International Journal of Computer Vision

, Volume 117, Issue 3, pp 226–246

Complex Non-rigid 3D Shape Recovery Using a Procrustean Normal Distribution Mixture Model


DOI: 10.1007/s11263-015-0860-7

Cite this article as:
Cho, J., Lee, M. & Oh, S. Int J Comput Vis (2016) 117: 226. doi:10.1007/s11263-015-0860-7


Recovering the 3D shape of a non-rigid object is a challenging problem. Existing methods make the low-rank assumption and do not scale well with the increased degree of freedom found in complex non-rigid deformations or shape variations. Moreover, in general, the degree of freedom of deformation is assumed to be known in advance, which limits the applicability of non-rigid structure from motion algorithms in a practical situation. In this paper, we propose a method for handling complex shape variations based on the assumption that complex shape variations can be represented probabilistically by a mixture of primitive shape variations. The proposed model is a generative probabilistic model, called a Procrustean normal distribution mixture model, which can model complex shape variations without rank constraints. Experimental results show that the proposed method significantly outperforms existing methods.


3D reconstruction Shape analysis Non-rigid structure from motion Non-rigid shape recovery 

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Department of Electrical and Computer Engineering and ASRISeoul National UniversitySeoulKorea
  2. 2.Division of Electrical EngineeringHanyang UniversityAnsanKorea

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