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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 428917, 7 pages
Research Article

Quadratic Error Metric Mesh Simplification Algorithm Based on Discrete Curvature

Computer Science and Engineering Department, Southeast University, Nanjing 211189, China

Received 25 November 2014; Revised 20 March 2015; Accepted 1 April 2015

Academic Editor: Alessandro Gasparetto

Copyright © 2015 Li Yao et al. 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.


Complex and highly detailed polygon meshes have been adopted for model representation in many areas of computer graphics. Existing works mainly focused on the quadric error metric based complex models approximation, which has not taken the retention of important model details into account. This may lead to visual degeneration. In this paper, we improve Garland and Heckberts’ quadric error metric based algorithm by using the discrete curvature to reserve more features for mesh simplification. Our experiments on various models show that the geometry and topology structure as well as the features of the original models are precisely retained by employing discrete curvature.