHeight();
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DataT* src = srcBand->GetBuffer(); ASSERT(src);
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DataT *row0, *row1, *row2, *row3;
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// Allocate memory for next transform level
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for (int i=0; i < NSubbands; i++) {
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if (!m_subband[destLevel][i].AllocMemory()) return InsufficientMemory;
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}
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if (height >= FilterSize) { // changed from FilterSizeH to FilterSize
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// top border handling
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row0 = src; row1 = row0 + width; row2 = row1 + width;
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ForwardRow(row0, width);
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ForwardRow(row1, width);
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ForwardRow(row2, width);
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for (UINT32 k=0; k < width; k++) {
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row1[k] -= ((row0[k] + row2[k] + c1) >> 1); // high pass
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row0[k] += ((row1[k] + c1) >> 1); // low pass
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}
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InterleavedToSubbands(destLevel, row0, row1, width);
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row0 = row1; row1 = row2; row2 += width; row3 = row2 + width;
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// middle part
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for (UINT32 i=3; i < height-1; i += 2) {
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ForwardRow(row2, width);
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ForwardRow(row3, width);
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for (UINT32 k=0; k < width; k++) {
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row2[k] -= ((row1[k] + row3[k] + c1) >> 1); // high pass filter
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row1[k] += ((row0[k] + row2[k] + c2) >> 2); // low pass filter
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}
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InterleavedToSubbands(destLevel, row1, row2, width);
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row0 = row2; row1 = row3; row2 = row3 + width; row3 = row2 + width;
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}
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// bottom border handling
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if (height & 1) {
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for (UINT32 k=0; k < width; k++) {
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row1[k] += ((row0[k] + c1) >> 1); // low pass
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}
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InterleavedToSubbands(destLevel, row1, nullptr, width);
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row0 = row1; row1 += width;
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} else {
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ForwardRow(row2, width);
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for (UINT32 k=0; k < width; k++) {
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row2[k] -= row1[k]; // high pass
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row1[k] += ((row0[k] + row2[k] + c2) >> 2); // low pass
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}
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InterleavedToSubbands(destLevel, row1, row2, width);
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row0 = row1; row1 = row2; row2 += width;
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}
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} else {
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// if height is too small
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row0 = src; row1 = row0 + width;
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// first part
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for (UINT32 k=0; k < height; k += 2) {
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ForwardRow(row0, width);
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ForwardRow(row1, width);
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InterleavedToSubbands(destLevel, row0, row1, width);
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row0 += width << 1; row1 += width << 1;
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}
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// bottom
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if (height & 1) {
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InterleavedToSubbands(destLevel, row0, nullptr, width);
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}
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}
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if (quant > 0) {
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// subband quantization (without LL)
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for (int i=1; i < NSubbands; i++) {
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m_subband[destLevel][i].Quantize(quant);
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}
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// LL subband quantization
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if (destLevel == m_nLevels - 1) {
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m_subband[destLevel][LL].Quantize(quant);
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}
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}
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// free source band
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srcBand->FreeMemory();
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return NoError;
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}
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//////////////////////////////////////////////////////////////
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// Forward transform one row
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// low pass filter at even positions: 1/8[-1, 2, (6), 2, -1]
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// high pass filter at odd positions: 1/4[-2, (4), -2]
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void CWaveletTransform::ForwardRow(DataT* src, UINT32 width) {
