Create a 2D Gaussian Distribution along a line?

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I am trying to create something like a 2D gaussian distribution, but along a line or a curve instead of from a single point. Is there a name for such a thing?
Ideally the result would look something like this:
Thanks for any help!

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Image Analyst
Image Analyst il 12 Giu 2013
You can use fspecial() to create a Gaussian kernel, then use conv2() to blur the line/curve/path in a Gaussian shape using your kernel. I'd call that process convolution. You can also use imfilter().

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