叶子 发表于 2025-3-21 19:58:45

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惰性气体 发表于 2025-3-21 23:20:16

Unions of Sets with Positive Reach,sions: the polyconvex sets and the piecewise smooth submanifolds, respectively. Therefore the natural question arises whether we can consider unions of sets with positive reach under the above aspects.

影响深远 发表于 2025-3-22 01:15:51

Integral Geometric Formulas,tions. A classical and comprehensive reference to integral-geometric relations is the book of Santaló [.]. In this chapter we derive integral-geometric formulas concerning curvature measures and their total values (total curvatures or intrinsic volumes). This is, in particular, the Principal kinemat

Enthralling 发表于 2025-3-22 05:31:05

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乏味 发表于 2025-3-22 11:31:42

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.

frugal 发表于 2025-3-22 15:49:34

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.

frugal 发表于 2025-3-22 18:55:25

Integral Geometric Formulas,ic formula expressing the curvature measures of the intersection of two bodies, one of them fixed and the other moving, in terms of those of the primary bodies. Similarly, the Crofton formula deals with the curvature measures of flat sections of a body, integrated with respect to the invariant measure over the sectioning flats.

痴呆 发表于 2025-3-23 00:34:19

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疲劳 发表于 2025-3-23 04:42:37

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abracadabra 发表于 2025-3-23 05:43:21

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查看完整版本: Titlebook: Curvature Measures of Singular Sets; Jan Rataj,Martina Zähle Book 2019 Springer Nature Switzerland AG 2019 Curvature Measure.Gauss-Bonnet