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if (width >= FilterSize) {
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UINT32 i = 3;
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// left border handling
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src[1] -= ((src[0] + src[2] + c1) >> 1); // high pass
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src[0] += ((src[1] + c1) >> 1); // low pass
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// middle part
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for (; i < width-1; i += 2) {
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src[i] -= ((src[i-1] + src[i+1] + c1) >> 1); // high pass
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src[i-1] += ((src[i-2] + src[i] + c2) >> 2); // low pass
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}
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// right border handling
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if (width & 1) {
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src[i-1] += ((src[i-2] + c1) >> 1); // low pass
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} else {
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src[i] -= src[i-1]; // high pass
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src[i-1] += ((src[i-2] + src[i] + c2) >> 2); // low pass
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}
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}
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}
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/////////////////////////////////////////////////////////////////
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// Copy transformed and interleaved (L,H,L,H,...) rows loRow and hiRow to subbands LL,HL,LH,HH
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void CWaveletTransform::InterleavedToSubbands(int destLevel, DataT* loRow, DataT* hiRow, UINT32 width) {
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const UINT32 wquot = width >> 1;
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const bool wrem = (width & 1);
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CSubband &ll = m_subband[destLevel][LL], &hl = m_subband[destLevel][HL];
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CSubband &lh = m_subband[destLevel][LH], &hh = m_subband[destLevel][HH];
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if (hiRow) {
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for (UINT32 i=0; i < wquot; i++) {
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ll.WriteBuffer(*loRow++); // first access, than increment
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hl.WriteBuffer(*loRow++);
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lh.WriteBuffer(*hiRow++); // first access, than increment
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hh.WriteBuffer(*hiRow++);
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}
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if (wrem) {
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ll.WriteBuffer(*loRow);
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lh.WriteBuffer(*hiRow);
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}
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} else {
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for (UINT32 i=0; i < wquot; i++) {
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ll.WriteBuffer(*loRow++); // first access, than increment
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hl.WriteBuffer(*loRow++);
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}
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if (wrem) ll.WriteBuffer(*loRow);
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}
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}
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//////////////////////////////////////////////////////////////////////////
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// Compute fast inverse wavelet transform of all 4 subbands of given level and
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// stores result in LL subband of level - 1.
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// Inverse wavelet transform used in reading a PGF file
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// Inverse Transform srcLevel and combine to destBand
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// low-pass coefficients at even positions, high-pass coefficients at odd positions
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// inverse filter for even positions: 1/4[-1, (4), -1]
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// inverse filter for odd positions: 1/8[-1, 4, (6), 4, -1]
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// @param srcLevel A wavelet transform pyramid level (> 0 && <= Levels())
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// @param w [out] A pointer to the returned width of subband LL (in pixels)
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// @param h [out] A pointer to the returned height of subband LL (in pixels)
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// @param data [out] A pointer to the returned array of image data
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// @return error in case of a memory allocation problem
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OSError CWaveletTransform::InverseTransform(int srcLevel, UINT32* w, UINT32* h, DataT** data) {
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ASSERT(srcLevel > 0 && srcLevel < m_nLevels);
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const int destLevel = srcLevel - 1;
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ASSERT(m_subband[destLevel]);
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CSubband* destBand = &m_subband[destLevel][LL];
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UINT32 width, height;
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// allocate memory for the results of the inverse transform
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if (!destBand->AllocMemory()) return InsufficientMemory;
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DataT *origin = destBand->GetBuffer(), *row0, *row1, *row2, *row3;
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#ifdef __PGFROISUPPORT__
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PGFRect destROI = destBand->GetAlignedROI();
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const UINT32 destWidth = destROI.Width(); // destination buffer width
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const UINT32 destHeight = destROI.Height(); // destination buffer height
