Multi-scale interest regions from unorganized point clouds

Several computer vision algorithms rely on detecting a compact but representative set of interest regions and their associated descriptors from input data. When the input is in the form of an unorganized 3D point cloud, current practice is to compute shape descriptors either exhaustively or at randomly chosen locations using one or more preset neighborhood sizes. Such a strategy ignores the relative variation in the spatial extent of geometric structures and also risks introducing redundancy in the representation. This paper pursues multi-scale operators on point clouds that allow detection of interest regions whose locations as well as spatial extent are completely data-driven. The approach distinguishes itself from related work by operating directly in the input 3D space without assuming an available polygon mesh or resorting to an intermediate global 2D parameterization. Results are shown to demonstrate the utility and robustness of the proposed method.

[1]  David G. Lowe,et al.  Distinctive Image Features from Scale-Invariant Keypoints , 2004, International Journal of Computer Vision.

[2]  Jitendra Malik,et al.  Shape matching and object recognition using shape contexts , 2010, 2010 3rd International Conference on Computer Science and Information Technology.

[3]  Jitendra Malik,et al.  Recognizing Objects in Range Data Using Regional Point Descriptors , 2004, ECCV.

[4]  Cordelia Schmid,et al.  A Comparison of Affine Region Detectors , 2005, International Journal of Computer Vision.

[5]  Steven W. Zucker,et al.  Diffusion Maps and Geometric Harmonics for Automatic Target Recognition (ATR). Volume 2. Appendices , 2007 .

[6]  Andrew P. Witkin,et al.  Scale-space filtering: A new approach to multi-scale description , 1984, ICASSP.

[7]  Robert C. Reilly,et al.  Mean Curvature, the Laplacian, and Soap Bubbles , 1982 .

[8]  Miguel Á. Carreira-Perpiñán,et al.  Proximity Graphs for Clustering and Manifold Learning , 2004, NIPS.

[9]  Martial Hebert,et al.  Rapid object indexing using locality sensitive hashing and joint 3D-signature space estimation , 2006, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[10]  Igor Guskov,et al.  Multi-scale features for approximate alignment of point-based surfaces , 2005, SGP '05.

[11]  Markus H. Gross,et al.  Multi‐scale Feature Extraction on Point‐Sampled Surfaces , 2003, Comput. Graph. Forum.

[12]  Tony Lindeberg,et al.  Feature Detection with Automatic Scale Selection , 1998, International Journal of Computer Vision.

[13]  Atsushi Imiya,et al.  Linear Scale-Space has First been Proposed in Japan , 1999, Journal of Mathematical Imaging and Vision.

[14]  Ko Nishino,et al.  Scale-Dependent 3D Geometric Features , 2007, 2007 IEEE 11th International Conference on Computer Vision.

[15]  Andrew E. Johnson,et al.  Using Spin Images for Efficient Object Recognition in Cluttered 3D Scenes , 1999, IEEE Trans. Pattern Anal. Mach. Intell..

[16]  Gabriel Taubin,et al.  A signal processing approach to fair surface design , 1995, SIGGRAPH.

[17]  J. Koenderink The structure of images , 2004, Biological Cybernetics.

[18]  Fan Chung,et al.  Spectral Graph Theory , 1996 .

[19]  Andrew P. Witkin,et al.  Scale-Space Filtering , 1983, IJCAI.

[20]  G LoweDavid,et al.  Distinctive Image Features from Scale-Invariant Keypoints , 2004 .