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Title: Mesh simplification with hierarchical shape analysis and iterative edge contraction
Authors: Yan, J
Shi, P
Zhang, DD 
Keywords: Mesh simplification
Object hierarchies
Level of detail
Shape approximation
Issue Date: Mar-2004
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on visualization and computer graphics, March/April 2004, v. 10, no. 2, p. 142-151 How to cite?
Journal: IEEE transactions on visualization and computer graphics 
Abstract: This paper presents a novel mesh simplification algorithm. It decouples the simplification process into two phases: shape analysis and edge contraction. In the analysis phase, it imposes a hierarchical structure on a surface mesh by uniform hierarchical partitioning, marks the importance of each vertex in the hierarchical structure, and determines the affected regions of each vertex at the hierarchical levels. In the contraction phase, it also divides the simplification procedure into two steps: half-edge contraction and optimization. In the first step, memoryless quadric metric error and the importance of vertices in the hierarchical structure are combined to determine one operation of half-edge contraction. In the second step, it repositions the vertices in the half-edge simplified mesh by minimizing the multilevel synthesized quadric error on the corresponding affected regions from the immediately local to the more global. The experiments illustrate the competitive results.
ISSN: 1077-2626
EISSN: 1941-0506
DOI: 10.1109/TVCG.2004.1260766
Rights: © 2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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