Numerical Geometry of Images: Theory, Algorithms, and Applications

by Ron Kimmel, M. Bronstein, A. Bronstein

Overview

Numerical Geometry of Images examines computational methods and algorithms in image processing. It explores applications like shape from shading, color-image enhancement and segmentation, edge integration, offset curve computation, symmetry axis computation, path planning, minimal geodesic computation, and invariant signature calculation. In addition, it describes and utilizes tools from mathematical morphology, differential geometry, numerical analysis, and calculus of variations. Graduate students, professionals, and researchers with interests in computational geometry, image processing, computer graphics, and algorithms will find this new text / reference an indispensable source of insight of instruction.

Product Details

ISBN-13:	9781468495355
Publisher:	Springer New York
Publication date:	08/31/2012
Edition description:	Softcover reprint of the original 1st ed. 2004
Pages:	209
Product dimensions:	7.01(w) x 10.00(h) x 0.02(d)

Table of Contents

* Short introduction to calculus of variations * Short introduction to differential geometry * Curve evolution theory and invariant signatures * The Osher-Sethian level-set method * The level-set method: numerical considerations * Mathematical morphology * Distance maps and skeletons * Fast marching methods * 2D and 3D image segmentation * Geometric framework in image processing

Editorial Reviews

From the reviews:

"After a brief introduction to differential geometry the book covers computational methods and algorithms in image processing and image analysis. … The author presents classic approaches as well as new solutions … . It would certainly be beneficial for the presumptive reader to be able to rely on a sound background in geometry, linear algebra and calculus." (Anton Gfrerrer, Zentralblatt MATH, Vol. 1049, 2004)

From the Publisher