Shape analysis via inconsistent surface registration
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AbstractIn 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.
All Author(s) ListGary P. T. Choi , Di Qiu, Lok Ming Lui
Journal nameProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Year2020
Month10
Volume Number476
Issue Number2242
PublisherThe Royal Society Publishing
Place of PublicationUnited Kingdom
Article number20200147
ISSN1364-5021
eISSN1471-2946
LanguagesEnglish-United Kingdom

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