Mathematical Imaging
Mathematical Imaging (or Image Processing) is a very broad field: it encompasses three main disciplines: Image Compression, Restoration and Image Analysis. Each of these disciplines are big fields on their own—for instance, within Restoration we have different problems (noise reduction, intensity adjustment, inpainting, sharpening, deblurring, correction of local distorsions…) and different techniques (based on PDEs, handling of coefficients in different frames, variational techniques, etc). In the following pages we will explore some basic ideas and show some examples to illustrate how different branches of Mathematics can help you accomplish these tasks.
  The Image Processing Handbook, Sixth Edition
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