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Theoretical and Methodological Foundations of Visual Computing
Typ: International Master in Computer Science - Studienprofil VC
Semester: WS 2014/2015
Umfang: 3V+1Ü
Studiengang: Master Informatik
Dozent: Dr. Thomas Müller
Beschreibung:


The course will be managed via ILIAS.

The first lecture will be on Monday, 2014-10-13

Description

In detail:

  • Affine and projective geometry: affine space, affine mapping, orthographic and perspective projection, homogeneous coordinates, graphics pipeline
  • Differential and integral calculus: partial derivative, gradient, extrema, numerical derivative, edge detection, Taylor expansion, ... in two and three dimensions
  • Ordinary and partial differential equation: existence and uniqueness, autonomous systems, vector fields, integral curves, numerical methods
  • Interpolation and approximation: Lagrange interpolation, barycentric coordinates, radial basis functions, Shepard, Moving Least Squares, Kriging
  • Fourier analysis: continuous and discrete Fourier transform, frequency and phase spectrum, Gibbs, convolution, sampling theorem, discrete filters, applications in image processing
  • Wavelet transformation: Haar- and Daubechies wavelets, multiresolution analysis, denoising,
  • Introduction to Matlab

Literature

  • B. Jähne. Digital Image Processing and Image Formation. Springer
  • H. R. Schwarz, N. Köckler. Numerische Mathematik. 6. Auflage, Teubner, 2006
  • J. S. Walker. A primer on WAVELETS and Their Scientific Applications. Chapman & Hall/CRC, 2008
  • M. Oberguggenberger, A. Ostermann. Analysis für Informatiker. Springer, 2009
  • J. Encarnação, W. Straßer, R. Klein. Graphische Datenverarbeitung 1. Oldenburg Verlag, 1996
Bilder:
Internet-Seite:
Termine: Montag, 11:30 - 13:00 Uhr in V38.02
Donnerstag, 11:30 - 12:15 Uhr in V38.02
Übungen: Donnerstag, 12:15 - 13:00 Uhr in V38.02
Tutor: Dr. Sebastian Boblest
Dipl.-Inf. Markus Huber
Dipl.-Inf. Katrin Scharnowski

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