Model-based brightness constraints: on direct estimation of structure and motion

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 22, Issue 9, 2000, Pages 992-1015

  Stein, Gideon P ^a   Shashua, Amnon ^a  

^a MobilEye Vision Technologies   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; CAMERAS; COMPUTATIONAL GEOMETRY; CONSTRAINT THEORY; ESTIMATION; IMAGE RECONSTRUCTION; MATHEMATICAL MODELS; OPTICAL FLOWS; TENSORS; THREE DIMENSIONAL; TWO DIMENSIONAL;

IMAGE SEQUENCE ANALYSIS; MODEL BASED BRIGHTNESS CONSTRAINT; SHAPE RECOVERY; SHAPE REPRESENTATION;

IMAGE ANALYSIS;

EID: 0034264717     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/34.877522     Document Type: Article

References (50)

1. A. Azarbayejani and A.P. Pentland, "Recursive Estimation of Motion, Structure, and Focal Length." IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 17, no. 6, pp. 562-575, June 1995.
2. J.R. Bergen, P. Anandan, K.J. Hanna, and R. Hingorani, "Hierarchical Model-Based Motion Estimation," Proc. European CoJ. Computer Vision, June 1992.
3. J. Bergen and R. Hingorani, "Hierarchical Motion-Based Frame Rate Conversion," technical report, David Sarnoff Research Center, 1990.
4. P.J. Burt and E.H. Adelson, "The Laplacian Pyramid as a Compact Image Code," IEEE Trans. Comm., vol. 31, pp. 532-540, 1983.
5. R. Deriche and G. Giraudon, "Accurate Corner Detection: An Analytical Study," Proc. Int'l Conf. Computer Vision," pp.66-70, Dec. 1990.
6. R. Dutta and M. Snyder, "Robustness of Correspondence-Based Structure from Motion," Proc. Int'l Conf. Computer Vision, pp. 106-110, Dec. 1990.
7. O. Faugeras and T. Papadopoulo, "A Nonlinear Method for Estimating the Projective Geometry of Three Views." Proc. Int'l Conf. Computer Vision '98, Jan. 1998.
8. O.D. Faugeras, Three Dimensional Computer Vision: A Geometric Viewpoint. Cambridge, Mass.: MIT Press, 1993.
9. O.D. Faugeras and B. Mourrain, "On the Geometry and Algebra of the Point and Line Correspondences between N Images," Proc. Int'l Conf. Computer Vision, pp. 951-956, June 1995.
10. C. Fermuller and Y. Aloimonos, "Global Rigidity Constraints in Image Displacement Fields," Proc. Int'l Conf. Computer Vision, June .
11. [II] C. Fermuller and Y. Aloimonos, "The Confounding of Translation and Rotation in Reconstruction from Multiple Views," Proc. Conf. Computer Vision and Pattern Recognition, June .
12. C. Fermuller and Y. Aloimonos, "On the Geometry of Visual Correspondence," Int'l J.Computer Vision, vol. 21, no. 3, pp. 223-47, Feb. 1997.
13. R. Hartley, "A Linear Method for Reconstruction from Lines and Points," Proc. Int'l Conf. Computer Vision, June .
14. D.J. Heeger and A. Jepson, "Simple Method for Computing 3D Motion and Depth," Proc. Int'l Conf. Computer Vision, pp. 96-100, Dec. 1990.
15. J. Heel, "Direct Estimation of Structure and Motion from Multiple Frames," AI Memo 1,190, Artificial Intelligence Laboratory, Massachusetts Inst. Technology, Mar. 1990.
16. A. Heyden, "Reconstruction from Image Sequences by Means of Relative Depths," Proc. Int'l Conf. Computer Vision, pp. 1,058-1,063, June 1995.
17. B.K.P. Horn and B.C. Schunk, "Determining Optical Flow," Artificial Intelligence, vol. 17, pp. 185-203, 1981.
18. B.K.P. Horn, E.J. Weldon Jr., "Direct Methods for Recovering Motion," Int'l J. Computer Vision, vol. 2, pp. 51-76, 1988.
19. M. Irani, B. Rousso, and S. Peleg, "Recovery of Ego-Motion Using Image Stabilization," Proc. Conf. Computer Vision and Pattern Recognition, pp. 454-460, June 1994.
20. R. Kumar and P. Anandan, "Direct Recovery of Shape from Multiple Views: A Parallax-Based Approach," Proc. Int'l Conf. Pattern Recognition, Oct.1994.
21. H. Longuet-Higgins and K. Prazdny, "The Interpretation of a Moving Retinal Image," Proc. Royal Soc. London B, vol. 208, pp. 385-397, 1980.
22. B. Lucas and T. Kanade, "An Iterative Image Registration Technique with an Application to Stereo Vision," Proc. Int'l Joint Conf. Artifical Intelligence, pp. 674-679, 1981.
23. I.S. McQuirk, "An Analog VLSI Chip for Estimating the Focus of Expansion," Artifical Intelligence technical report 1,577, Masse-chusetts Inst. Technology, 1996.
