Pose estimation and object identification using complex algebraic representations

Pattern Analysis and Applications

Volumn 1, Issue 3, 1998, Pages 178-188

  Unel, M ^a   Wolovich, W A ^a  

^a Brown University   (United States)

Author keywords

Absolute invariants; Complex representations; Euclidean transformations; Fourier descriptors; Implicit polynomial curves; Noisy and missing data sets; Object recognition and alignment; Pose estimation; Scatter matrix

Indexed keywords

EID: 22444451674     PISSN: 14337541     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01259367     Document Type: Article

References (24)

1. Taubin G, Cooper DB. 2D and 3D object recognition and positioning with algebraic invariants and covariants. Symbolic and Numerical Computation for Artificial Intelligence. Academic Press, 1992
2. Chaumette F, Boukir S, Bouthemy P, Juvin D. Structure from controlled motion. IEEE Trans. PAMI 1996; 18: 492-504
3. Horn BKP. Robot Vision. MIT Press, 1986
4. Bosch JA. Coordinate Measuring Machines and Systems. Marcel Dekker, 1995
5. Aichholzer O, Alt H, Rote G. Matching shapes with a reference point. International Journal of Computational Geometry and Applications 1997; 7(4): 349-363
6. Huttenlocher DP, Klanderman GA, Rucklidge WJ. Comparing images using the Hausdorff distance. IEEE Trans. PAMI 1993; 15: 850-863
7. Ballard DH, Brown CM. Computer Vision. Prentice Hall, 1982
8. Haralick RM, Joo H, Lee C, Zhuang X, Vaidya VG, Kim MB. Pose estimation from corresponding point data. IEEE Trans. PAMI 1989; 19: 1426-1446
9. Faugeras O. Three-Dimensional Computer Vision: A Geometric Viewpoint. MIT Press, 1993
10. Zahn CT, Roskies RZ. Fourier descriptors for plane closed curves. IEEE Trans. Computers 1972; 21: 269-281
11. Jain R, Kasturi R, Schunc BG. Machine Vision. McGraw-Hill, 1995
12. Lestrel PE. Fourier Descriptors and Their Applications in Biology. Cambridge University Press, 1997
13. Ponce J, Kriegman D, Petitjean S, Sullivan S, Taubin G, Vijayakumar B. Representations and algorithms for 3D curved object recognition. In Three-Dimensional Object Recognition Systems, Jain A, Flynn P. (eds), Elsevier, 1993; 327-352
14. Lei Z. Implicit polynomial shape modeling and recognition, and application to image/video databases. PhD Dissertation, Division of Engineering, Brown University, Providence, RI, May 1997
15. Unel M, Wolovich WA. Complex representations of algebraic curves. Brown University, Division of Engineering, Technical Report LEMS-168, October 1997
16. Wolovich WA, Unel M. The determination of implicit polynomial canonical curves. IEEE Trans. PAMI, October, 1998; 20: 1080-89
17. Wolovich WA, Unel M. Vision-based system identification and state estimation. The Confluence of Vision and Control, Springer-Verlag, 1998 (to appear)
18. Lei Z, Blane MM, Cooper DB. 3L fitting of higher degree implicit polynomials. Third IEEE Workshop on Applications of Computer Vision, Sarasota, FL, December 1996
19. Keren D, Cooper D, Suhrahmonia J. Describing complicated objects by implicit polynomials. IEEE Trans. PAMI 1994; 16: 38-53
20. Sirovich L. Introduction to Applied Mathematics. Springer-Verlag, 1988
21. Taubin G, Cukierman F, Sullivan S, Ponce J, Kriegman DJ. Parameterized families of polynomials for bounded algebraic curve and surface fitting. IEEE Trans. PAMI March 1994
22. Mundy JL, Zisserman A. Geometric Invariance in Computer Vision. MIT Press, 1992
23. th ACM Symposium on Computational Geometry. Nice, France June 4-6 1997
24. th ACM Symposium on Computational Geometry. Nice, France June 4-6 1997