Estimates of shape by eye, or, the little invariant that could

Acta Psychologica

Volumn 100, Issue 3, 1999, Pages 291-320

  Niall, Keith K ^a,b  

^a AIR FORCE RESEARCH LABORATORY   (United States)

^b NONE   (Canada)

Author keywords

Form and shape perception; Linear perspective; Mathematical psychology; Perceptual measures; Visual acuity; Visual perception

Indexed keywords

ANALYSIS OF VARIANCE; ARTICLE; CLINICAL TRIAL; CONTROLLED CLINICAL TRIAL; CONTROLLED STUDY; DEPTH PERCEPTION; FEMALE; HUMAN; MALE; PATTERN RECOGNITION; RANDOMIZED CONTROLLED TRIAL; REGRESSION ANALYSIS; VISUAL ACUITY;

ANALYSIS OF VARIANCE; FEMALE; FORM PERCEPTION; HUMANS; MALE; REGRESSION ANALYSIS; SPACE PERCEPTION; VISUAL ACUITY;

EID: 0032607593     PISSN: 00016918     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0001-6918(98)00042-0     Document Type: Article

References (28)

1. Austin, J., 1962. Sense and Sensibilia. Clarendon Press, Oxford.
2. Brunswik, E., 1934. Wahrnehmung und Gegenstandswelt: Grundlegung einer Psychologie vom Gegenstand her. Franz Deuticke, Leipzig.
3. Cassirer, E., 1944. The concept of group and the theory of perception. Philosophy and Phenomenological Research 5 (1), 1-35.
4. Collins, R.T., 1997. Reply to Pizlo, Rosenfeld, and Weiss. Computer Vision and Image Understanding 65 (3), 434-435.
5. Condillac, pseud. Étienne Bonnot, Abbé de Condillac, 1984. Réponse à un reproche qui m'a été fait sur le projet exécuté dans le Traité des Sensations. Traité des Sensations. Tours: Librairie Arthème Fayard (Traité originally published in 1754).
6. Cutting, J.E., 1986. Perception with an Eye for Motion. MIT Press, Cambridge, MA.
7. Farin, G.E., 1995. NURB Curves and Surfaces: from Projective Geometry to Practical Use. A.K. Peters, Wellesley, MA.
8. Foster, D.H., Wagemans, J., 1993. Viewpoint-invariant Weber fractions and standard contour-curvature discrimination. Biological Cybernetics 70, 29-36.
9. Gibson, J.J., 1979. The Ecological Approach to Visual Perception. Houghton Mifflin, Boston, MA.
10. Heisterkamp, D.R., Bhattacharya, P., 1997. Invariants of families of coplanar conies and their application to object recognition. Journal of Mathematical Imaging and Vision 7, 253-267.
11. Herman, I., 1989. On the projective invariant representation of conies in computer graphics. Computer Graphics Forum 8, 301-314.
12. Julesz, B., 1971. Foundations of Cyclopean Perception. University of Chicago Press, Chicago.
13. Kendall, M., 1976. Time-Series, second edition. Hafner Press, New York.
14. Kukkonen, H.T., Foster, D.H., Wood, J.R., Wagemans, J., Van Gool, L., 1996. Qualitative cues in the discrimination of affine-transformed minimal patterns. Perception 25 (2), 195-206.
15. Mundy, J.L., Zisserman, A. (Eds.), 1992. Geometric Invariance in Computer Vision. MIT Press, Cambridge, MA.
16. Niall, K.K., 1987. Perspectives yet unseen. Journal of Mathematical Psychology 31, 429-438.
17. Niall, K.K., 1992. Projective invariance and the kinetic depth effect. Acta Psychologica 81, 127-168.
18. Niall, K.K., Macnamara, J., 1989. Projective invariance and visual shape constancy. Acta Psychologica 72, 65-79.
19. Niall, K.K., Macnamara, J., 1990. Projective invariance and picture perception. Perception 19, 637-660.
20. Norman, J.F., Todd, J.T., Perotti, V.J., Tittle, J.S., 1996. The visual perception of three-dimensional length. Journal of Experimental Psychology: Human Perception and Performance 22 (1), 173-186.
21. Quan, L., 1995. Algebraic and geometric invariant of a pair of non-coplanar conies in space. Journal of Mathematical Imaging and Vision 5, 263-267.
22. Thouless, R.H., 1931a. Phenomenal regression to the 'real' object. I. British Journal of Psychology 21 (4), 339-359.
23. Thouless, R.H., 1931b. Phenomenal regression to the 'real' object. II. British Journal of Psychology 22 (1), 1-30.
24. Van Gool, L.J., Moons, T., Pauwels, E., Wagemans, J., 1994. Invariance from the Euclidean geometer's perspective. Perception 23, 547-561.
25. Wagemans, J., Vanden Bossche, P., Segers, N., d'Ydewalle, G., 1994. An affine group model and the perception of orthographically projected planar random polygons. Journal of Mathematical Psychology 38 (1), 59-72.
26. Weiss, I., 1992. Noise resistant projective and affine invariants. In: Applications of Invariance in Computer Vision: Proceedings of the Joint DARPA-ESPRIT Workshop, Reykjavik, Iceland; 25-28 March 1991, pp. 683-692.
27. Weiss, I., 1993. Geometric invariants and object recognition. International Journal of Computer Vision 10 (3), 207-231.
28. Wilczynski, E.J., 1906. Projective Differential Geometry of Curves and Ruled Surfaces. Teubner, Leipzig.