// DWT.cpp : 定義控制臺應用程序的入口點。
//
#include "stdafx.h"
#include "cv.h"
#include "highgui.h"
// 二維離散小波變換(單通道浮點圖像)
void DWT(IplImage *pImage, int nLayer)
{
// 執行條件
if (pImage)
{
if (pImage->nChannels == 1 &&
pImage->depth == IPL_DEPTH_32F &&
((pImage->width >> nLayer) << nLayer) == pImage->width &&
((pImage->height >> nLayer) << nLayer) == pImage->height)
{
int i, x, y, n;
float fValue = 0;
float fRadius = sqrt(2.0f);
int nWidth = pImage->width;
int nHeight = pImage->height;
int nHalfW = nWidth / 2;
int nHalfH = nHeight / 2;
float **pData = new float*[pImage->height];
float *pRow = new float[pImage->width];
float *pColumn = new float[pImage->height];
for (i = 0; i < pImage->height; i++)
{
pData[i] = (float*) (pImage->imageData + pImage->widthStep * i);
}
// 多層小波變換
for (n = 0; n < nLayer; n++, nWidth /= 2, nHeight /= 2, nHalfW /= 2, nHalfH /= 2)
{
// 水平變換
for (y = 0; y < nHeight; y++)
{
// 奇偶分離
memcpy(pRow, pData[y], sizeof(float) * nWidth);
for (i = 0; i < nHalfW; i++)
{
x = i * 2;
pData[y][i] = pRow[x];
pData[y][nHalfW + i] = pRow[x + 1];
}
// 提升小波變換
for (i = 0; i < nHalfW - 1; i++)
{
fValue = (pData[y][i] + pData[y][i + 1]) / 2;
pData[y][nHalfW + i] -= fValue;
}
fValue = (pData[y][nHalfW - 1] + pData[y][nHalfW - 2]) / 2;
pData[y][nWidth - 1] -= fValue;
fValue = (pData[y][nHalfW] + pData[y][nHalfW + 1]) / 4;
pData[y][0] += fValue;
for (i = 1; i < nHalfW; i++)
{
fValue = (pData[y][nHalfW + i] + pData[y][nHalfW + i - 1]) / 4;
pData[y][i] += fValue;
}
// 頻帶系數
for (i = 0; i < nHalfW; i++)
{
pData[y][i] *= fRadius;
pData[y][nHalfW + i] /= fRadius;
}
}
// 垂直變換
for (x = 0; x < nWidth; x++)
{
// 奇偶分離
for (i = 0; i < nHalfH; i++)
{
y = i * 2;
pColumn[i] = pData[y][x];
pColumn[nHalfH + i] = pData[y + 1][x];
}
for (i = 0; i < nHeight; i++)
{
pData[i][x] = pColumn[i];
}
// 提升小波變換
for (i = 0; i < nHalfH - 1; i++)
{
fValue = (pData[i][x] + pData[i + 1][x]) / 2;
pData[nHalfH + i][x] -= fValue;
}
fValue = (pData[nHalfH - 1][x] + pData[nHalfH - 2][x]) / 2;
pData[nHeight - 1][x] -= fValue;
fValue = (pData[nHalfH][x] + pData[nHalfH + 1][x]) / 4;
pData[0][x] += fValue;
for (i = 1; i < nHalfH; i++)
{
fValue = (pData[nHalfH + i][x] + pData[nHalfH + i - 1][x]) / 4;
pData[i][x] += fValue;
}
// 頻帶系數
for (i = 0; i < nHalfH; i++)
{
pData[i][x] *= fRadius;
pData[nHalfH + i][x] /= fRadius;
}
}
}
delete[] pData;
delete[] pRow;
delete[] pColumn;
}
}
}
int _tmain(int argc, _TCHAR* argv[])
{
// 小波變換層數
int nLayer = 2;
// 輸入彩色圖像
IplImage *pSrc = cvLoadImage("lena.jpg", 1);
// 計算小波圖象大小,使其width和height都是2的倍數
CvSize size = cvGetSize(pSrc);
if ((pSrc->width >> nLayer) << nLayer != pSrc->width)
{
size.width = ((pSrc->width >> nLayer) + 1) << nLayer;
}
if ((pSrc->height >> nLayer) << nLayer != pSrc->height)
{
size.height = ((pSrc->height >> nLayer) + 1) << nLayer;
}
// 創建小波圖象
IplImage *pWavelet = cvCreateImage(size, IPL_DEPTH_32F, pSrc->nChannels);
if (pWavelet)
{
// 小波圖象賦值
cvSetImageROI(pWavelet, cvRect(0, 0, pSrc->width, pSrc->height));
cvConvertScale(pSrc, pWavelet, 1, -128);//使用線性變換轉換數組:pWavelet = pSrc*1-128
cvResetImageROI(pWavelet);
// 彩色圖像小波變換
IplImage *pImage = cvCreateImage(cvGetSize(pWavelet), IPL_DEPTH_32F, 1);
if (pImage)
{
for (int i = 1; i <= pWavelet->nChannels; i++)
{
cvSetImageCOI(pWavelet, i);//設置感興趣通道channel
cvCopy(pWavelet, pImage, NULL);//pImage為灰度圖像,將pWavelet的每個通道數據copy到pImage中
// 二維離散小波變換
DWT(pImage, nLayer);//對每個通道進行DWT
// 二維離散小波恢復
// IDWT(pImage, nLayer);
cvCopy(pImage, pWavelet, NULL);//將每個通道變換後的數據存入pWavelet的對應通道中
}
cvSetImageCOI(pWavelet, 0);
cvReleaseImage(&pImage);
}
// 小波變換圖象
cvSetImageROI(pWavelet, cvRect(0, 0, pSrc->width, pSrc->height));
cvConvertScale(pWavelet, pSrc, 1, 128);
cvResetImageROI(pWavelet); // 本行代碼有點多余,但有利用養成良好的編程習慣
cvReleaseImage(&pWavelet);
}
// 顯示圖像pSrc
cvNamedWindow("dwt",1);
cvShowImage("dwt",pSrc);
cvWaitKey(0);
cvDestroyWindow("dwt");
// ...
cvReleaseImage(&pSrc);
cvReleaseImage(&pSrc0);
return 0;
}