Fast nonrigid 3D retrieval using modal space transform

Authors:
Jianbo Ye;Zhicheng Yan;Yizhou Yu
Affiliations:
The University of Hong Kong, Hong Kong, China;University of Illinois at Urbana-Champaign, Urbana, IL, USA;The University of Hong Kong, Hong Kong, China
Venue:
Proceedings of the 3rd ACM conference on International conference on multimedia retrieval
Year:
2013

Citing 16
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Abstract

Nonrigid or deformable 3D objects are common in many application domains. Retrieval of such objects in large databases based on shape similarity is still a challenging problem. In this paper, we first analyze the advantages of functional operators, and further propose a framework to design novel shape signatures for encoding nonrigid object structures. Our approach constructs a context-aware integral kernel operator on a manifold, then applies modal analysis to map this operator into a low-frequency functional representation, called fast functional transform, and finally computes its spectrum as the shape signature. Our method is fast, isometry-invariant, discriminative, and numerically stable with respect to multiple types of perturbations.