# Questions tagged [image-processing]

This tag is for the mathematics involved in the field of image processing. Many such questions are also appropriate for Signal Processing Stack Exchange.

473 questions
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### Recovering original image from its edges

Suppose we read an image $X$ with $1\times P$ dimensions (a single row and $P$ columns) and apply to it the simplest edge detector, that calculates the horizontal derivative say, $F = [1, 0, −1]$ to ...
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### Is there a way to write the convolution form of a derivative?

In image filtering and computer simulations, derivatives can be applied to a image by performing a convolution of the image/data with an appropriate kernel matrix. For example, in 1D this could be \$ ...
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### Histogram equalization - Contrast (gray value) distribution using transforming function

I am looking for some guidance and explanation to be able to solve this exercise. I understand that I have to come up with a function T(x) such that h(x) becomes H(x) and then with a U(x) which ...
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### Calculation of a point coordination from a camera

May you please help me how can I calculate the point A's coordination if the camera is placed in B side (ideal and with a focus distance of 2CM) Please see this image I've tried using the matrix ...
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### How can I solve Image matrix homography?

I have a problem. I couldn't understand this question. I know homography formula. I implemented this formula for zero level of first image pyramid but I couldn't get second image pyramid points at ...
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### log-likelihood applied to classification of image histograms

I have a reference histogram of an 8-bit image, and histograms of multiple test cases for which i'm trying to determine if they belong to the same reference class. If I understand the procedure, for ...
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### How to obtain this equation of hyperspectral image restoration using total variation in the following equation?

While reading the paper "Total-Variation-Regularized Low-Rank Matrix Factorization for Hyperspectral Image Restoration" I came through the following equation. Can someone help me how the last equation ...
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### What is the definition in contrast-invariant?

I came across this "texture analysis" technique in a paper called "Identifying structural complexity in aeromagnetic data: An image analysis approach to greenfields gold exploration" by E. Holden et ...
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### Minimizing Dirichlet energy defined on a open curve

As extension of this question, I was wondering what would be the Euler-Lagrange equations associated with the functional $$E(u) = \frac{1}{2}\int_{\gamma} \lVert \nabla u \rVert^2 ds$$ The ...