MA4553 - A Mathematical Introduction to Image Processing and Analysis, with Some Surprising Applications | ||||||||
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| * The offering term is subject to change without prior notice | ||||||||
Course Aims | ||||||||
The course introduces to digital images, their mathematical structure, and to the mathematical theories that explain how images are perceived and how they can be automatically analysed and modified. The course will use and present in self-contained way mathematical tools such as basic Fourier analysis, a few classic linear partial differential equations, and discrete probability. Their presentation, being specific of images, will be self-contained. Each lecture of the course ends up in a description of a practical powerful algorithm to process images. We start with the question of linking by Fourier analysis the discrete object (the digital image) to its continuous representation, that enables the use of mathematical operators. We continue with the theory and algorithms for image resampling, color and contrast manipulation, image retouching. Then the theory for invariant image representation, shape recognition, and automatic image comparison. The students will be invited to practice these algorithms by themselves on their own images. | ||||||||
Assessment (Indicative only, please check the detailed course information) | ||||||||
Continuous Assessment: 40% | ||||||||
Examination: 60% | ||||||||
Examination Duration: 2 hours | ||||||||
For a student to pass the course, at least 30% of the maximum mark for the examination must be obtained. | ||||||||
Detailed Course Information | ||||||||
| MA4553.pdf | ||||||||
