Pose detection of 3-D objects using S2-correlated images and discrete spherical harmonic transforms

Proceedings - IEEE International Conference on Robotics and Automation

Volumn , Issue , 2008, Pages 993-998

  Hoover, Randy C ^a   Maciejewski, Anthony A ^a   Roberts, Rodney G ^b  

^a Department of Mechanical Engineering   (United States)

^b FAMU FSU COLLEGE OF ENGINEERING   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARSENIC COMPOUNDS; ARTIFICIAL INTELLIGENCE; AUTOMATION; COMPUTER NETWORKS; COMPUTER VISION; IMAGE ENHANCEMENT; IMAGE PROCESSING; INDUSTRIAL ENGINEERING; ROBOTIC ASSEMBLY; ROBOTICS; ROBOTS;

3-D OBJECTS; EIGEN-DECOMPOSITION; INTERNATIONAL CONFERENCES;

OBJECT RECOGNITION;

EID: 51649098602     PISSN: 10504729     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ROBOT.2008.4543334     Document Type: Conference Paper

References (31)

1. K. Fukunaga, Introduction to Statistical Pattern Recognition. London, U.K.: Academic, 1990.
2. J. J. Gerbrands, "On the relationships between SVD, KLT and PCA," Pattern Recognition, vol. 14, no. 1-6, pp. 375-381, 1981.
3. H. Murase and S. K. Nayar, "Visual learning and recognition of 3-D objects from appearance," Int. J. Comp. Vis., vol. 14, no. 1, pp. 5-24, Jan. 1995.
4. H. Murakami and V. Kumar, "Efficient calculation of primary images from a set of images," IEEE Trans. PAMI, vol. 4, no. 5, pp. 511-515, Sept. 1982.
5. X. Yang, T. K. Sarkar, and E. Arvas, "A survey of conjugate gradient algorithms for solution of extreme eigen-problems for a symmetric matrix," IEEE Trans. ASSP, vol. 37, no. 10, pp. 1550-1556, Oct. 1989.
6. C. R. Vogel and J. G. Wade, "Iterative SVD-based methods for ill-posed problems," SIAM J. Sci. Comput., vol. 15, no. 3, pp. 736-754, May 1994.
7. S. Chandrasekaran, B. Manjunath, Y. Wang, J. Winkeler, and H. Zhang, "An eigenspace update algorithm for image analysis," CVGIP: Graphic Models and Image Proc., vol. 59, no. 5, pp. 321-332, Sept. 1997.
8. C. Y. Chang, A. A. Maciejewski, and V. Balakrishnan, "Fast eigenspace decomposition of correlated images," IEEE Trans. Image Proc., vol. 9, no. 11, pp. 1937-1949, Nov. 2000.
9. K. Saitwal, A. A. Maciejewski, R. G. Roberts, and B. Draper, "Using the low-resolution properties of correlated images to improve the computational efficiency of eigenspace decomposition," IEEE Trans. Image Proc., vol. 15, no. 8, pp. 2376-2387, Aug. 2006.
10. P. N. Swarztrauber, "The vector harmonic transform method for solving partial differential equations in spherical geometry," Mon. Wea. Rev., vol. 121, pp. 3415-3437, 1993.
11. M. A. Wieczorek and F. J. Simons, "Localized spectral analysis on the sphere," Geoph. J. Int, vol. 162, no. 3, pp. 655-675, 2005.
12. F. J. Simons, F. A. Dahlen, and M. A. Wieczorek, "Spatiospectral localization on a sphere," SIAM Review, vol. 48, no. 3, pp. 504-536, 2006.
13. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum. New Jersey, USA: World Scientific, 1988.
14. G. B. Arfken, Mathematical Methods for Physicists. New York, USA: Academic Press, 1970.
15. R. Ramamoorthi, "Analytic PCA construction for theoretical analysis of lighting variability in images of a Lambertian object," IEEE Trans. PAMI, vol. 24, no. 10, pp. 1322-1333, Oct. 2002.
16. L. Qing, S. Shan, and W. Gao, "Eigen-harmonic faces: Face recognition under generic lighting," in IEEE Int. Conf. Auto. Face Gesture Rec., May 17-19, 2004, pp. 296-301.
17. S. Romdhani, J. Ho, T. Vetter, , and D. J. Kriegman, "Face recognition using 3-D models: Pose and illumination," Proc. of the IEEE, vol. 294, no. 11, pp. 1977-1999, Nov. 2006.
18. L. Zhang and D. Samaras, "Face recognition from a single training image under arbitrary unknown lighting using spherical harmonics," IEEE Trans. PAMI, vol. 28, no. 3, pp. 351-363, Mar. 2006.
19. B. Bustos, D. A. Keim, D. Saupe, T. Schreck, and D. V. Vranic, "Feature-based similarity search in 3-D object databases," ACM Comp. Surveys, vol. 37, no. 4, pp. 345-387, Dec. 2005.
20. D. Saupe and D. V. Vranic, "3-D model retrieval with spherical harmonics and moments," in DAGM-Symp. on Patt. Rec., 2001, pp. 392-397.
21. D. V. Vranic, "An improvement of rotation invariant 3d-shape based on functions on concentric spheres," in IEEE Conf. Image Proc., Sept 14-17, 2003, pp. 757-760.
22. A. Makadia and K. Daniilidis, "Rotation recovery from spherical images without correspondences," IEEE Trans. PAMI, vol. 28, no. 7, pp. 1170-1175, July 2006.
23. N. Sneeuw, "Global spherical harmonic analysis by least squares and numerical quadrature methods in historical perspective," http://www.geomatics.ucalgary.ca/~sneeuw/publ/neumann.ps, 2007.
24. P. N. Swarztrauber and W. F. Spotz, "Generalized discrete spherical harmonic transforms," J. of Comp. Phys., vol. 159, no. 2, pp. 213-230, Apr. 2000.
25. P. N. Swarztrauber, "On the spectral approximation of discrete scalar and vector functions on the sphere," SIAM J. Numer Anal., vol. 16, no. 6, pp. 934-949, Dec. 1979.
26. _, "Computing the points and weights for Gauss-Legendre quadrature," SIAM J. on Sci. Comp., vol. 24, no. 3, pp. 945-954, 2002.
27. J. R. Driscoll and D. M. Healy Jr., "Computing Fourier transforms and convolutions on the 2-sphere," Adv. App. Math, vol. 15, no. 2, pp. 202-250, 1994.
28. D. M. Healy Jr., D. Rockmore, P. Kostelec, and S. Moore, "FFTs for the 2-sphere-improvements and variations," J. of Fourier Anal. and App., vol. 9, no. 4, pp. 341-385, July 2003.
29. K. M. Górski, E. Hivon, A. L. Banday, B. D. Wandelt, F. K. Hansen, M. Reinecke, and M. Bartelmann, "HEALPix: A framework for high-resolution discretization and fast analysis of data distributed on the sphere," The Astrophysical Journal, vol. 622, pp. 759-771, Apr. 2005.
30. R. C. Hoover, A. A. Maciejewski, and R. G. Roberts, "An analysis of sphere tessellations for pose estimation of 3-D objects using spherically correlated images," in IEEE SSIAI, accepted to appear March 24-27, 2008.
31. K. Legaz, "Kator Legaz," http://www.katorlegaz.com/3d_models/ index.php, 2007.