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width = destWidth; // destination working width
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height = destHeight; // destination working height
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// update destination ROI
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if (destROI.top & 1) {
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destROI.top++;
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origin += destWidth;
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height--;
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}
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if (destROI.left & 1) {
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destROI.left++;
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origin++;
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width--;
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}
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// init source buffer position
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const UINT32 leftD = destROI.left >> 1;
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const UINT32 left0 = m_subband[srcLevel][LL].GetAlignedROI().left;
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const UINT32 left1 = m_subband[srcLevel][HL].GetAlignedROI().left;
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const UINT32 topD = destROI.top >> 1;
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const UINT32 top0 = m_subband[srcLevel][LL].GetAlignedROI().top;
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const UINT32 top1 = m_subband[srcLevel][LH].GetAlignedROI().top;
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ASSERT(m_subband[srcLevel][LH].GetAlignedROI().left == left0);
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ASSERT(m_subband[srcLevel][HH].GetAlignedROI().left == left1);
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ASSERT(m_subband[srcLevel][HL].GetAlignedROI().top == top0);
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ASSERT(m_subband[srcLevel][HH].GetAlignedROI().top == top1);
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UINT32 srcOffsetX[2] = { 0, 0 };
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UINT32 srcOffsetY[2] = { 0, 0 };
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if (leftD >= __max(left0, left1)) {
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srcOffsetX[0] = leftD - left0;
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srcOffsetX[1] = leftD - left1;
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} else {
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if (left0 <= left1) {
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const UINT32 dx = (left1 - leftD) << 1;
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destROI.left += dx;
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origin += dx;
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width -= dx;
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srcOffsetX[0] = left1 - left0;
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} else {
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const UINT32 dx = (left0 - leftD) << 1;
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destROI.left += dx;
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origin += dx;
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width -= dx;
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srcOffsetX[1] = left0 - left1;
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}
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}
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if (topD >= __max(top0, top1)) {
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srcOffsetY[0] = topD - top0;
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srcOffsetY[1] = topD - top1;
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} else {
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if (top0 <= top1) {
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const UINT32 dy = (top1 - topD) << 1;
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destROI.top += dy;
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origin += dy*destWidth;
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height -= dy;
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srcOffsetY[0] = top1 - top0;
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} else {
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const UINT32 dy = (top0 - topD) << 1;
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destROI.top += dy;
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origin += dy*destWidth;
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height -= dy;
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srcOffsetY[1] = top0 - top1;
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}
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}
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m_subband[srcLevel][LL].InitBuffPos(srcOffsetX[0], srcOffsetY[0]);
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m_subband[srcLevel][HL].InitBuffPos(srcOffsetX[1], srcOffsetY[0]);
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m_subband[srcLevel][LH].InitBuffPos(srcOffsetX[0], srcOffsetY[1]);
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m_subband[srcLevel][HH].InitBuffPos(srcOffsetX[1], srcOffsetY[1]);
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#else
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width = destBand->GetWidth();
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height = destBand->GetHeight();
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PGFRect destROI(0, 0, width, height);
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const UINT32 destWidth = width; // destination buffer width
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const UINT32 destHeight = height; // destination buffer height
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// init source buffer position
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for (int i = 0; i < NSubbands; i++) {
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m_subband[srcLevel][i].InitBuffPos();
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}
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#endif
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if (destHeight >= FilterSize) { // changed from FilterSizeH to FilterSize
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// top border handling
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row0 = origin; row1 = row0 + destWidth;
