SCORE
发表于 2025-3-26 22:57:03
https://doi.org/10.1057/978-1-137-54060-7In this chapter we will give a brief introduction to certain fractal versions of Lipschitz-Killing curvature measures. We present only some of the proofs giving insight into certain techniques which are applied in this and different fields. For the other proofs we refer to the literature.
Ophthalmologist
发表于 2025-3-27 04:58:17
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fiscal
发表于 2025-3-27 08:57:29
Sets with Positive Reach,The metric projection to a set . is not determined everywhere unless . is convex and closed. Sets with positive reach are sets with the property that the metric projection is defined on some open neighbourhood of ..
ATRIA
发表于 2025-3-27 11:36:08
Fractal Versions of Curvatures,In this chapter we will give a brief introduction to certain fractal versions of Lipschitz-Killing curvature measures. We present only some of the proofs giving insight into certain techniques which are applied in this and different fields. For the other proofs we refer to the literature.
无辜
发表于 2025-3-27 17:40:33
Background from Geometric Measure Theory, and results from this chapter can be found in the Federer’s book [.] and/or in the book of Krantz and Parks [.]. Other sources will be cited when needed. Most of these results are presented without proofs.
CARK
发表于 2025-3-27 20:06:06
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说不出
发表于 2025-3-28 01:03:18
Characterization Theorems,ir geometric importance. Recall that a well-known result of Hadwiger (Theorem .) states that any motion invariant continuous valuation on the space of compact convex sets is a linear combination of Minkowski’s quermasssintegrals.
fabricate
发表于 2025-3-28 06:00:15
Extensions of Curvature Measures to Larger Set Classes,ive reach). This setting is still not satisfactory since it does not encompass some natural set classes as closures of complements to convex bodies, or boundaries of convex bodies, though these sets should apparently admit a natural definition of curvatures.
灵敏
发表于 2025-3-28 06:33:36
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ULCER
发表于 2025-3-28 14:29:16
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