الفهرس 
Introduction
History of RidgesOnly 14 pages are availabe for public view
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Abstract
The concept of ridge as a manifold of critical points is a natural extension of the concept of local maximum as an isolated critical points. Ridges are extremal curves of principal curvatures on a surface that indicate salient intrinsic features of its shape. Most of the existing approaches for ridge extraction address only crests, a certain subset of the ridges on a surface. There is a need for an expansion, development and understanding the computation issues that arise in the implementations.
This thesis presents a novel approach for extracting ridges and height-ridges directly from smooth representations such as algebraic functions of surfaces or as images (data sets). The approach presented in this thesis enables extraction of all types of generic ridges on surfaces and images (data sets). The purpose of this thesis is to address both needs by providing a formal mathematical foundation and a computational framework to ridges and height-ridges, and then present some algorithms to the height-ridges extraction from images in different dimensions.