1. Barlow, H. B. & Reeves, B. C. The versatility and absolute efficiency of detecting mirror symmetry in random dot displays. Vision Res.19, 783–793 (1979).
2. Carmody, D. P., Nodine, C. F. & Locher, P. J. Global Detection of Symmetry. Percept. Mot. Skills45, 1267–1273 (1977).
3. Julesz, B. Figure and Ground Perception in Briefly Presented Isodipole Textures. in Perceptual Organisation 28 (Routledge, 2017). doi:10.4324/9781315512372-2.
4. Locher, P. J. & Wagemans, J. Effects of Element Type and Spatial Grouping on Symmetry Detection. Perception22, 565–587 (1993).
5. Marković, S. & Gvozdenovi, V. Symmetry, complexity and perceptual economy: Effects of minimum and maximum simplicity conditions. Vis. Cogn.8, 305–327 (2001).
6. Wagemans, J., Van Gool, L. & D’ydewalle, G. Detection of symmetry in tachistoscopically presented dot patterns: Effects of multiple axes and skewing. Percept. Psychophys.50, 413–427 (1991).
7. Wenderoth, P. The Salience of Vertical Symmetry. Perception23, 221–236 (1994).
8. Benard, J., Stach, S. & Giurfa, M. Categorization of visual stimuli in the honeybee Apis mellifera. Anim. Cogn.9, 257–270 (2006).
9. Delius, J. D. & Nowak, B. Visual symmetry recognition by pigeons. Psychol. Res.44, 199–212 (1982).
10. Grammer, K., Fink, B., Møller, A. P. & Thornhill, R. Darwinian aesthetics: sexual selection and the biology of beauty. Biol. Rev. Camb. Philos. Soc.78, 385–407 (2003).
11. Wagemans, J., Van Gool, L., Swinnen, V. & Van Horebeek, J. Higher-order structure in regularity detection. Vision Res.33, 1067–1088 (1993).
12. Jenkins, B. Component processes in the perception of bilaterally symmetric dot textures. Percept. Psychophys.34, 433–440 (1983).
13. Makin, A., Pecchinenda, A. & Bertamini, M. Grouping by Closure Influences Subjective Regularity and Implicit Preference. -Percept.3, 519–527 (2012).
14. Royer, F. L. Detection of symmetry. J. Exp. Psychol. Hum. Percept. Perform.7, 1186–1210 (1981).
15. Bertamini, M. Sensitivity to Reflection and Translation is Modulated by Objectness. Perception39, 27–40 (2010).
16. Feldman, J. Formation of visual “objects” in the early computation of spatial relations. Percept. Psychophys.69, 816–827 (2007).
17. Machilsen, B., Pauwels, M. & Wagemans, J. The role of vertical mirror symmetry in visual shape detection. J. Vis.9, 11–11 (2009).
18. Mojica, A. J. & Peterson, M. A. Display-wide influences on figure–ground perception: The case of symmetry. Atten. Percept. Psychophys.76, 1069–1084 (2014).
19. Treder, M. S. & van der Helm, P. A. Symmetry versus repetition in cyclopean vision: A microgenetic analysis. Vision Res.47, 2956–2967 (2007).
20. Dakin, S. C. & Hess, R. F. The spatial mechanisms mediating symmetry perception. Vision Res.37, 2915–2930 (1997).
21. Dakin, S. C. & Watt, R. J. Detection of bilateral symmetry using spatial filters. 21.
22. Garner, W. R. The processing of information and structure. xi, 203 (Lawrence Erlbaum, 1974).
23. Osorio, D. Symmetry detection by categorization of spatial phase, a model. Proc. R. Soc. Lond. B Biol. Sci.263, 105–110 (1996).
24. van der Helm, P. A. & Leeuwenberg, E. L. Goodness of visual regularities: a nontransformational approach. Psychol. Rev.103, 429–456 (1996).
25. Zhu, T. Neural processes in symmetry perception: a parallel spatio-temporal model. Biol. Cybern.108, 121–131 (2014).
26. Bertamini, M., Silvanto, J., Norcia, A. M., Makin, A. D. J. & Wagemans, J. The neural basis of visual symmetry and its role in mid- and high-level visual processing: Neural basis of visual symmetry. Ann. N. Y. Acad. Sci.1426, 111–126 (2018).
27. Cattaneo, Z. The neural basis of mirror symmetry detection: a review. J. Cogn. Psychol.29, 259–268 (2017).
28. Rhodes, G., Peters, M., Lee, K., Morrone, M. C. & Burr, D. Higher-level mechanisms detect facial symmetry. Proc. R. Soc. B Biol. Sci.272, 1379–1384 (2005).
29. Chen, S., Müller, H. J. & Conci, M. Amodal completion in visual working memory. J. Exp. Psychol. Hum. Percept. Perform.42, 1344–1353 (2016).
