Normal curvatures and Euler classes for polyhedral surfaces in $4$-space

Discrete curvatures and Gauss maps for polyhedral surfaces

The paper concerns the problem of correct curvatures estimates directly from polygonal meshes. We present a new algorithm that allows the construction of unambiguous Gauss maps for a large class of polyhedral surfaces, including surfaces of non-convex objects and even non-manifold surfaces. The resulting Gauss map provides shape recognition and curvature characterisation of the polyhedral surfa...

hyperruled surfaces in minkowski 4-space

in this paper, the time-like hyperruled surfaces in the minkowski 4-space and their algebraicinvariants are worked. also some characteristic results are found about these algebraic invariants.

Light classes of generalized stars in polyhedral maps on surfaces

A generalized s-star, s ≥ 1, is a tree with a root Z of degree s; all other vertices have degree ≤ 2. Si denotes a generalized 3-star, all three maximal paths starting in Z have exactly i + 1 vertices (including Z). Let M be a surface of Euler characteristic χ(M) ≤ 0, and m(M) := b 5+ √ 49−24χ(M) 2 c. We prove: (1) Let k ≥ 1, d ≥ m(M) be integers. Each polyhedral map G on M with a k-path (on k ...

Principal Curvatures of Surfaces

automatic selection of locating and clamping surfaces in polyhedral parts milling based on normal vector graph and linear algebra

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