Reverse convolution

1. What is reverse convolution?
2. Why do we reverse convolution?
3. Are convolutions reversible?
4. What does deconvolution do?

What is reverse convolution?

In mathematics, deconvolution is the operation inverse to convolution. Both operations are used in signal processing and image processing. For example, it may be possible to recover the original signal after a filter (convolution) by using a deconvolution method with a certain degree of accuracy.

Why do we reverse convolution?

But, if the sliding one is reversed, then you'll convolute the present time for both of them correctly. And that's why one function is reversed in convolution.

Are convolutions reversible?

But in general, convolution of functions is almost a ring (there's no exact identity element). The linear space of compactly supported distributions forms an actual ring under convolution, and so it has a group of units. These are distributions whose convolutions are always reversible.

What does deconvolution do?

Deconvolution is a computational method that treats the image as an estimate of the true specimen intensity and using an expression for the point spread function performs the mathematical inverse of the imaging process to obtain an improved estimate of the image intensity.