傅里叶变换中的掩蔽频率
我正在摆弄 OpenCV,并尝试做一些与我在 MatLab 中做过的相同的信号处理工作。我想要屏蔽一些频率,所以我构建了一个矩阵来做到这一点。问题是 OpenCV 中似乎比 Matlab 中多了一些步骤来完成此任务。
在 Matlab 中,这很简单:
F = fft2(image);
smoothF = F .* mask; // multiply FT by mask
smooth = ifft2(smoothF); // do inverse FT
但我在 OpenCV 中做同样的事情时遇到困难。 DFT 留下了一个 2 通道图像,因此我分割了图像,乘以掩模,将其合并回来,然后执行逆 DFT。然而,我的最终图像得到了一个奇怪的结果。我很确定我错过了一些东西......
CvMat* maskImage(CvMat* im, int maskWidth, int maskHeight)
{
CvMat* mask = cvCreateMat(im->rows, im->cols, CV_64FC1);
cvZero(mask);
int cx, cy;
cx = mask->cols/2;
cy = mask->rows/2;
int left_x = cx - maskWidth;
int right_x = cx + maskWidth;
int top_y = cy + maskHeight;
int bottom_y = cy - maskHeight;
//create mask
for(int i = bottom_y; i < top_y; i++)
{
for(int j = left_x; j < right_x; j++)
{
cvmSet(mask,i,j,1.0f); // Set M(i,j)
}
}
cvShiftDFT(mask, mask);
IplImage* maskImage, stub;
maskImage = cvGetImage(mask, &stub);
cvNamedWindow("mask", 0);
cvShowImage("mask", maskImage);
CvMat* real = cvCreateMat(im->rows, im->cols, CV_64FC1);
CvMat* imag = cvCreateMat(im->rows, im->cols, CV_64FC1);
cvSplit(im, imag, real, NULL, NULL);
cvMul(real, mask, real);
cvMul(imag, mask, imag);
cvMerge(real, imag, NULL, NULL, im);
IplImage* maskedImage;
maskedImage = cvGetImage(imag, &stub);
cvNamedWindow("masked", 0);
cvShowImage("masked", maskedImage);
return im;
}
I'm messing around with OpenCV, and am trying to do some of the same stuff signal processing stuff I've done in MatLab. I'm looking to mask out some frequencies, so I have constructed a matrix which will do this. The problem is that there seem to be a few more steps in OpenCV than in Matlab to accomplish this.
In Matlab, it's simple enough:
F = fft2(image);
smoothF = F .* mask; // multiply FT by mask
smooth = ifft2(smoothF); // do inverse FT
But I'm having trouble doing the same in OpenCV. The DFT leaves me with a 2 channel image, so I've split the image, multiplied by the mask, merged it back, and then perform the inverse DFT. However, I got a weird result in my final image. I'm pretty sure I'm missing something...
CvMat* maskImage(CvMat* im, int maskWidth, int maskHeight)
{
CvMat* mask = cvCreateMat(im->rows, im->cols, CV_64FC1);
cvZero(mask);
int cx, cy;
cx = mask->cols/2;
cy = mask->rows/2;
int left_x = cx - maskWidth;
int right_x = cx + maskWidth;
int top_y = cy + maskHeight;
int bottom_y = cy - maskHeight;
//create mask
for(int i = bottom_y; i < top_y; i++)
{
for(int j = left_x; j < right_x; j++)
{
cvmSet(mask,i,j,1.0f); // Set M(i,j)
}
}
cvShiftDFT(mask, mask);
IplImage* maskImage, stub;
maskImage = cvGetImage(mask, &stub);
cvNamedWindow("mask", 0);
cvShowImage("mask", maskImage);
CvMat* real = cvCreateMat(im->rows, im->cols, CV_64FC1);
CvMat* imag = cvCreateMat(im->rows, im->cols, CV_64FC1);
cvSplit(im, imag, real, NULL, NULL);
cvMul(real, mask, real);
cvMul(imag, mask, imag);
cvMerge(real, imag, NULL, NULL, im);
IplImage* maskedImage;
maskedImage = cvGetImage(imag, &stub);
cvNamedWindow("masked", 0);
cvShowImage("masked", maskedImage);
return im;
}
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您有什么理由以相反的顺序合并实部和虚部吗?
Any reason you are merging the real and imaginary components in the reverse order?