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Erschienen in:
1996 | OriginalPaper | Buchkapitel
Ridges of Functions Defined on Manifolds
verfasst von : David Eberly
Erschienen in: Ridges in Image and Data Analysis
Verlag: Springer Netherlands
Enthalten in: Professional Book Archive
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In Section 5.1 we apply the definitions of Chapter 4 to finding height ridges of functions defined on manifolds. The first case is simplest where we construct 1dimensional ridges of a function defined on a 2—dimensional surface embedded in 1R3. The second case is the most general where we construct d—dimensional ridges of a function defined on an n—dimensional manifold embedded in IRP. Section 5.2 provides an alternative definition for ridges based on principal curvatures and principal directions. Section 5.3 discusses a ridge definition which is an application of the definition of Section 5.2 to level sets.