Binary operations
Morphological filters, erosion, dilation, opening, closing

Color spaces
Trichromacy, red-green-blue color spaces, color representation using hue, saturation and value of intensity

Multidimensional signals and systems
Theory of multidimensional signals and systems, impulse response, linear image filtering, power spectrum, Wiener filtering

Interpolation of image signals
Bi-linear interpolation, bi-cubic interpolation, spline interpolation

Image feature detection
Image features, edge detection, Hough transform, Harris corner detector, texture features, co-occurrence matrix

Scale space representation
Laplacian of Gaussian, difference of Gaussian, scale invariant feature transform, speeded-up robust feature transform

Image matching
Projective transforms, block matching, optical flow, feature-based matching using SIFT and SURF, random sample consensus algorithm

Image segmentation
Amplitude thresholding, k-means clustering, Bayes classification, region-based segmentation, combined segmentation and motion estimation, temporal segmentation of video

Transform domain image processing
Unitary transform, Karhunen-Loeve transform, separable transform, Haar and Hadamard transform, DFT, DCT

Title:

Image, Video, and Multidimensional Signal Processing

Credits: 5

Prerequisites

Prerequisite: Lecture "Signals & Systems I+II"
At the first visit, access to the StudOn course has to be requested via the link https://www.studon.fau.de/studon/goto.php?target=crs_2002842 and will be granted by the course assistant.

Contents

Point operations
Histogram equalization, gamma correction

Binary operations
Morphological filters, erosion, dilation, opening, closing

Color spaces
Trichromacy, red-green-blue color spaces, color representation using hue, saturation and value of intensity

Multidimensional signals and systems
Theory of multidimensional signals and systems, impulse response, linear image filtering, power spectrum, Wiener filtering

Interpolation of image signals
Bi-linear interpolation, bi-cubic interpolation, spline interpolation

Image feature detection
Image features, edge detection, Hough transform, Harris corner detector, texture features, co-occurrence matrix

Scale space representation
Laplacian of Gaussian, difference of Gaussian, scale invariant feature transform, speeded-up robust feature transform
Image matching
Projective transforms, block matching, optical flow, feature-based matching using SIFT and SURF, random sample consensus algorithm

Image segmentation
Amplitude thresholding, k-means clustering, Bayes classification, region-based segmentation, combined segmentation and motion estimation, temporal segmentation of video

Transform domain image processing
Unitary transform, Karhunen-Loeve transform, separable transform, Haar and Hadamard transform, DFT, DCT

Literature

J.-R. Ohm: Multimedia Content Analysis, Springer, 2016
J. W. Woods: Multidimensional Signal, Image, and Video Processing and Coding, Academic Press, 2^nd edition, 2012

UE ([online]):Übung zu Bild-, Video- und mehrdimensionaler Signalverarbeitung

Lecturer: Andreas Spruck, M. Sc.
Zeit: Wed 16:15 - 17:45, H8; comments on time and place: The supplement course will be recorded and provided via the FAU video portal. In addition, consulting hours will be offered via Zoom. Further information can be found on StudOn.
www: https://www.studon.fau.de/studon/goto.php?target=crs_2002842