Title page for ETD etd-10242011-153604

Type of Document Master's Thesis
Author Wan, Shenghua
Author's Email Address swan2@lsu.edu
URN etd-10242011-153604
Title Surface Parameterization over Regular Domains
Degree Master of Science in Electrical Engineering (M.S.E.E.)
Department Electrical & Computer Engineering
Advisory Committee
Advisor Name Title
Li, Xin Committee Chair
Ramanujam, Jagannathan Committee Member
Wu, Hsiao-Chun Committee Member
Zhang, Hongchao Committee Member
  • Domain Optimization
  • Polycube Mapping
  • Surface Parameterization
Date of Defense 2011-10-07
Availability unrestricted
Surface parameterization has been widely studied and it has been playing a critical role in many geometric processing tasks in graphics, computer-aided design, visualization, vision, physical simulation and etc. Regular domains, such as polycubes, are favored due to their structural regularity and geometric simplicity. This thesis focuses on studying the surface parameterization over regular domains, i.e. polycubes, and develops effective computation algorithms. Firstly, the motivation for surface parameterization and polycube mapping is introduced. Secondly, we briefly review existing surface parameterization techniques, especially for extensively studied parameterization algorithms for topological disk surfaces and parameterizations over regular domains for closed surfaces. Then we propose a polycube parameterization algorithm for closed surfaces with general topology. We develop an efficient optimization framework to minimize the angle and area distortion of the mapping. Its applications on surface meshing, inter-shape morphing and volumetric polycube mapping are also discussed.
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