NDLI: A Scale-Invariant Diffusion Distance for Non-rigid Shape Analysis

Content Provider	IEEE Xplore Digital Library
Author	Kang Wang Zhongke Wu Taorui Jia Ali, S. Junli Zhao Guoliang Yang Mingquan Zhou
Copyright Year	2014
Description	Author affiliation: Beijing Key Lab. of Digital Preservation & Virtual Reality for Cultural Heritage, Beijing Normal Univ., Beijing, China (Kang Wang; Zhongke Wu; Taorui Jia; Ali, S.; Junli Zhao; Guoliang Yang; Mingquan Zhou)
Abstract	Diffusion geometry has been adopted in various shape processing applications, ranging from pattern recognition to more recent 3D shape analysis. But scaling factors have a great influence on the results of non-rigid shape processing such as shape retrieval, correspondence and comparison. There remains a difficult challenge for shape processing without a priori knowledge of the scale of the input shapes. In this paper we address the scale ambiguity problem with a new distance measure called Scale-invariant Diffusion Distance (SIDD). This SIDD is the extension of the diffusion distance, and has all the properties inheriting from it. Comparing to some existing distances, the scale-invariant diffusion distance is more suitable for the non-rigid shape analysis. Moreover, the proposed algorithm is simple and easily implement able. The proof of theory is given and some experiments are done on the TOSCA dataset. The results of the experiments show that our method achieves good robustness and effectiveness in scaled shape analysis.
Starting Page	290
Ending Page	295
File Size	356080
Page Count	6
File Format	PDF
e-ISBN	9781479968541
DOI	10.1109/ICVRV.2014.63
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-08-30
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Manifolds Geometry Scale invariance Shape Diffusion distance Heating Noise Diffusion geometry Heat kernel Eigenvalues and eigenfunctions Kernel Laplace-Beltrami operator
Content Type	Text
Resource Type	Article

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