| TSBB30 | Multidimensionell Signal Analysis, 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.Course organization: The course is divided into two parts; theory and laborations. The theory part is covered during the lectures. Using computers, the lesson sessions are used to investigate properties of filters, the effects of filtering in both the spatial and the frequency domain, as well as to design of various filters.Course content: Lectures - Signal spaces and signal bases - Multidimensionell Fourier Analys - Wavelets - Frames - Filter design and filter optimization - Normalized convolution Lesson sessions - Exercises of Fourier transforms in multiple dimensions - Preparations for laborations Laborations - Visualization of 2D Fourier transforms - Filter optimization - Frames, Bases, Subspaces and Normalized ConvolutionCourse literature: Granlund & Knutsson: Signal Processing for Computer Vision Görand Tengstrand: Wavelet-transformering för bildkodning A collection of exercises Manuals for the laborations | ||
| LAB 1 | Labratory work | |
| TEN 1 | Written examination | |