Abstract
We now take a closer look at the definition for local extrema of a function f ∈ C2(ℝn, ℝ). Ridges will be a generalization of local maxima whereby the test for maximality of f(x) is made in a restricted neighborhood of x. A similar concept of courses generalizes local minima, but since local minima of f are local maxima of —f, it is sufficient to study only the concept of ridge.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Eberly, D. (1996). Ridges in Euclidean Geometry. 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_3
Download citation
DOI: https://doi.org/10.1007/978-94-015-8765-5_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4761-8
Online ISBN: 978-94-015-8765-5
eBook Packages: Springer Book Archive