Group-Theoretical Methods in Image Understanding
By: by Kenichi Kanatani
Series: Springer Series in Information Science -- 20; Springer Series in Information Science -- 20
Publisher: Springer Berlin Heidelberg
Published: 1990
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 459
ISBN-13: 9783642647727; 9783642612756
Subjects: Computer vision; Mathematical physics; Physics
Description: This book presents the mathematics relevant to image understanding by computer vision and gives examples of actual applications. Group representation theory, Lie groups and Lie algebras, the theory of invariance, tensor calculus, differential geometry and projective geometry are used for three-dimensional shape and motion analysis from images, making use of techniques such as shape from motion, shape from texture, shape from angle and shape from surface. Although the mathematics itself may be well known to mathematicians, people working in areas related to computer science, image understanding, computer vision and image processing have usually never studied such mathematics, and so may be surprised to learn that abstract mathematical concepts can be of enormous help in building intelligent computer vision systems.
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