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SubbandsToInterleaved(srcLevel, row0, row1, width);
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for (UINT32 k = 0; k < width; k++) {
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row0[k] -= ((row1[k] + c1) >> 1); // even
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}
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// middle part
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row2 = row1 + destWidth; row3 = row2 + destWidth;
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for (UINT32 i = destROI.top + 2; i < destROI.bottom - 1; i += 2) {
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SubbandsToInterleaved(srcLevel, row2, row3, width);
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for (UINT32 k = 0; k < width; k++) {
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row2[k] -= ((row1[k] + row3[k] + c2) >> 2); // even
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row1[k] += ((row0[k] + row2[k] + c1) >> 1); // odd
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}
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InverseRow(row0, width);
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InverseRow(row1, width);
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row0 = row2; row1 = row3; row2 = row1 + destWidth; row3 = row2 + destWidth;
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}
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// bottom border handling
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if (height & 1) {
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SubbandsToInterleaved(srcLevel, row2, nullptr, width);
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for (UINT32 k = 0; k < width; k++) {
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row2[k] -= ((row1[k] + c1) >> 1); // even
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row1[k] += ((row0[k] + row2[k] + c1) >> 1); // odd
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}
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InverseRow(row0, width);
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InverseRow(row1, width);
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InverseRow(row2, width);
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row0 = row1; row1 = row2; row2 += destWidth;
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} else {
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for (UINT32 k = 0; k < width; k++) {
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row1[k] += row0[k];
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}
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InverseRow(row0, width);
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InverseRow(row1, width);
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row0 = row1; row1 += destWidth;
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}
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} else {
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// height is too small
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row0 = origin; row1 = row0 + destWidth;
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// first part
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for (UINT32 k = 0; k < height; k += 2) {
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SubbandsToInterleaved(srcLevel, row0, row1, width);
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InverseRow(row0, width);
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InverseRow(row1, width);
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row0 += destWidth << 1; row1 += destWidth << 1;
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}
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// bottom
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if (height & 1) {
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SubbandsToInterleaved(srcLevel, row0, nullptr, width);
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InverseRow(row0, width);
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}
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}
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// free memory of the current srcLevel
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for (int i = 0; i < NSubbands; i++) {
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m_subband[srcLevel][i].FreeMemory();
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}
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// return info
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*w = destWidth;
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*h = destHeight;
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*data = destBand->GetBuffer();
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return NoError;
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}
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//////////////////////////////////////////////////////////////////////
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// Inverse Wavelet Transform of one row
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// low-pass coefficients at even positions, high-pass coefficients at odd positions
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// inverse filter for even positions: 1/4[-1, (4), -1]
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// inverse filter for odd positions: 1/8[-1, 4, (6), 4, -1]
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void CWaveletTransform::InverseRow(DataT* dest, UINT32 width) {
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if (width >= FilterSize) {
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UINT32 i = 2;
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// left border handling
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dest[0] -= ((dest[1] + c1) >> 1); // even
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// middle part
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for (; i < width - 1; i += 2) {
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dest[i] -= ((dest[i-1] + dest[i+1] + c2) >> 2); // even
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dest[i-1] += ((dest[i-2] + dest[i] + c1) >> 1); // odd
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}
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// right border handling
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if (width & 1) {
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dest[i] -= ((dest[i-1] + c1) >> 1); // even
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dest[i-1] += ((dest[i-2] + dest[i] + c1) >> 1); // odd
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} else {
