Spatio-temporal segmentation for the similarity measurement of deforming meshes

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Although there have been a large body of works on computing the similarity of static shapes, similarity judgments on deforming meshes are not studied well. In this study, we investigate a similarity measurement method for comparing two deforming meshes. Based on the degree of deformation, we first binarily label each triangle within each frame as either ‘deformed’ or ‘rigid’, then merge the ‘deformed’ triangles in both spatial and temporal domains for the segmentation. The segmentation results are encoded in a form of evolving graph, with an aim of obtaining a compact representation of the motion of the mesh. Finally, we formulate the similarity measurement as a sequence matching problem: after clustering similar graphs and assigning each of the graphs with the cluster labels, each deforming mesh is represented with a sequence of labels. Then, we apply a sequence alignment algorithm to compute the locally optimal alignment between the two label sequences, and to compute the similarity by normalizing the alignment score. The experimental results over several datasets show that the similarities of animation data can be captured correctly using our approach. This may be significant, as it solves a problem that cannot be handled by current approaches.

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We first would like to thank Professor Adrian Hilton and Dr. Peng Huang from the University of Surrey, for providing us a set of synthetic deforming meshes, which have been used for evaluation. We are grateful to MIRALab at the University of Geneva, who has provided us with the scanned face data. This has allowed us to make the highly resoluted facial animations “Face_2” and “Face_3” by transferring our mocap facial expressions to the scanned meshes. We would like to thank Frédéric Larue and Olivier Génevaux for providing us with the facial motion capture data, and Arash Habibi for providing us the “Horse_2” data. We also would like to thank Vasyl Mykhalchuk, who has developed a tool for visualizing the evolving graphs. This work has been jointly supported by the French national project SHARED (Shape Analysis and Registration of People Using Dynamic Data, No. 10-CHEX-014-01), and the Science and Technology Research Project of Jiangxi Provincial Department of Education (GJJ14246).

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Correspondence to Guoliang Luo.

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Luo, G., Cordier, F. & Seo, H. Spatio-temporal segmentation for the similarity measurement of deforming meshes. Vis Comput 32, 243–256 (2016) doi:10.1007/s00371-015-1178-8

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  • Spatio-temporal segmentation
  • Deforming mesh
  • Similarity
  • Sequence alignment