Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Density-Based 3D Shape Descriptors | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2007 Article ID 32503 16 pages doi 2007 32503 Research Article Density-Based 3D Shape Descriptors Ceyhun Burak Akgul 1 2 Bulent Sankur 1 Yucel Yemez 3 and Francis Schmitt2 1 Electrical and Electronics Engineering Department Bogazifi University 34342 Bebek Istanbul Turkey 2 GET-Telecom Paris CNRS UMR 5141 75634 Paris Cedex 13 France 3 Computer Engineering Department Koc University 34450 Sariyer Istanbul Turkey Received 1 February 2006 Revised 14 July 2006 Accepted 10 September 2006 Recommended by Petros Daras We propose a novel probabilistic framework for the extraction of density-based 3D shape descriptors using kernel density estimation. Our descriptors are derived from the probability density functions pdf of local surface features characterizing the 3D object geometry. Assuming that the shape of the 3D object is represented as a mesh consisting of triangles with arbitrary size and shape we provide efficient means to approximate the moments of geometric features on a triangle basis. Our framework produces a number of 3D shape descriptors that prove to be quite discriminative in retrieval applications. We test our descriptors and compare them with several other histogram-based methods on two 3D model databases Princeton Shape Benchmark and Sculpteur which are fundamentally different in semantic content and mesh quality. Experimental results show that our methodology not only improves the performance of existing descriptors but also provides a rigorous framework to advance and to test new ones. Copyright 2007 Ceyhun Burak Akgul et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. INTRODUCTION The use of 3D models is becoming increasingly more commonplace with their distribution on the Internet and with the
