Toward an Isotropic Representation of 3D Triangulated Surface Object

被引：1

作者：

Hajji, Mehdi ^{[1
]}

Bannour, Tarak ^{[1
]}

Ghorbel, Faouzi ^{[1
]}

机构：

[1] Ecole Natl Sci Informat, CRISTAL, GRIFT, Tunis 2010, Tunisia

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B | 2012年 / 1479卷

关键词：

Isotropy; Mesh; Quantification; Curvatures; Iso curvatures;

D O I：

10.1063/1.4756652

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose in this work, an isotropic representation of 3D mesh object. It is represented by a pseudo 3D digital parameterization of its outer surface. It is obtained through an estimation of both principle curvatures in every vertex of an initial mesh and by defining two networks of orthogonal curves that are invariably linked to the exterior profile of the object. A quantification of discrete graphs of both curves can lead to the extraction of an isotropic cloud of points corresponding to intersections of the lines of maximum and minimum iso curvatures.

引用

页码：2294 / 2297

页数：4