TY - CHAP

T1 - Numerical analysis of geometry-driven diffusion equations

AU - Niessen, W.J.

AU - Haar Romenij, ter, B.M.

AU - Viergever, M.A.

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

M3 - Chapter

SN - 0-7923-3087-0

T3 - Computational imaging and vision. CIVI

SP - 393

EP - 410

BT - Geometry-driven diffusion in computer vision

A2 - Haar Romenij, ter, B.M.

PB - Kluwer Academic Publishers

CY - Dordrecht

ER -