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Simplicial diffeomorphisms

机译:单纯形异同

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摘要

In this paper we will present a theory for simplicial diffeomorphims, that is, diffeomorphisms that preserve the incidence relations of a simplicial complex. Simplicial diffeomorphisms can be regarded as curvilinear barycentric coordinates. Using the combination of piecewise linear functions on complexes with simplicial diffeomorphisms, we also propose a new representation of curves and surfaces (and hypersurfaces, in general) that is simultaneously implicit and parametric.
机译:在本文中,我们将提出一种用于单纯形非同构词的理论,即保持同形复形的入射关系的非同构性。简单的亚同性可以看作曲线的重心坐标。通过使用复杂的分段线性函数结合简单的亚纯性,我们还提出了同时隐式和参数化的曲线和曲面(通常是超曲面)的新表示形式。

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