Ridges in Image and Data Analysis

Inbunden, Engelska, 1996

AvD. Eberly,David Eberly

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This text provides a thorough development of ridges and their application to image and data analysis. It is self-contained by including a chapter on the necessary mathematical background, chapters on the formal ridge definitions in any geometric setting, and a chapter on the numerical implementation. An applications chapter covers three separate topics: medical image analysis, molecular modeling, and analysis of fluid flow.

Produktinformation

Utgivningsdatum1996-09-30
Mått210 x 297 x 18 mm
Vikt518 g
FormatInbunden
SpråkEngelska
SerieComputational Imaging and Vision
Antal sidor215
Upplaga1996
FörlagKluwer Academic Publishers
ISBN9780792342687

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1 Introduction.- 1.1 A History of Ridges.- 1.2 Reading Strategies.- 2 Mathematical Preliminaries.- 2.1 Linear Algebra.- 2.2 Differential Calculus.- 2.3 Tensors.- 3 Ridges in Euclidean Geometry.- 3.1 Generalized Local Extrema.- 3.2 Height Ridge Definition.- 3.3 1-Dimensional Ridges in ?2.- 3.4 1-Dimensional Ridges in ?3.- 3.5 1-Dimensional Ridges in ?n.- 3.6 2-Dimensional Ridges in ?3.- 3.7 2-Dimensional Ridges in ?4.- 3.8 d-Dimensional Ridges in ?n.- 4 Ridges in Riemannian Geometry.- 4.1 Generalized Local Extrema.- 4.2 Height Ridge Definition.- 4.3 1-Dimensional Ridges in ?2.- 4.4 1-Dimensional Ridges in ?3.- 4.5 1-Dimensional Ridges in ?n.- 4.6 2-Dimensional Ridges in ?3.- 4.7 2-Dimensional Ridges in ?4.- 4.8 d-Dimensional Ridges in ?n.- 5 Ridges of Functions Defined on Manifolds.- 5.1 Height Ridge Definition.- 5.2 Maximal Curvature Ridge Definitions.- 6 Applications to Image and Data Analysis.- 6.1 Medical Image Analysis.- 6.2 Molecular Modeling.- 6.3 Fluid Flow.- 7 Implementation Issues.- 7.1 Bridging the Gap Between Theory and Practice.- 7.2 B-spline Interpolation.- 7.3 Eigensystem Solvers.- 7.4 Ridge Construction.