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University of Illinois at Urbana-Champaign
Algorithms for Smooth and Deformable Surfaces in Three Dimensions
Abstract
dc:descriptionWe develop an algorithm and software for the construction and visualization of the skin surface in 3D in various ways, namely, a parametric representation, static and dynamic triangulations. The triangulation algorithm is guaranteed to terminate with a high quality triangle mesh. In our investigation, geometric properties of the skin serve as the foundation of our proofs and insights for the algorithms. The proofs can be extended to the meshing of other low degree surfaces, such as NURBS. The surfaces created by the software bring stability in finite element methods and visualization of molecular structures to scientists.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Computer Science
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Cheng, Holun
- Contributors dc:contributor
-
- Edelsbrunner, Herbert
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI3044067
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/81599