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Journal of Applied Mathematics
Volume 2014, Article ID 189241, 14 pages
Research Article

Surface Simplification of 3D Animation Models Using Robust Homogeneous Coordinate Transformation

Department of Computer Science and Information Engineering, Minghsin University of Science and Technology, No. 1 Xinxing Road, Xinfeng Township, Hsinchu County 304, Taiwan

Received 13 June 2014; Accepted 10 August 2014; Published 1 September 2014

Academic Editor: Zhenfu Cao

Copyright © 2014 Juin-Ling Tseng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The goal of 3D surface simplification is to reduce the storage cost of 3D models. A 3D animation model typically consists of several 3D models. Therefore, to ensure that animation models are realistic, numerous triangles are often required. However, animation models that have a high storage cost have a substantial computational cost. Hence, surface simplification methods are adopted to reduce the number of triangles and computational cost of 3D models. Quadric error metrics (QEM) has recently been identified as one of the most effective methods for simplifying static models. To simplify animation models by using QEM, Mohr and Gleicher summed the QEM of all frames. However, homogeneous coordinate problems cannot be considered completely by using QEM. To resolve this problem, this paper proposes a robust homogeneous coordinate transformation that improves the animation simplification method proposed by Mohr and Gleicher. In this study, the root mean square errors of the proposed method were compared with those of the method proposed by Mohr and Gleicher, and the experimental results indicated that the proposed approach can preserve more contour features than Mohr’s method can at the same simplification ratio.