在研究FARO 激光扫描点云数据特点的基础上,将压缩感知理论和算法应用于3D 点云数据的压缩. 通过对点云数据降维处理,直接对坐标数据进行采样压缩,应用正交匹配追踪算法进行恢复,并对恢复数据采用统计滤波的方法滤除边缘噪点. 仿真结果表明:该方法能有效地实现点云数据的压缩,且有较好的鲁棒性.
This paper applies an algorithm for compression of 3D point cloud based on a study of scanning theory of the FARO laser scanner. The raw point cloud is processed via dimension reduction. The coordinate data are sampled and compressed, and then recovered using the orthogonal matching pursuit (OMP)algorithm.The recovered data are then processed with a statistic filter to remove edge point noise. Simulation results show that the presented method can compress point clouds with good robustness.
[1] ALLIEZ P, DESBRUN M. Valence-driven connectivity encoding for 3D meshes[C]//European Association for Computer Graphics, 2001: 480-489.
[2] ALLIEZ P, DESBRUN M. Progressive encoding for lossless transmission of triangle meshes[C]// Association for Computing Machinery’s Special Interest Group on Computer Graphics and Interactive Techniques , 2001: 198-205.
[3] PENG J, KUO C C J. Progressive geometry encoder using octree-based space partitioning[C]//Proceedings of the 2004 IEEE International Conference on Multimedia and Expo, ICME 2004 (2004): 1-4.
[4] PENG J, KUO C C J. Geometry-guided progressive lossless 3D mesh coding with octree (OT) decomposition[C]//Association for Computing Machinery’s Special Interest Group on Computer Graphics and Interactive Techniques, 2005: 609-616.
[5] SIDDIQUI Rizwan A, CELASUN I?il, OCTREE Ulu? Bayazit. Based compression of volumetric and surface 3D point cloud data [C]// Proceedings of 13th Intl Conference on Virtual Systems and Multimedia, Brisbane, Australia, 2007: 278-282.
[6] GUMHOLD S, KAMI Z, ISENBURG M, SEIDEL H P. Predictive point-cloud compression [C]//Proceedings of the sixth Israel-Korea Bi-National Conference, 2005: 125-129.
[7] KAMMERL J, BLODOW N, RUSU R B, GEDIKLI S, BEETZ M, STEINBACH E. Real-time compression of point cloud streams [C]// Robotics and Automation (ICRA) ,Saint Pual, 2012: 778-785.
[8] DARIBO I, FURUKAWA R, SAGAWA R, KAWASAKI H, HIURA S, ASADA N. Point cloud compression for grid-pattern-based 3D Scanning System [C]// Visual Communications and Image Processing (VCIP), 2011: 1-4.
[9] DARIBO Ismael, FURUKAWA Ryo, SAGAWA Ryusuke, KAWASAKI Hiroshi. Dynamic compression of curve-based point cloud [C]//PSIVT'11 Proceedings of the 5th Pacific Rim conference on Advances in Image and Video Technology - Volume Part II, 2011: 323-334.
[10] DARIBO Ismael, FURUKAWA Ryo, SAGAWA Ryusuke, KAWASA Ki Hiroshi, HIURA Shinsaku, ASADA Naoki. Efficient rate-distortion compression of dynamic point cloud for grid-pattern-based 3D scanning systems [C]// 3D Research, 2012, 3(1): 1-9.
[11] DARIBO I, FURUKAWA R, SAGAWA R, KAWASAKI H, HIURA S, ASADA N. Curve-based representation of point cloud for efficient compression. [C]//The 14th Meeting on Image Recognition and Understanding,2011: 1385-1390.
[12] DONOHO D. Compressed sensing[J]. IEEE Transactions on Information Theory, 2006, 52( 4) : 1289-1306.
[13] CANDE S E, EMAMNUEL J C. Compressive sampling[C]//Proceedings of International Congress of Mathematicians Switzerland: European Mathematical Society Publishing House, 2006: 1433-1452.
[14] CANDE' S E, ROMBERG J, TAO T. Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information[J].IEEE Transactions on Information Theory, 2006, 52( 2) : 489-509.
[15] BARANIUK R.A lecture on compressive sensing [J]. Signal Processing Magazine, 2007, 24(4): 118-121.