How can mathematical models be applied to image analysis

Question

I'm quite interested in how mathematical models can be used in analysing images. For example, I'm aware that mixed effect models can be using in image analysis but I was just wondering if there are any other branches of mathematics that lend themselves to image analysis? I know about Fourier transforms too in image analysis. I hope the question isn't too broad.

Answer 1

• Linear algebra
• Functional analysis
• Convex analysis / optimization
• Statistics
• Morphological analysis
• etc., etc.

You can take a tour on Gabriel Peyre's Numerical tours, and see how these branches are beautifully inter-woven.

Answer 2

if you want to work in digital framework, i think topics like compressed sensing is state-of-art which can be supported by optimization problems.

Answer 3

Google these terms: Wavelets Curvelets Mumford-Shah Deblurring Deconvolution