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Erschienen in:
2013 | OriginalPaper | Buchkapitel
90. The Reverse Loop Subdivision Algorithm on Approximate Minimum Error
verfasst von : Boning Ma, Longxing Kong, Xiaoan Tang, Gangyao Kuang
Erschienen in: Proceedings of 2013 Chinese Intelligent Automation Conference
Verlag: Springer Berlin Heidelberg
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Abstract
A new reverse Loop subdivision algorithm based on approximate minimum error is presented. At first, all isolated reverse equations in a finite grid region are found out according vertices relationship and symmetry of Loop subdivision mesh. And an integrated reverse equation is constructed using all these isolated equations by undecided parameter method. Then, the error between original grid and re-construction grid is calculated by vary original vertex. And undecided parameters are solved by using minimization error condition. To make undecided parameters independent on valence of neighbors, some approximation is applied on calculating mean error. At last, the integrated equation’s computing effect on whole grid is analyzed and an equivalent computation is obtained, and a fast implementing steps is given. The experimental results show that our algorithm can get a stable reverse result for those distorted subdivision grid.