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Geometry-Driven Diffusion in Computer Vision : Computational Imaging and Vision - Bart M. Haar Romeny

Geometry-Driven Diffusion in Computer Vision

Computational Imaging and Vision

By: Bart M. Haar Romeny (Editor)

Hardcover Published: 30th September 1994
ISBN: 9780792330875
Number Of Pages: 442

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Scale is a concept the antiquity of which can hardly be traced. Certainly the familiar phenomena that accompany sc ale changes in optical patterns are mentioned in the earliest written records. The most obvious topological changes such as the creation or annihilation of details have been a topic to philosophers, artists and later scientists. This appears to of fascination be the case for all cultures from which extensive written records exist. For th instance, chinese 17 c artist manuals remark that "distant faces have no eyes" . The merging of details is also obvious to many authors, e. g. , Lucretius mentions the fact that distant islands look like a single one. The one topo­ logical event that is (to the best of my knowledge) mentioned only late (by th John Ruskin in his "Elements of drawing" of the mid 19 c) is the splitting of a blob on blurring. The change of images on a gradual increase of resolu­ tion has been a recurring theme in the arts (e. g. , the poetic description of the distant armada in Calderon's The Constant Prince) and this "mystery" (as Ruskin calls it) is constantly exploited by painters.

Linear Scale-Space I: Basic Theoryp. 1
Linear Scale-Space II: Early Visual Operationsp. 39
Anisotropic Diffusionp. 73
Vector-Valued Diffusionp. 93
Bayesian Rationale for the Variational Formulationp. 135
Variational Problems with a Free Discontinuity Setp. 147
Minimization of Energy Functional with Curve-Represented Edgesp. 155
Approximation, Computation, and Distortion in the Variational Formulationp. 169
Coupled Geometry-Driven Diffusion Equations for Low-Level Visionp. 191
Morphological Approach to Multiscale Analysis: From Principles to Equationsp. 229
Differential Invariant Signatures and Flows in Computer Vision: A Symmetry Group Approachp. 255
On Optimal Control Methods in Computer Vision and Image Processingp. 307
Nonlinear Scale-Spacep. 339
A Differential Geometric Approach to Anisotropic Diffusionp. 371
Numerical Analysis of Geometry-Driven Diffusion Equationsp. 393
Bibliographyp. 411
Indexp. 429
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792330875
ISBN-10: 0792330870
Series: Computational Imaging and Vision
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 442
Published: 30th September 1994
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.11 x 17.63  x 3.12
Weight (kg): 0.78

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