Abstract
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.
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© 1996 Springer Science+Business Media Dordrecht
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Eberly, D. (1996). Ridges of Functions Defined on Manifolds. In: Ridges in Image and Data Analysis. Computational Imaging and Vision, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8765-5_5
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DOI: https://doi.org/10.1007/978-94-015-8765-5_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4761-8
Online ISBN: 978-94-015-8765-5
eBook Packages: Springer Book Archive