30. Keefe, B. D. et al. Emergence of symmetry selectivity in the visual areas of the human brain: fMRI responses to symmetry presented in both frontoparallel and slanted planes. Hum. Brain Mapp.39, 3813–3826 (2018).
31. Kohler, P. J., Clarke, A., Yakovleva, A., Liu, Y. & Norcia, A. M. Representation of Maximally Regular Textures in Human Visual Cortex. 16.
32. Sasaki, Y., Vanduffel, W., Knutsen, T., Tyler, C. & Tootell, R. Symmetry activates extrastriate visual cortex in human and nonhuman primates. Proc. Natl. Acad. Sci.102, 3159–3163 (2005).
33. Tyler, C. W. et al. Predominantly extra-retinotopic cortical response to pattern symmetry. NeuroImage24, 306–314 (2005).
34. Meel, C. V. The representation of symmetry in multi-voxel response patterns and functional connectivity throughout the ventral visual stream. 9 (2019).
35. Bona, S., Cattaneo, Z. & Silvanto, J. The causal role of the occipital face area (OFA) and lateral occipital (LO) cortex in symmetry perception. J. Neurosci. Off. J. Soc. Neurosci.35, 731–738 (2015).
36. Bona, S., Herbert, A., Toneatto, C., Silvanto, J. & Cattaneo, Z. The causal role of the lateral occipital complex in visual mirror symmetry detection and grouping: an fMRI-guided TMS study. Cortex J. Devoted Study Nerv. Syst. Behav.51, 46–55 (2014).
37. Wright, D., Mitchell, C., Dering, B. R. & Gheorghiu, E. Luminance-polarity distribution across the symmetry axis affects the electrophysiological response to symmetry. NeuroImage173, 484–497 (2018).
38. Martinovic, J., Jennings, B. J., Makin, A. D. J., Bertamini, M. & Angelescu, I. Symmetry perception for patterns defined by color and luminance. J. Vis.18, 4–4 (2018).
39. Makin, A. D. J. et al. An Electrophysiological Index of Perceptual Goodness. Cereb. Cortex26, 4416–4434 (2016).
40. Norcia, A. M., Candy, T. R., Pettet, M. W., Vildavski, V. Y. & Tyler, C. W. Temporal dynamics of the human response to symmetry. J. Vis.2, 1–1 (2002).
41. Höfel, L. & Jacobsen, T. Electrophysiological indices of processing aesthetics: Spontaneous or intentional processes? Int. J. Psychophysiol.65, 20–31 (2007).
42. Makin, A. D. J., Wilton, M. M., Pecchinenda, A. & Bertamini, M. Symmetry perception and affective responses: A combined EEG/EMG study. Neuropsychologia50, 3250–3261 (2012).
43. Bertamini, M., Rampone, G., Oulton, J., Tatlidil, S. & Makin, A. D. J. Sustained response to symmetry in extrastriate areas after stimulus offset: An EEG study. Sci. Rep.9, 4401 (2019).
44. Makin, A. D. J., Rampone, G., Morris, A. & Bertamini, M. The Formation of Symmetrical Gestalts Is Task-Independent, but Can Be Enhanced by Active Regularity Discrimination. J. Cogn. Neurosci.32, 353–366 (2020).
45. Palumbo, L., Bertamini, M. & Makin, A. Scaling of the extrastriate neural response to symmetry. Vision Res.117, 1–8 (2015).
46. Makin, A. D. J., Rampone, G. & Bertamini, M. Conditions for view invariance in the neural response to visual symmetry. Psychophysiology52, 532–543 (2015).
47. Rampone, G. Electrophysiological analysis of the affective congruence between pattern regularity and word valence. 11 (2014).
48. Makin, A. D. J., Rampone, G., Pecchinenda, A. & Bertamini, M. Electrophysiological responses to visuospatial regularity. Psychophysiology50, 1045–1055 (2013).
49. Rampone, G. & Makin, A. D. J. Electrophysiological responses to regularity show specificity to global form: The case of Glass patterns. Eur. J. Neurosci.52, 3032–3046 (2020).
50. Martinovic, J., Mordal, J. & Wuerger, S. M. Event-related potentials reveal an early advantage for luminance contours in the processing of objects. J. Vis.11, 1–1 (2011).
51. Rampone, G., Makin, A. D. J., Tatlidil, S. & Bertamini, M. Representation of symmetry in the extrastriate visual cortex from temporal integration of parts: An EEG/ERP study. NeuroImage193, 214–230 (2019).
52. Rampone, G., Makin, A. D. J., Tyson-Carr, J. & Bertamini, M. Spinning objects and partial occlusion: Smart neural responses to symmetry. Vision Res.188, 1–9 (2021).
