Using relational structure to detect symmetry: A Voronoi tessellation based model of symmetry perception

Acta Psychologica

Volumn 128, Issue 1, 2008, Pages 75-90

  Dry, Matthew J ^a  

^a UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Bayesian model selection; Modeling; Relational structure; Symmetry

Indexed keywords

ARTICLE; BAYES THEOREM; COMPARATIVE STUDY; HUMAN; PATTERN RECOGNITION; PHYSIOLOGY; PSYCHOLOGICAL MODEL; PSYCHOPHYSICS; VISION;

BAYES THEOREM; HUMANS; MODELS, PSYCHOLOGICAL; PATTERN RECOGNITION, VISUAL; PSYCHOPHYSICS; VISUAL PERCEPTION;

EID: 41949140741     PISSN: 00016918     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actpsy.2007.10.001     Document Type: Article

References (87)

1. Ahuja N. Dot pattern processing using Voronoi neighborhoods. IEEE Transactions on Pattern Analysis and Machine Intelligence 4 (1982) 336-343
2. Ahuja N., and Tuceryan M. Extraction of early perceptual structure in dot patterns - Integrating region, boundary, and component Gestalt. Computer Vision Graphics and Image Processing 48 (1989) 304-356
3. Barlow H., and Reeves B.C. The versatility and absolute efficiency of detecting mirror symmetry in random dot displays. Vision Research 19 (1979) 783-793
4. Barrett B.T., Whitaker D., McGraw P.V., and Herbert A.M. Discriminating mirror symmetry in foveal and extra-foveal vision. Vision Research 39 (1999) 3737-3744
5. Blum H. Biological shape and visual science. Journal of Theoretical Biology 38 (1973) 205-287
6. Burbeck C.A., and Pizer S.M. Object representation by cores: Identifying and representing primitive spatial regions. Vision Research 35 (1995) 1917-1930
7. Burbeck C.A., Pizer S.M., Morse B.S., and Ariely D. Linking object boundaries at scale: A common mechanism for size and shape judgments. Vision Research 36 (1996) 361-372
8. Caelli T.M. Some psychophysical determinants of discrete moiré patterns. Biological Cybernetics 39 (1981) 97-103
9. Caelli T.M., and Julesz B. On perceptual analyzers underlying visual texture discrimination: Part 1. Biological Cybernetics 28 (1978) 167-175
10. Campbell F.W., and Robson J.G. Application of Fourier analysis to the visibility of gratings. Journal of Physiology 197 (1968) 551-566
11. Carlin B.P., Kass R.E., Lerch F.J., and Hugenard B.R. Predicting working memory failure: A subjective Bayesian approach to model selection. Journal of the American Statistical Association 87 (1992) 319-327
12. Dakin S.C., and Herbert A.M. The spatial region of integration for visual symmetry detection. Proceedings of the Royal Society of London Series B-Biological Sciences 265 (1998) 2455
13. Dakin S.C., and Hess R.F. The spatial mechanisms mediating symmetry perception. Vision Research 37 (1997) 2915-2930
14. Dakin S.C., and Watt R.J. Detection of bilateral symmetry using spatial filters. Spatial Vision 8 (1994) 393-413
15. Driver J., Baylis G.C., and Rafal R.D. Preserved figure-ground segregation and symmetry in visual neglect. Nature 360 (1992) 73-75
16. Dry, M.J. (2007). Comparing models of symmetry perception. Unpublished doctoral thesis, University of Adelaide, Adelaide.
17. Dry M.J., Lee M.D., Vickers D., and Hughes P. Human performance on visually presented traveling salesperson problems with varying numbers of nodes. Journal of Problem Solving 1 (2006) 20-32
18. Dry M.J., Vickers D., and Hughes P. Using nearest neighbour analysis to detect structure in Glass patterns. Australian Journal of Psychology 55 (2003) 78
19. Earle D.C. Some observations on the perception of Marroquin patterns. Perception 20 (1991) 727-731
20. Fabbri R., Estrozi L.F., and Costa L.F. On Voronoi diagrams and medial axes. Journal of Mathematical Imaging and Vision 17 (2002) 27-40
21. Gabriel K.R., and Sokal R.R. A new statistical approach to geographic variation analysis. Systematic Zoology 18 (1969) 259-278
22. Glass L. Moiré effect from random dots. Nature 223 (1969) 578-580
23. Green D.M., and Swets J.A. Signal detection theory and psychophysics (1966), John Wiley and Sons, New York
24. Gurnsey R., Herbert A.M., and Kenemy J. Bilateral symmetry embedded in noise is detected accurately only at fixation. Vision Research 38 (1998) 3795-3803
25. Hubel D.H., and Wiesel T.N. Receptive fields, binocular interaction, and functional architecture in the cat's striate cortex. Journal of Physiology 160 (1962) 106-154
