Abstract
This study contributes to the discrete differential geometry of triangle meshes, in combination with discrete line congruences associated with such meshes. In particular we discuss when a congruence defined by linear interpolation of vertex normals deserves to be called a ‘normal’ congruence. Our main results are a discussion of various definitions of normality, a detailed study of the geometry of such congruences, and a concept of curvatures and shape operators associated with the faces of a triangle mesh. These curvatures are compatible with both normal congruences and the Steiner formula.
Originalsprache | englisch |
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Titel | Advances in Discrete Differential Geometry |
Redakteure/-innen | Alexander I. Bobenko |
Herausgeber (Verlag) | Springer Verlag |
Seiten | 267-286 |
ISBN (elektronisch) | 978-3-662-50447-5 |
ISBN (Print) | 978-3-662-50446-8 |
DOIs | |
Publikationsstatus | Veröffentlicht - 2016 |
Fields of Expertise
- Information, Communication & Computing