Three Novel Algorithms for Triangle Mesh Processing: Progressive Delaunay Refinement Mesh Generation, Mls-Based Scattered Data Interpolation and Constrained Centroid Voronoi-Based Quadrangulation
Jin, Jingyi
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https://hdl.handle.net/2142/81849
Description
Title
Three Novel Algorithms for Triangle Mesh Processing: Progressive Delaunay Refinement Mesh Generation, Mls-Based Scattered Data Interpolation and Constrained Centroid Voronoi-Based Quadrangulation
Author(s)
Jin, Jingyi
Issue Date
2008
Doctoral Committee Chair(s)
Michael J. Garland
Department of Study
Computer Science
Discipline
Computer Science
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Computer Science
Language
eng
Abstract
The last problem I address in the thesis is the conversion of triangle meshes to quadrilateral meshes. Although triangle meshes are preferred in most of applications, quadrilateral meshes show more stability in scientific computation. Because most of acquisition and mesh generation methods result in triangle meshes, converting those to quadrilateral domain has become an important research problem too. The technique that presented in this thesis uses quantization theory and clustering analysis to generate multiresolution quadrilateral mesh.
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