Shape analysis via inconsistent surface registration
Publication in refereed journal

香港中文大學研究人員
替代計量分析
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其它資訊
摘要In this work, we develop a framework for shape analysis using inconsistent surface mapping. Traditional landmark-based geometric morphometr- ics methods suffer from the limited degrees of freedom, while most of the more advanced non-rigid surface mapping methods rely on a strong assumption of the global consistency of two surfaces. From a practical point of view, given two anatomical surfaces with prominent feature landmarks, it is more desirable to have a method that automatically detects the most relevant parts of the two surfaces and finds the optimal landmark-matching alignment between these parts, without assuming any global 1-1 correspondence between the two surfaces. Our method is capable of solving this problem using inconsistent surface registration based on quasi-conformal theory. It further enables us to quantify the dissimilarity of two shapes using quasi-conformal distortion and differences in mean and Gaussian curvatures, thereby providing a natural way for shape classification. Experiments on Platyrrhine molars demonstrate the effectiveness of our method and shed light on the interplay between function and shape in nature.
著者Gary P. T. Choi , Di Qiu, Lok Ming Lui
期刊名稱Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
出版年份2020
月份10
卷號476
期次2242
出版社The Royal Society Publishing
出版地United Kingdom
文章號碼20200147
國際標準期刊號1364-5021
電子國際標準期刊號1471-2946
語言英式英語

上次更新時間 2021-13-10 於 23:58