24. D. Michaels, "Exploiting Continuity-Ln-Time in Motion Vision," PhD thesis, Dept. Electrical Eng. and Computer Science, Massachusetts Inst. Technology, May 1992.
25. J.J. More, B.S. Garbow, and K.E. Hillstrom, "User Guide for Minpack-1," technical report ANL-80-74, Argonne Nat'1 Labora-tory, Argonne, 111., Aug. 1980.
26. H. . Nagel, "Direct Estimation of Optical Flow and of Its Derivates," Artificial and Biological Vision Systems, G.A. Orban and H.H. Nagel, eds., pp. 193-224, Springer-Verlag, 1992.
27. S. Negahdaripour and B.K.P. Horn, "Direct Passive Navigation," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 9, no. 1, pp. 168-176, 1987.
28. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery, Numerical Recipes in C: The Art of Scientific Computing. Cambridge Univ. Press, second ed., 1992.
29. J. Reiger and D.T. Lawton, "Processing Differential Image Motion," J. Optical Soc. Am., vol. 2, pp. 354-359, 1985.
30. H. Sawhney, "3D Geometry from Planar Parallax," Proc. Conf. Computer Vision and Pattern Recognition, pp. 929-934, June 1994.
31. A. Shashua, "Algebraic Functions for Recognition"/EEE Trans. Pattern Analysis and Machine Intelligence, vol. 17, no. 8, pp. 779-789, Aug. 1995.
32. A. Shashua and S. Avidan, "The Rank4 Constraint in Multiple View Geometry," Proc. European Conf. Computer Vision, Apr. 1996.
33. A. Shashua and N. Navab, "Relative Affine Structure: Theory and Application to 3D Reconstruction from Perspective Views," Proc. Conf. Computer Vision and Pattern Recognition, pp. 483-489, 1994.
34. A. Shashua and N. Navab, "Relative Affine Structure: Canonical Model for 3D from 2D Geometry and Applications," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 18, no. 9, pp. 873-883, Sept. 1996.
35. A. Shashua and P. Anandan, "Trilinear Constraints Revisited: Generalized Trilinear Constraints and the Tensor Brightness Constraint," Proc. ARPA Image Understanding Workshop, Feb. 1996.
36. A. Shashua and K.J. Hanna, "The Tensor Brightness Constraints: Direct Estimation of Motion Revisited," technical report, Tech-nion, Haifa, Israel, Nov. 1995.
37. A. Shashua and M. Werman, "Trilinearity of Three Perspective Views and Its Associated Tensor," Proc. Int'l Conf. Computer Vision, pp. 920-925, June 1995.
38. S. Soatto and P. Perona, "Motion from Fixation," Proc. Conf. Computer Vision and Pattern Recognition, pp. 817-824, June 1996.
39. M. Spetsakis and J. Aloimonos, "A Unified Theory of Structure from Motion," Proc. ARPA Image Understanding Workshop, 19.
40. G.P. Stein, "Internal Camera Calibration Using Rotation and Geometric Shapes," master's thesis, Massachusetts Inst. Technology, Cambridge, Mass., 1993.
41. G.P. Stein, "Lens Distortion Calibration Using Point Correspondences," Proc. Conf. Computer Vision and Pattern Recognition, June .
42. G.P. Stein, "Geometric and Photometric Constraints: Motion and Structure from Three Views," PhD thesis, MIT Artificial Intelligence Laboratory, Feb. 1998.
43. G.P. Stein and A. Shashua, "Model-Based Brightness Constraints: On Direct Estimation of Structure and Motion" Proc. Conf. Computer Vision and Pattern Recognition, June 1997.
44. G.P. Stein and A. Shashua, "On Degeneracy of Linear Reconstruc-tion from Three Views: Linear Line Complex and Applications," Proc. European Conf. Computer Vision, June .
45. R. Szeliski and S.B. Kang, "Direct Methods for Visual Scene Reconstruction," Proc. IEEE Workshop Representation of Visual Scenes, June .
46. T.Y. Tian, C. Tomasi, and D.J. Heeger, "Comparison of Approaches to Egomotion Computation," Proc. Conf. Computer Vision and Pattern Recognition, pp. 315-320, June 1996.
47. C. Tomasi and T. Kanade, Shape and Motion from Image Streams-A Factorization Method," Int'l J. Computer Vision, vol. 9, no. 2, pp. 137-154, 1992.
48. B. Triggs, "Matching Constraints and the Joint Image," Proc. Int'l Conf. Computer Vision, pp. 338-343, June 1995.
49. J. Weng, N. Ahuja, and T. Huang, "Two View Matching," Proc. Conf. Computer Vision and Pattern Recognition, pp. 64-73, Dec. 1989.
50. G. Wolberg, Digital Image Warping. Los Alamitos, Calif.: IEEE Computer Soc. Press, 1990.