Deformable shape retrieval using bag-of-feature techniques

We present a novel method for 3D-shape matching using Bag-of-Feature techniques (BoF). The method starts by selecting and then describing a set of points from the 3D-object. Such descriptors have the advantage of being invariant to different transformations that a shape can undergo. Based on vector quantization, we cluster those descriptors to form a shape vocabulary. Then, each point selected in the object is associated to a cluster (word) in that vocabulary. Finally, a BoF histogram counting the occurrences of every word is computed. These results clearly demonstrate that the method is robust to non-rigid and deformable shapes, in which the class of transformations may be very wide due to the capability of such shapes to bend and assume different forms.

[1]  Ariel Shamir,et al.  Pose-Oblivious Shape Signature , 2007, IEEE Transactions on Visualization and Computer Graphics.

[2]  Alexander M. Bronstein,et al.  Efficient Computation of Isometry-Invariant Distances Between Surfaces , 2006, SIAM J. Sci. Comput..

[3]  Ryutarou Ohbuchi,et al.  Salient local visual features for shape-based 3D model retrieval , 2008, 2008 IEEE International Conference on Shape Modeling and Applications.

[4]  Nello Cristianini,et al.  Latent Semantic Kernels , 2001, Journal of Intelligent Information Systems.

[5]  Remco C. Veltkamp,et al.  A survey of content based 3D shape retrieval methods , 2004, Proceedings Shape Modeling Applications, 2004..

[6]  Daniela Giorgi,et al.  SHape REtrieval Contest 2007: Watertight Models Track , 2007 .

[7]  Ayellet Tal,et al.  Mesh segmentation using feature point and core extraction , 2005, The Visual Computer.

[8]  Mohamed Daoudi,et al.  Partial 3D Shape Retrieval by Reeb Pattern Unfolding , 2009, Comput. Graph. Forum.

[9]  Valerio Pascucci,et al.  Loops in Reeb Graphs of 2-Manifolds , 2003, SCG '03.

[10]  A. Bronstein,et al.  Shape Google : a computer vision approach to invariant shape retrieval , 2009 .

[11]  Anne Verroust-Blondet,et al.  3D Model Retrieval Based on Depth Line Descriptor , 2007, 2007 IEEE International Conference on Multimedia and Expo.

[12]  David G. Stork,et al.  Pattern Classification , 1973 .

[13]  Bernard Chazelle,et al.  Shape distributions , 2002, TOGS.

[14]  Vladimir Vapnik,et al.  Statistical learning theory , 1998 .

[15]  Andrew W. Moore,et al.  X-means: Extending K-means with Efficient Estimation of the Number of Clusters , 2000, ICML.

[16]  Taku Komura,et al.  Topology matching for fully automatic similarity estimation of 3D shapes , 2001, SIGGRAPH.

[17]  Mohamed Daoudi,et al.  A Bayesian 3-D Search Engine Using Adaptive Views Clustering , 2007, IEEE Transactions on Multimedia.

[18]  Marc Rioux,et al.  Nefertiti: a query by content system for three-dimensional model and image databases management , 1999, Image Vis. Comput..

[19]  Yi Liu,et al.  Shape Topics: A Compact Representation and New Algorithms for 3D Partial Shape Retrieval , 2006, 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'06).

[20]  Alberto Del Bimbo,et al.  Retrieval of 3D objects using curvature correlograms , 2005, 2005 IEEE International Conference on Multimedia and Expo.

[21]  Alfred M. Bruckstein,et al.  Partial Similarity of Objects, or How to Compare a Centaur to a Horse , 2009, International Journal of Computer Vision.

[22]  Jovan Popovic,et al.  Deformation transfer for triangle meshes , 2004, ACM Trans. Graph..

[23]  Shigeo Abe DrEng Pattern Classification , 2001, Springer London.