26. Hubel D.H., and Wiesel T.N. Receptive fields and functional architecture of monkey striate cortex. Journal of Physiology 195 (1968) 215-243
27. Jacobs A.M., and Grainger J. Models of visual word recognition- Sampling the state of the art. Journal of Experimental Psychology: Human Perception and Performance 20 (1994) 1311-1334
28. Jarvis R.A. Clustering using a similarity based on nearest neighbours: Visual image experiments. In: O'Callaghan J.F. (Ed). Pictorial organisation and shape (1972), CSIRO Division of Computing Research, Canberra 90-97
29. Jeffreys H. Theory of probability (1961), Oxford University Press, Oxford, UK
30. Jenkins B. Redundancy in the perception of bilateral symmetry in dot textures. Perception & Psychophysics 32 (1982) 171-177
31. Jenkins B. Component processes in the perception of bilaterally symmetric dot textures. Perception & Psychophysics 34 (1983) 433-440
32. Julesz B. Foundations of cyclopean perception (1971), University of Chicago Press, Chicago
33. Kass R.E., and Raftery A.E. Bayes factors. Journal of the American Statistical Association 90 (1995) 773-796
34. Koffka K. Principles of Gestalt psychology (1935), Harcourt, New York
35. Köhler W. Gestalt Psychology (1929), Liveright, New York
36. Kovacs I., Feher A., and Julesz B. Medial-point description of shape: A representation for action coding and its psychophysical correlates. Vision Research 38 (1998) 2323-2333
37. Kovacs I., and Julesz B. A closed curve is much more than an incomplete one. Proceedings of the National Academy of Sciences 90 (1993) 7495-7497
38. Kovacs I., and Julesz B. Perceptual sensitivity maps within globally defined shapes. Nature 370 (1994) 644-646
39. Kuffler S.W. Discharge patterns and functional organization of mammalian retina. Journal of Neurophysiology 16 (1953) 37-68
40. Lee M.D. A Bayesian analysis of retention functions. Journal of Mathematical Psychology 48 (2004) 310-321
41. Lee M.D., and Webb M.R. Modeling individual difference in cognition. Psychonomic Bulletin & Review 12 (2005) 605-621
42. Lee T.S., Mumford D., Romero R., and Lamme V.A.F. The role of the primary cortex in higher level vision. Vision Research 38 (1998) 2429-2454
43. MacGregor J.N., and Ormerod T. Human performance on the traveling salesman problem. Perception & Psychophysics 58 (1996) 527-539
44. Marr, D. (1982). Vision. San Francisco: W.H. Freeman and Company.
45. Marroquin, J.L. (1976). Human visual perception of structure. Unpublished M.S. thesis, MIT.
46. Moore D.J.H., and Parker D.J. Analysis of global pattern features. Pattern Recognition 6 (1974) 149-164
47. Myung I.J., Karabatsos G., and Iverson G.J. A Bayesian approach to testing decision making axioms. Journal of Mathematical Psychology 49 (2005) 205-225
48. Myung I.J., and Pitt M.A. Applying Occams razor in modelling cognition: A Bayesian approach. Psychonomic Bulletin and Review 4 (1997) 79-95
49. Navarro D.J., and Lee M.D. Common and distinctive features in stimulus representation: A modified version of the contrast model. Psychonomic Bulletin & Review 11 (2004) 961-974
50. Oka S., van Tonder G.J., and Ejima Y. A VEP study on visual processing of figural geometry. Vision Research 41 (2001) 3791-3803
51. Osorio D. Symmetry detection by categorization of spatial phase, a model. Proceedings of the Royal Society of London Series B-Biological Sciences 263 (1996) 105-110
52. Palmer S.E., and Hemenway K. Orientation and symmetry: Effects of multiple, rotational, and near symmetry. Journal of Experimental Psychology: Human Perception and Performance 4 (1978) 691-702
53. Pashler H. Coordinate frame for symmetry detection and object recognition. Journal of Experimental Psychology: Human Perception and Performance 16 (1990) 150-163
54. Pitt M.A., and Myung I.J. When a good fit can be bad. Trends in Cognitive Sciences 6 (2002) 421-425
55. Pomerantz J.R. Perceptual organization in information processing. In: Kubovy M., and Pomerantz J.R. (Eds). Perceptual organization (1981), Lawrence Erlbaum, NJ 141-180
56. Rainville S.J.M., and Kingdom F.A.A. Spatial scale contribution to the detection of mirror symmetry in fractal noise. Journal of the Optical Society of America A 16 (1999) 2112-2123
57. Rainville S.J.M., and Kingdom F.A.A. The functional role of oriented spatial filters in the perception of mirror symmetry - Psychophysics and modeling. Vision Research 40 (2000) 2621-2644
