Triangular Mesh Simplification Based on Bounded Error

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Abstract:

The author proposed a triangular mesh simplification algorithm with the methodology of vertex culling, which is based on bounded error. The algorithm includes several steps as follow. Firstly, the algorithm arrays the vertex according to the curvature. The curvature of local area around one vertex reduces in the array. Secondly, for one vertex to be deleted, the bounding box’s height of the local area will be calculated. And the reduction of the bounding box’s height is controlled as restraint of vertex culling. After the vertex culling, triangular mesh reconstruction is conducted on polygon to fill up the hollows formed in the above steps. This algorithm well balanced the deletion rate and deletion error in the experiment.

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77-82

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November 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Balmelli L, Liebling T, Vetterli M (2003) Computational analysis of mesh simplification using global error. Comp Geom-Theor Appl 25:171–196

DOI: 10.1016/s0925-7721(02)00166-9

Google Scholar

[2] Kim NH, Yoo SK, Lee KS (2003) Polygon reduction of 3D objects using Stokes' theorem. Comput Meth Prog Bio 71:203– 210

DOI: 10.1016/s0169-2607(02)00100-1

Google Scholar

[3] Alvarez R, Noguera JV, Tortosa L, Zamora A (2007) A mesh optimization algorithm based on neural networks. Inform Sciences 177:5347–5364

DOI: 10.1016/j.ins.2007.05.029

Google Scholar

[4] Li WD, Cai YL, Lu WF (2007) A 3D simplification algorithm for distributed visualization. Comput Ind 58:211–226

Google Scholar

[5] Chang IS, Park RH (2003) Range image reconstruction based on robust multiresolution estimation of surface parameters. Comput Vis Image Und 24:1123–1131

DOI: 10.1016/s0167-8655(02)00282-9

Google Scholar

[6] Lee KH, Woo H, Suk T (2001) Data reduction methods for reverse engineering. Int J Adv Manuf Technol 17:735–743

Google Scholar