Image similarity is probably a sub-field of image processing/AI.
Be prepared to implement algorithms/formulae from papers if you're looking for an excellent (i.e. performant and scalable) solution.
If you want something quick n dirty, search google for Image Similarity
Here's a C# image similarity app that might do what you want.
Basically, all algorithms extract and compare features. How they define "feature" depends on the math model they're based on.
