Structure from two orthographic views of rigid motion

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 6, Issue 7, 1989, Pages 1052-1069

  Bennett, B M ^a   Hoffman, D D ^a   Nicola, J E ^a   Prakash, C ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b CALIFORNIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; DEPTH PERCEPTION; HUMAN; MATHEMATICS; MODEL; MOVEMENT PERCEPTION; ROTATION;

ALGORITHMS; DEPTH PERCEPTION; HUMAN; MATHEMATICS; MODELS, PSYCHOLOGICAL; MOTION PERCEPTION; ROTATION; SUPPORT, U.S. GOV'T, NON-P.H.S.;

EID: 0024697131     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.6.001052     Document Type: Article

References (25)

1. M. Braunstein, D. Hoffman, L. Shapiro, G. Andersen, and B. Bennett, “Minimum points and views for the recovery of three¬dimensional structure,” J. Exp. Psychol. 13, 335-343 (1987).
2. S. Ullman, The Interpretation of Visual Motion (MIT Press, Cambridge, Mass., 1979).
3. D. Hoffman and B. Bennett, “Inferring the relative three-di¬mensional positions of two moving points,” J. Opt. Soc. Am. A 2, 350-353 (1985).
4. D. Hoffman and B. Bennett, “The computation of structure from fixed-axis motion: rigid structures,” Biol. Cybern. 54, 71-83 (1986).
5. J. Webb and J. Aggarwal, “Structure from motion of rigid and jointed objects,” Artif. Intell. 19, 107-130 (1982).
6. D. Hoffman and B. Flinchbaugh, “The interpretation of biologi¬cal motion,” Biol. Cybern. 42, 197-204 (1982).
7. J. Koenderink and A. van Doom, “Depth and shape from differ¬ential perspective in the presence of bending deformations,” J. Opt. Soc. Am. A 3, 242-249 (1986).
8. B. Bennett and D. Hoffman, “The computation of structure from fixed-axis motion: nonrigid structures,” Biol. Cybern. 51, 293-300 (1985).
9. B. Green, “Figure coherence in the kinetic depth effect,” J. Exp. Psychol. 62, 272-282 (1961).
10. J. J. Gibson and E. J. Gibson, “Continuous perspective transfor¬mations and the perception of rigid motion,” J. Exp. Psychol. 54, 129-138 (1957).
11. C. Hay, “Optical motions and space perception—an extension of Gibson’s analysis,” Psychol. Rev. 73, 550-565 (1966).
12. H. Wallach and D. O’Connell, “The kinetic depth effect,” J. Exp. Psychol. 45, 205-217 (1953).
13. S. Ullman, “The interpretation of structure from motion,” Proc. R. Soc. London Ser. B 203, 405-426 (1979).
14. W. E. L. Grimson, “A computer implementation of a theory of human stereo vision,” Philos. Trans. R. Soc. London Ser. B 292, 217-253 (1980).
15. J. Koenderink and A. van Doom, “Geometry of binocular vision and a model for stereopsis,” Biol. Cybern. 21, 29-35 (1976).
16. H. C. Longuet-Higgins, “The role of the vertical dimension in stereoscopic vision,” Perception 11, 377-386 (1982).
17. D. Marr and T. Poggio, “A computational theory of human stereo vision,” Proc. R. Soc. London Ser. B 204, 301-328 (1979).
18. J. Mayhew, “The interpretation of stereo-disparity informa¬tion: the computation of surface orientation and depth,” Per¬ception 11, 387-403 (1982).
19. W. Richards, “Structure from stereo and motion,” Artifical In¬telligence Lab. Memo. 731 (Massachusetts Institute of Technol¬ogy, Cambridge, Mass., 1983).
20. T. Huang and C. Lee, “Motion and structure from orthographic projec¬tions,” IEEE Trans. Pattern Anal. Machine Intell. (to be pub¬lished)
21. S. Ullman, “Recent computational studies in the interpretation of structure from motion,” in Human and Ma¬chine Vision, J. Beck, B. Hope, and A. Rosenfeld, eds. (Academ¬ic, New York, 1986), pp. 459-480. Ullman’s result is for contin-uous time.
22. M. Braunstein, Department of Cognitive Science, University of California, Irvine, Irvine, California 92717 (personal communi¬cation, 1988).
23. B. Bennett, D. Hoffman, and C. Prakash, “Perception and com¬putation,” in Proceedings of the IEEE First International Con¬ference on Computer Vision, M. Brady, ed. (Institute of Electri¬cal and Electronics Engineers, New York, 1987), pp. 356-364.
24. B. Bennett, D. Hoffman, and C. Prakash, “New mathematical foundations for the field of perception,” submitted to Behav. Brain Sci.
25. B. Bennett, D. Hoffman, and C. Prakash, Observer Mechanics (Academic, New York, to be published).