An optimization approach to subdivision mesh construction

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An optimization approach to subdivision mesh construction

 

Author: Lau, Chi-ngong Angus
Title: An optimization approach to subdivision mesh construction
Degree: M.Sc.
Year: 2000
Subject: Numerical grid generation (Numerical analysis)
Hong Kong Polytechnic University -- Dissertations
Department: Multi-disciplinary Studies
Dept. of Computing
Pages: v, 67 leaves : ill. ; 30 cm
Language: English
InnoPac Record: http://library.polyu.edu.hk/record=b1527647
URI: http://theses.lib.polyu.edu.hk/handle/200/3554
Abstract: Today's automatic acquisition devices (e.g. laser scanners) are capable to generate complex three-dimensional meshes composed of hundreds of thousands of triangular surfaces. Although modem desktop computers provide high processing power and large storage at low cost, reduction of resolution is required for speedy rendering and animating those meshes. [LOU97] introduced subdivision wavelet transform (SWT) based multiresolution approach to approximate surface meshes to provide fair data compression. In order to apply this transformation, one needs to construct a series of subdivision meshes. In this dissertation, we propose a construction algorithm based on simulated annealing optimization algorithm to convert arbitrary meshes into subdivision meshes. In particular, we propose to optimize some metrics, which are employed for measuring the goodness of the subdivision mesh based on geometrical properties of individual topology type and resemblance to the original mesh. In addition, we develop a seed growing based remeshing algorithm to produce a coarse initial mesh so that a set of subdivision mesh can be generated for the application of SWT.

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