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Towards Shape Constellation Inference through Higher-Order MRF Optimization in Nonlinear Embeddings

Abstract : This paper introduces a novel approach for inferring articulated shape models from images. A low-dimensional manifold embedding is created from a training set of prior mesh models to establish the patterns of global shape variations. Local appearance is captured from neighborhoods in the manifold once the overall representation converges. Inference with respect to the manifold and shape parameters is performed using a Markov Random Field (MRF). Singleton and pairwise potentials measure the support from the data and shape coherence from neighboring models respectively, while higher-order cliques encode geometrical modes of variation in localized shape models. Optimization of model parameters is achieved using efficient linear programming and duality. The resulting model is geometrically intuitive, captures the statistical distribution of the underlying manifold and respects image support in the spatial domain. Experimental results on articulated bodies such as spinal column geometry estimation demonstrate the potentials of our approach.
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https://hal.inria.fr/inria-00443079
Contributor : Samuel Kadoury <>
Submitted on : Sunday, April 4, 2010 - 7:00:06 AM
Last modification on : Wednesday, April 8, 2020 - 3:28:09 PM
Long-term archiving on: : Tuesday, September 14, 2010 - 5:19:56 PM

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Samuel Kadoury, Nikolaos Paragios. Towards Shape Constellation Inference through Higher-Order MRF Optimization in Nonlinear Embeddings. [Technical Report] RT-0376, INRIA. 2009. ⟨inria-00443079⟩

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