Functional Equations in Binocular Space Perception

Journal of Mathematical Psychology

Volumn 43, Issue 1, 1999, Pages 71-101

  Aczél, János ^b   Boros, Zoltán ^b   Heller, Jürgen ^a   Ng, Che Tat ^b  

^a UNIVERSITY OF REGENSBURG   (Germany)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345614278     PISSN: 00222496     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmps.1998.1224     Document Type: Article

References (27)

1. Aczél, J. (1966). Lectures on functional equations and their applications. New York: Academic Press.
2. Aczél, J. (1987). A short course on functional equations based upon recent applications to the social and behavioral sciences. Dordrecht/Boston: Reidel/Kluwer Academic.
3. Blank, A. A. (1978). Metric geometry in human binocular perception: Theory and fact. In E. L. J. Leeuwenberg & H. F. J. M. Buffart (Eds.), Formal theories of visual perception (pp. 83-102). New York: Wiley.
4. Blumenfeld, W. (1913). Untersuchungen über die scheinbare Größe im Sehraume. Zeitschrift für Psychologie, 65, 241-404.
5. Falmagne, J.-C. (1985). Elements of psychophysical theory. New York: Oxford Univ. Press.
6. Foley, J. M. (1966). Locus of perceived equidistance as a function of viewing distance. Journal of the Optical Society of America, 56, 822-827.
7. Foley, J. M. (1972). The size-distance relation and intrinsic geometry of visual space: Implications for processing. Vision Research, 12, 323-332.
8. Foley, J. M. (1980). Binocular distance perception. Psychological Review, 87, 411-343.
9. Foley, J. M. (1991). Binocular space perception. In D. Regan & J. R. Cronly-Dillon (Eds.), Binocular vision. Vision and visual dysfunction (Vol. 9, pp. 75-92). Barsingstoke: Macmillan.
10. Hardy, L. H., Rand, G., Rittler, M. C., Blank, A. A., & Boeder, P. (1953). The geometry of binocular space perception. New York: Knapp Memorial Laboratories.
11. Heller, J. (1997). On the psychophysics of binocular space perception. Journal of Mathematical Psychology, 41, 29-43.
12. Helmholtz, H. v. (1867). Handbuch der physiologischen Optik (1st ed.). Leipzig: Voss.
13. Hillebrand, F. (1902). Theorie der scheinbaren Größe beim binokularen Sehen. Denkschrift der kaiserlichen Akademie der Wissenschaften Wien mathematisch-naturwissenschaftliche Classe, 72, 255-307.
14. Howard, I. P., & Rogers, B. J. (1995). Binocular vision and stereopsis. New York: Oxford Univ. Press.
15. Indow, T., Inoue, E., & Matsushima, K. (1962a). An experimental study of the Luneburg theory of binocular space perception: 1. The 3- and 4-point experiments. Japanese Psychological Research, 4, 6-16.
16. Indow, T., Inoue, E., & Matsushima, K. (1962b). An experimental study of the Luneburg theory of binocular space perception: 2. The alley experiments. Japanese Psychological Research, 4, 17-24.
17. Indow, T., Inoue, E., & Matsushima, K. (1963). An experimental study of the Luneburg theory of binocular space perception: 3. The experiments in spacious field. Japanese Psychological Research, 5, 1-27.
18. Julesz, B. (1971). Foundations of cyclopian perception. Chicago: Univ. of Chicago Press.
19. Krantz, D. H., Luce, R. D., Suppes, P., & Tversky, A. (1971). Foundations of measurement (Vol. 1). New York: Academic Press.
20. Krol, J. D., & van de Grind, W. (1980). The double-nail illusion: Experiments on binocular vision with nails, needles, and pins. Perception, 9, 651-669.
21. Luneburg, R. K. (1947). Mathematical analysis of binocular vision. Princeton: Princeton Univ. Press.
22. Narens, L. (1985). Abstract measurement theory. Cambridge: MIT Press.
23. n)]. Annales Polonici Mathematici, 27, 329-336.
24. Radó, F., & Baker, J. A. (1987). Pexider's equation and aggregation of allocations. Aequationes Mathematicae, 32, 227-239.
25. Wakker, P. (1991). Additive representations on rank-ordered sets: I. The algebraic approach. Journal of Mathematical Psychology, 35, 501-531.
26. Yamazaki, T. (1987). Non-Riemannian approach to geometry of visual space: An application of affinely connected geometry to visual alleys and horopter. Journal of Mathematical Psychology, 31, 270-298.
27. Zajaczkowska, A. (1956). Experimental determination of Luneburg's constants σ and K. Quarterly Journal of Experimental Psychology, 8, 66-78.