Applied MathematicsLaajuus (5 ECTS)

Objective

After completing the course the student will know how to model simple real problems in engineering, and how to use a computer to solve them. Will know different ways to represent results of technical activity visually. Will know methods of how to analyse and enhance signals in spatial and in frequency domains. Will know what kind of information is related to a signal in frequency domain.
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After completing the course the student will be able to model simple real problems,and use a computer to solve them and visualize the results. Will be able to enhance signals in spatial and in frequency domains by a computer. Will be able to carry out colour image processing by a computer.

Content

-Starting Project: Computer Mathematics in solving real problems in engineering
-Image Processing: Digital image; spatial domain methods: histograms, mapping functions, nearest neighbour methods, interpolation, gradient; frequency domain methods: sampling principles, amplitude and phase spectrum, filtering; image enhancement
-Use of MATLAB in solving real problems

•Colour image processing: colour systems; enhancing colour images
•Data compression