Geodesic
3D Point Pattern Matching Based on Spatial Geometric Flexibility
Computer Science and Information Systems, Tome 7 (2010) no. 1.

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We propose a new method for matching two 3D point sets of identical cardinality with global similarity but local non-rigid deformations and distribution errors. This problem arises from marker based optical motion capture (Mocap) systems for facial Mocap data. To establish one-to-one identifications, we introduce a forward 3D point pattern matching (PPM) method based on spatial geometric flexibility, which considers a non-rigid deformation between the two point-sets. First, a model normalization algorithm based on simple rules is presented to normalize the two point-sets into a fixed space. Second, a facial topological structure model is constructed, which is used to preserve spatial information for each FP. Finally, we introduce a Local Deformation Matrix (LDM) to rectify local searching vector to meet the local deformation. Experimental results confirm that this method is applicable for robust 3D point pattern matching of sparse point sets with underlying non-rigid deformation and similar distribution.
Keywords: Point pattern matching (PPM), Face model, Spatial geometric flexibility, Topological structure, Motion capture (Mocap), Non-rigid deformation 
@article{CSIS_2010_7_1_a20,
     author = {Xiaopeng Wei and Xiaoyong Fang and Qiang Zhang and Dongsheng Zhou},
     title = {3D {Point} {Pattern} {Matching} {Based} on {Spatial} {Geometric} {Flexibility}},
     journal = {Computer Science and Information Systems},
     publisher = {mathdoc},
     volume = {7},
     number = {1},
     year = {2010},
     url = {http://geodesic.mathdoc.fr/item/CSIS_2010_7_1_a20/}
}
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Xiaopeng Wei; Xiaoyong Fang; Qiang Zhang; Dongsheng Zhou. 3D Point Pattern Matching Based on Spatial Geometric Flexibility. Computer Science and Information Systems, Tome 7 (2010) no. 1. http://geodesic.mathdoc.fr/item/CSIS_2010_7_1_a20/