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How to improve mathematics in digital image processing?
SIFT feature extraction is just a computer algorithm based on Gaussian kernel. It is good to know this mathematical model, what he wants to do and what details he has. Give the calculation to Matlab or opencv.

However, you must master this mathematical model, otherwise you will not understand all the calculation parameters, which will be difficult to use in practical application and will lead to deviation. Mathematics is still needed.

Don't study pure mathematics, don't spend time studying mathematical proofs, don't do mathematical exercises, and don't solve strange problems.

Only understand the general principles of general laws, only care about practical application.

For scientific research, it is much more important to know what problems can be solved and what problems cannot be solved, and what mathematical knowledge can be used for the problems that can be solved.

For example, convex optimization, knowing what functions and constraints can be convex optimization and what functions can be transformed into solvable problems of convex optimization is millions of times more important than how to do convex optimization.

It is enough to grasp the framework and details, and make mathematics a "brainwave" for your scientific research.

As for in-depth research, books can only be read when they are used.

Learning that is not for the purpose of application but purely for the purpose of "laying a good foundation" probably has the following two characteristics:

1. It's easy to get bored and can't learn.

I finally learned it and forgot all about it.

Don't do such a stupid thing, really.

The recommended research route is to master basic mathematical knowledge (subject to knowing the meaning of mathematical terms in the paper), then choose a research direction and read the paper. In the process of reading, if you find that a paper must have a certain mathematical background to understand, then make it up quickly and continue reading. Then you will find that you not only keep up with the pace of research, but also greatly improve your math level and learn something solid.