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dest[i-1] += dest[i-2]; // odd
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}
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}
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}
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///////////////////////////////////////////////////////////////////
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// Copy transformed coefficients from subbands LL,HL,LH,HH to interleaved format (L,H,L,H,...)
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void CWaveletTransform::SubbandsToInterleaved(int srcLevel, DataT* loRow, DataT* hiRow, UINT32 width) {
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const UINT32 wquot = width >> 1;
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const bool wrem = (width & 1);
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CSubband &ll = m_subband[srcLevel][LL], &hl = m_subband[srcLevel][HL];
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CSubband &lh = m_subband[srcLevel][LH], &hh = m_subband[srcLevel][HH];
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if (hiRow) {
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#ifdef __PGFROISUPPORT__
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const bool storePos = wquot < ll.BufferWidth();
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UINT32 llPos = 0, hlPos = 0, lhPos = 0, hhPos = 0;
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if (storePos) {
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// save current src buffer positions
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llPos = ll.GetBuffPos();
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hlPos = hl.GetBuffPos();
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lhPos = lh.GetBuffPos();
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hhPos = hh.GetBuffPos();
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}
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#endif
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for (UINT32 i=0; i < wquot; i++) {
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*loRow++ = ll.ReadBuffer();// first access, than increment
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*loRow++ = hl.ReadBuffer();// first access, than increment
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*hiRow++ = lh.ReadBuffer();// first access, than increment
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*hiRow++ = hh.ReadBuffer();// first access, than increment
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}
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if (wrem) {
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*loRow++ = ll.ReadBuffer();// first access, than increment
|
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*hiRow++ = lh.ReadBuffer();// first access, than increment
|
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}
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|
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#ifdef __PGFROISUPPORT__
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if (storePos) {
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// increment src buffer positions
|
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ll.IncBuffRow(llPos);
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hl.IncBuffRow(hlPos);
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lh.IncBuffRow(lhPos);
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hh.IncBuffRow(hhPos);
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}
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#endif
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|
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} else {
|
|
#ifdef __PGFROISUPPORT__
|
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const bool storePos = wquot < ll.BufferWidth();
|
|
UINT32 llPos = 0, hlPos = 0;
|
|
|
|
if (storePos) {
|
|
// save current src buffer positions
|
|
llPos = ll.GetBuffPos();
|
|
hlPos = hl.GetBuffPos();
|
|
}
|
|
#endif
|
|
|
|
for (UINT32 i=0; i < wquot; i++) {
|
|
*loRow++ = ll.ReadBuffer();// first access, than increment
|
|
*loRow++ = hl.ReadBuffer();// first access, than increment
|
|
}
|
|
if (wrem) *loRow++ = ll.ReadBuffer();
|
|
|
|
#ifdef __PGFROISUPPORT__
|
|
if (storePos) {
|
|
// increment src buffer positions
|
|
ll.IncBuffRow(llPos);
|
|
hl.IncBuffRow(hlPos);
|
|
}
|
|
#endif
|
|
}
|
|
}
|
|
|
|
#ifdef __PGFROISUPPORT__
|
|
//////////////////////////////////////////////////////////////////////
|
|
/// Compute and store ROIs for nLevels
|
|
/// @param roi rectangular region of interest at level 0
|
|
void CWaveletTransform::SetROI(PGFRect roi) {
|
|
const UINT32 delta = (FilterSize >> 1) << m_nLevels;
|
|
|
|
// create tile indices
|
|
delete[] m_indices;
|
|
m_indices = new PGFRect[m_nLevels];
|
|
|
|
// enlarge rect: add margin
|
|
roi.left = (roi.left > delta) ? roi.left - delta : 0;
|
|
roi.top = (roi.top > delta) ? roi.top - delta : 0;
|
|
roi.right += delta;
|
|
roi.bottom += delta;
|
|
|
|
for (int l = 0; l < m_nLevels; l++) {
|
|
PGFRect alignedROI;
|
|
PGFRect& indices = m_indices[l];
|
|
UINT32 nTiles = GetNofTiles(l);
|
|
CSubband& subband = m_subband[l][LL];
|
|
|
|
// use roi to determine the necessary tile indices (for all subbands the same) and aligned ROI for LL subband
|
|
subband.SetNTiles(nTiles); // must be called before TileIndex()
|
|
subband.TileIndex(true, roi.left, roi.top, indices.left, indices.top, alignedROI.left, alignedROI.top);
|
|
subband.TileIndex(false, roi.right, roi.bottom, indices.right, indices.bottom, alignedROI.right, alignedROI.bottom);
|
|
subband.SetAlignedROI(alignedROI);
|
|
ASSERT(l == 0 ||
|
|
(m_indices[l-1].left >= 2*m_indices[l].left &&
|
|
m_indices[l-1].top >= 2*m_indices[l].top &&
|
|
m_indices[l-1].right <= 2*m_indices[l].right &&
|
|
m_indices[l-1].bottom <= 2*m_indices[l].bottom));
|
|
|
|
// determine aligned ROI of other three subbands
|
|
PGFRect aroi;
|
|
UINT32 w, h;
|
|
for (int b = 1; b < NSubbands; b++) {
|
|
CSubband& sb = m_subband[l][b];
|
|
sb.SetNTiles(nTiles); // must be called before TilePosition()
|
|
sb.TilePosition(indices.left, indices.top, aroi.left, aroi.top, w, h);
|
|
sb.TilePosition(indices.right - 1, indices.bottom - 1, aroi.right, aroi.bottom, w, h);
|
|
aroi.right += w;
|
|
aroi.bottom += h;
|
|
sb.SetAlignedROI(aroi);
|
|
}
|
|
|
|
// use aligned ROI of LL subband for next level
|
|
roi.left = alignedROI.left >> 1;
|
|
roi.top = alignedROI.top >> 1;
|
|
roi.right = (alignedROI.right + 1) >> 1;
|
|
roi.bottom = (alignedROI.bottom + 1) >> 1;
|
|
}
|
|
}
|
|
|
|
#endif // __PGFROISUPPORT__
|