Detection, classification and estimation of individual shapes in 2D and 3D point clouds

Computational Statistics and Data Analysis

Volumn 58, Issue 1, 2013, Pages 227-241

  Su, J ^a   Srivastava, A ^a   Huffer, F W ^a  

^a FLORIDA STATE UNIVERSITY   (United States)

Author keywords

Point cloud; Poisson process; Shape estimation; Statistical shape detection

Indexed keywords

3-D SHAPE; 3D POINT CLOUD; EMPIRICAL EVALUATIONS; GENERALIZED LIKELIHOOD RATIO TEST; LIKELIHOOD FUNCTIONS; LOG LIKELIHOOD RATIO; POINT CLOUD; POINT CLOUD DATA; POISSON PROCESS; RATIO TEST; SHAPE ESTIMATION; SHAPE RETRIEVAL; STATISTICAL MODELS; STATISTICAL SHAPES;

COMPUTER VISION; ESTIMATION; POISSON DISTRIBUTION; THREE DIMENSIONAL COMPUTER GRAPHICS;

THREE DIMENSIONAL;

EID: 84869082993     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2012.09.008     Document Type: Article

References (28)

1. Alexa, M., Behr, J., Cohen-Or, D., Fleishman, S., Levin, D., Silva, C.T., 2001. Point set surfaces. In: Proc. The Conference on Visualization '01. pp. 21-28.
2. P. Besl, and H. McKay A method for registration of 3-D shapes IEEE Transactions on Pattern Analysis and Machine Intelligence 14 2 1992 239 256
3. Blanz, V., Mehl, A., Vetter, T., Seidel, H., 2004. A statistical method for robust 3D surface reconstruction from sparse data. In: Proc. the 2nd International Symposium on 3D Data Processing, Visualization, and Transmission. pp. 293-300.
4. H. Chui, and A. Rangarajan A new point matching algorithm for non-rigid registration Computer Vision and Image Understanding 89 2-3 2003 114 141
5. D. Cohen-Seiner, P. Alliez, and M. Desbrun Variational shape approximation ACM Transactions on Graphics 23 2004 905 914
6. N. Cressie, and C.K. Wikle Statistics for Spatio-Temporal Data 2011 John Wiley & Son
7. K.M.A. de Souza, J.T. Kent, and K.V. Mardia Stochastic templates for aquaculture images and a parallel pattern detector Journal of the Royal Statistical Society Series C 48 2 1999 211 227
8. T.K. Dey, and S. Goswami Provable surface reconstruction from noisy samples Journal of Computational Geometry: Theory and Applications 35 2006 124 141
9. I.L. Dryden, J.D. Hirst, and J.L. Melville Statistical analysis of unlabeled point sets: comparing molecules in chemoinformatics Biometrics 63 1 2007 237 251
10. M. Garland Multiresolution modeling: survey and future opportunities Eurographics 1999 111 131
11. P. Green, and K. Mardia Bayesian alignment using hierarchical models, with applications in protein bioinformatics Biometrika 93 2 2006 235 254
12. M. Gromov Metric structures for Riemannian and non-Riemannian spaces Progress in Mathematics vol. 152 1999 Birkhäuser Boston Inc. Boston, MA
13. Halma, A., ter Haar, F., Bovenkamp, E., Eendebak, P., van Eekeren, A., 2010. Single spin image-ICP matching for efficient 3D object recognition. In: Proc. ACM workshop on 3D object retrieval. pp. 21-26.
14. Hoppe, H., DeRose, T., Duchamp, T., Mcdonald, J., Stuetzle, W., 1992. Surface reconstruction from unorganized points. In: Proc. ACM SIGGRAPH. pp. 71-78.
15. J. Illian, A. Penttinen, H. Stoyan, and D. Stoyan Statistical Analysis and Modelling of Spatial Point Patterns 2008 John Wiley & Son
16. J. Kent, K. Mardia, and C. Taylor Matching problems for unlabeled configurations R.G. Aykroyd, S. Barber, K.V. Mardia, Proceedings of Bioinformatics, Images, and Wavelets LASR 04 2004 Leeds University Press 33 40
17. Kolluri, R., Shewchuk, J.R., O'Brien, J.F., 2004. Spectral surface reconstruction from noisy point clouds. In: Proc. Geometry Processing (Eurographics/ ACM SIGGRAPH). pp. 11-21.
18. Mederos, B., Amenta, N., Velho, L., de Figueiredo, L.H., 2005. Surface reconstruction from noisy point clouds. In: Proc. Geometry Processing (Eurographics/ ACM SIGGRAPH). pp. 53-62.
19. F. Mémoli, and G. Sapiro A theoretical and computational framework for isometry invariant recognition of point cloud data Foundations of Computational Mathematics 5 3 2005 313 347
20. A.C. Micheas, C.K. Wikle, and D.R. Larsen Random set modelling of three dimensional objects in a hierarchical Bayesian context Journal of Statistical Computation and Simulation 0 0 2012 1 17
21. A. Rangarajan, H. Chui, and F.L. Bookstein The softassign Procrustes matching algorithm Information Processing in Medical Imaging 1997 Springer 29 42
22. Shilane, P., Min, P., Kazhdan, M., Funkhouser, T., 2004. The Princeton shape benchmark. In: Shape Modeling International. pp. 167-178.
23. A. Srivastava, and I.H. Jermyn Looking for shapes in cluttered, two-dimensional point clouds IEEE Transactions on Pattern Analysis and Machine Intelligence 31 9 2009 1616 1629
24. A. Srivastava, S. Joshi, W. Mio, and X. Liu Statistical shape analysis: clustering, learning, and testing IEEE Transactions on Pattern Analysis and Machine Intelligence 27 2005 590 602
25. C. Taylor, K. Mardia, and J. Kent Matching unlabeled configurations using the EM algorithm R.G. Aykroyd, K.V. Mardia, M.J. Langdon, Proceedings of Stochastic Geometry, Biological Structure and Images LASR 03 2003 Leeds University Press 19 21
26. Verma, V., Kumar, R., Hsu, S., 2006. 3D building detection and modeling from aerial LIDAR data. In: CVPR. Vol. 2. pp. 2213-2220.
27. Walker, G., 1999. Robust, non-parametric and automatic methods for matching spatial point patterns. Ph.D. Thesis.
28. J. Wu, and L. Kobbelt Structure recovery via hybrid variational surface approximation Computer Graphics Forum 24 2005 277 284