Representing 3D models for alignment and recognition
نویسندگان
چکیده
Thanks to the success of 3D reconstruction algorithms and the development of online tools for computer-aided design (CAD) the number of publicly available 3D models has grown significantly in recent years, and will continue to do so. This thesis investigates representations of 3D models for 3D shape matching, instance-level 2D-3D alignment, and category-level 2D-3D recognition. The geometry of a 3D shape can be represented almost completely by the eigen-functions and eigen-values of the Laplace-Beltrami operator on the shape. We use this mathematically elegant representation to characterize points on the shape, with a new notion of scale. This 3D point signature can be interpreted in the framework of quantum mechanics and we call it the Wave Kernel Signature (WKS). We show that it has advantages with respect to the previous state-of-the-art shape descriptors, and can be used for 3D shape matching, segmentation and recognition. — M. Aubry : Representing 3D models for alignment and recognition —
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