How to convolve an image with a 2D function and plot the result
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Hi, I have a bar phantom image attached that I want to convolve with the 2d function h1(x,y)=e^(-5x^2-5y^2). I'm not very familiar with Matlab or similar programs so bear with me.
I have created and plotted the function h1 using the following code:
x = [-1: .01: 1];
y = [-1: .01: 1];
[x_,y_] = meshgrid(x,y);
h1_ = exp((-5.*x_.^2)-(5.*y_.^2));
surf(x_,y_,h1_)
I then inserted the bar phantom image into Matlab using:
I = imread('bar phantom1.png');
From here I'm stuck and I've tried a number of things unsuccessfully. I've tried:
H1_ = abs(fft2(h1_));
I1 = abs(fft2(I));
g = ifft2(H1_.*I1);
And get the error: Array dimensions must match for binary array op.
I tried changing the dimensions of my x and y variables to match the dimensions of my image but the result g is a blank white image.
I also played tried to avoid using fft2 using imfilter, double, and conv2 but only got all white or black resulting images. Any help would be greatly appreciated.
采纳的回答
Image Analyst
2018-10-14
Try this:
kernel = h1_ / sum(h1_(:));
filteredImage = conv2(double(I), kernel, 'same');
imshow(filteredImage, []);
3 个评论
David Okeson
2018-10-14
Image Analyst
2018-10-14
For a color image, you can use imfilter() or split the color image into individual color channels and process each one at a time:
% Extract the individual red, green, and blue color channels.
redChannel = rgbImage(:, :, 1);
greenChannel = rgbImage(:, :, 2);
blueChannel = rgbImage(:, :, 3);
filteredImageR = conv2(double(redChannel), kernel, 'same');
filteredImageG = conv2(double(greenChannel), kernel, 'same');
filteredImageB = conv2(double(blueChannel), kernel, 'same');
Sunil Vyas
2022-7-21
Thanks
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