Numerical analysis of geometry-driven diffusion equations

W.J. Niessen, B.M. Haar Romenij, ter, M.A. Viergever

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Abstract

This seminal book is a primer on geometry-driven, nonlinear diffusion as a promising new paradigm for vision, with an emphasis on the tutorial. It gives a thorough overview of current linear and nonlinear scale-space theory, presenting many viewpoints such as the variational approach, curve evolution and nonlinear diffusion equations. The book is meant for computer vision scientists and students, with a computer science, mathematics or physics background. Appendices explain the terminology. Many illustrated applications are given, e.g. in medical imaging, vector valued (or coupled) diffusion, general image enhancement (e.g. edge preserving noise suppression) and modeling of the human front-end visual system. Some examples are given to implement the methods in modern computer-algebra systems.
Original languageEnglish
Title of host publicationGeometry-driven diffusion in computer vision
EditorsB.M. Haar Romenij, ter
Place of PublicationDordrecht
PublisherKluwer Academic Publishers
Pages393-410
Number of pages461
ISBN (Print)0-7923-3087-0
Publication statusPublished - 1994

Publication series

NameComputational imaging and vision. CIVI
Volume1
ISSN (Print)1381-6446

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