58. Rainville S.J.M., and Kingdom F.A.A. Scale invariance is driven by stimulus density. Vision Research 42 (2002) 351-367
59. Roberts S., and Pashler H. How persuasive is a good fit? A comment on theory testing. Psychological Review 107 (2000) 358-367
60. Rouder J.N., Lu J., Speckman P., Sun D.H., and Jiang Y. A hierarchical model for estimating response time distributions. Psychonomic Bulletin & Review 12 (2005) 195-223
61. Sally S., and Gurnsey R. Symmetry detection across the visual field. Spatial Vision 14 (2001) 217-234
62. Scognamillo R., Rhodes G., Morrone C., and Burr D.C. A feature-based model of symmetry detection. Proceedings of the Royal Society of London B 27-0 (2003) 1723-1733
63. Siddiqi K., Kimia B.B., Tannenbaum A., and Zucker S.W. On the psychophysics of the shape triangle. Vision Research 41 (2001) 1153-1178
64. Smits J.T.S., and Vos P.G. A model for the perception of curves in dot figures: The role of local salience of "virtual lines". Biological Cybernetics 54 (1986) 407-416
65. Stevens K.A. Computation of locally parallel structure. Biological Cybernetics 29 (1978) 19-28
66. Stevens K.A., and Brookes A. Detecting structure by symbolic constructions of tokens. Computer Vision, Graphics, and Image Processing 37 (1987) 238-260
67. Tjan B.S., and Liu Z. Symmetry impedes symmetry discrimination. Journal of Vision 5 (2005) 888-900
68. Toussaint G.T. The relative neighborhood graph of a finite planar set. Pattern Recognition 12 (1980) 261-268
69. Tyler C.W., Hardage L., and Miller R.T. Multiple mechanisms for the detection of mirror symmetry. Spatial Vision 9 (1995) 79-100
70. Uttal W.R. On some two-way barriers between models and mechanisms. Perception & Psychophysics 48 (1990) 188-203
71. van der Helm P.A., and Leeuwenberg E.L.J. Goodness of visual regularities: A nontransformational approach. Psychological Review 103 (1996) 429-456
72. van der Helm P.A., and Leeuwenberg E.L.J. A better approach to goodness: Reply to Wagemans (1999). Psychological Review 106 (1999) 622-630
73. van der Vloed G., Csathó A., and van der Helm P.A. Symmetry and repetition in perspetive. Acta Psychologica 120 (2005) 74-92
74. Vickers D., Lee M.D., Dry M.J., and Hughes P. The roles of the convex hull and the number of potential intersections in performance on visually presented traveling salesperson problems. Memory & Cognition 31 (2003) 1094-1104
75. Vickers D., Mayo T., Heitmann M., Lee M.D., and Hughes P. Intelligence and individual differences in performance on three types of visually presented optimisation problems. Personality and Individual Differences 36 (2004) 1059-1071
76. Wagemans J. Detection of visual symmetries. Spatial Vision 9 (1995) 9-32
77. Wagemans J. Characteristics and models of human symmetry detection. Trends in Cognitive Sciences 1 (1997) 346-352
78. Wagemans J., Van Gool L., and d'Ydewalle G. Visual search in dot-patterns with bilateral and skewed symmetry. In: Brogan D. (Ed). Visual search (1990), Taylor & Francis, London 99-114
79. Wagemans J., Van Gool L., and d'Ydewalle G. Detection of symmetry in tachiscopically presented dot patterns: Effects of multiple axes and skewing. Perception & Psychophysics 50 (1991) 413-427
80. Wagemans J., Van Gool L., and d'Ydewalle G. Orientational effects and component processes in symmetry detection. Quarterly Journal of Experimental Psychology Section a-Human Experimental Psychology 44 (1992) 475-508
81. Wagemans J., Van Gool L., Swinnen V., and Van Horebeek J. Higher-order structure in regularity detection. Vision Research 33 (1993) 1067-1088
82. Watt R.J. Understanding vision (1991), Academic Press, London
83. Wenderoth P. The salience of vertical symmetry. Perception 23 (1994) 221-236
84. Wenderoth P. The effects of the contrast polarity of dot-pair partners on the detection of bilateral symmetry. Perception 25 (1996) 757-771
85. Wenderoth P. The effects on bilateral-symmetry detection of multiple symmetry, near symmetry, and axis orientation. Perception 26 (1997) 891-904
86. Wertheimer M. Laws of organization in perceptual forms. In: Ellis W. (Ed). A source book of Gestalt psychology (1938), Harcourt, New York
87. Zahn C. Graph-theoretical methods for detecting and describing Gestalt structures. IEEE Transactions on Systems, Man and Cybernetics 20 (1971) 68-86