| TSBB25 | Multidimensionell Signal Analysis, 3,8 ECTS-points /Multidimensionell signalanalys/ Advancement level: D | |
| Aim: Providing basic knowledge in multidimensional signal analysis, in particular of images, image sequences and volumes. Expanding existing knowledge of theories for one-dimensional signals and filters to two and multiple dimensions.Prerequisites: General knowledge of the Fourier transform and its properties for functions for one variable, as well as of signal theory, e.g. filtering, convolution, and correlation. Basic linear algebra.Supplementary courses: TSBB 02 Computer Vision TSBB 40 Classification, learning and neural netsCourse organization: The course is divided into two parts; theory and laborations. The theory part is covered during the lectures. The theory is then concretized in terms of exercises at the lessons, which also contain preparatory exercises related to the laborations. The computer based laborations present examples of how the theory works in practice. The course also contains a number of optional computer exercises as a complement to the lessons. Course content: Lectures - Signal spaces and signal bases - Multidimensionell Fourier Analysis - Sampling and discrete signals - Wavelets and frames - Filter design and filter optimization - Normalized convolution Lesson sessions - Exercises - Preparations for laborations Laborations - Filter optimization - Frames, Bases, Subspaces and Normalized Convolution - The wavelet transformCourse literature: Granlund & Knutsson: "Signal Processing for Computer Vision", Kluwer Academic Publishers, ISBN 0-7923-9530-1. Görand Tengstrand: Wavelet-transformering för bildkodning. A collection of exercises. Manuals for the laborations. | ||
| UPG1 | , 1,5 p. | |
| UPG2 | , 1,5 p. | |