53. Michotte, A., Thinès, G. & Crabbé, G. Les complements amodaux des structures perceptives (Amodal completion of perceptual structures). in Studia Psychologica. Publications Universitaires de Louvain (1964).
54. Thinés, G., Costall, A. & Butterworth, G. Michotte’s Experimental Phenomenology of Perception. (Routledge, 2013).
55. Kanizsa, G. Seeing and thinking. Acta Psychol. (Amst.)59, 23–33 (1985).
56. Thielen, J., Bosch, S. E., van Leeuwen, T. M., van Gerven, M. A. J. & van Lier, R. Neuroimaging Findings on Amodal Completion: A Review. -Percept.10, 204166951984004 (2019).
57. Lerner, Y., Hendler, T. & Malach, R. Object-completion Effects in the Human Lateral Occipital Complex. Cereb. Cortex12, 163–177 (2002).
58. Kellman, P. J. & Shipley, T. F. A theory of visual interpolation in object perception. Cognit. Psychol.23, 141–221 (1991).
59. Wouterlood, D. & Boselie, F. A good-continuation model of some occlusion phenomena. Psychol. Res.54, 267–277 (1992).
60. van Lier, R., van der Helm, P. & Leeuwenberg, E. Integrating Global and Local Aspects of Visual Occlusion. Perception23, 883–903 (1994).
61. Buffart, H., Leeuwenberg, E. & Restle, F. Coding theory of visual pattern completion. J. Exp. Psychol. Hum. Percept. Perform.7, 241–274 (1981).
62. van Lier, R. J., van der Helm, P. A. & Leeuwenberg, E. L. J. Competing global and local completions in visual occlusion. J. Exp. Psychol. Hum. Percept. Perform.21, 571–583 (1995).
63. van Lier, R. J., Leeuwenberg, E. L. J. & van der Helm, P. A. Multiple Completions Primed by Occlusion Patterns. Perception24, 727–740 (1995).
64. Bruno, N., Bertamini, M. & Domini, F. Amodal Completion of Partly Occluded Surfaces: Is There a Mosaic Stage? J. Exp. Psychol. Hum. Percept. Perform.23, 1412–26 (1997).
65. Sekuler, A. B., Palmer, S. E. & Flynn, C. Local and Global Processes in Visual Completion. Psychol. Sci.5, 260–267 (1994).
66. Sekuler, A. B. Local and Global Minima in Visual Completion: Effects of Symmetry and Orientation. Perception23, 529–545 (1994).
67. van Lier, R. & Wagemans, J. From images to objects: Global and local completions of self-occluded parts. J. Exp. Psychol. Hum. Percept. Perform.25, 1721–1741 (1999).
68. van Lier, R. Investigating global effects in visual occlusion: from a partly occluded square to the back of a tree-trunk. Acta Psychol. (Amst.)102, 203–220 (1999).
69. van Lier, R. Visuo-cognitive disambiguation of occluded shapes. Behav. Brain Sci.24, 1135–1136 (2001).
70. de Wit, T. C. J. & van Lier, R. J. Global visual completion of quasi-regular shapes. Perception31, 969–984 (2002).
71. Boselie, F. Local versus global minima in visual pattern completion. Percept. Psychophys.43, 431–445 (1988).
72. Hazenberg, S. J. & van Lier, R. Disentangling effects of structure and knowledge in perceiving partly occluded shapes: An ERP study. Vision Res.126, 109–119 (2016).
73. Vrins, S., de Wit, T. C. J. & van Lier, R. Bricks, Butter, and Slices of Cucumber: Investigating Semantic Influences in Amodal Completion. Perception38, 17–29 (2009).
74. Yun, X., Hazenberg, S. J. & van Lier, R. Temporal properties of amodal completion: Influences of knowledge. Vision Res.145, 21–30 (2018).
75. Joseph, J. S. & Nakayama, K. Amodal representation depends on the object seen before partial occlusion. Vision Res.39, 283–292 (1999).
76. Zemel, R., Behrmann, M., Mozer, M. & Bavelier, D. Experience-Dependent Perceptual Grouping and Object-Based Attention. J. Exp. Psychol. Hum. Percept. Perform.28, (2002).
77. Carrigan, S. B., Palmer, E. M. & Kellman, P. J. Differentiating global and local contour completion using a dot localization paradigm. J. Exp. Psychol. Hum. Percept. Perform.42, 1928–1946 (2016).
78. Pratt, J. & Sekuler, A. B. The effects of occlusion and past experience on the allocation of object-based attention. Psychon. Bull. Rev.8, 721–727 (2001).
79. Hazenberg, S. J., Jongsma, M. L. A., Koning, A. & van Lier, R. Differential Familiarity Effects in Amodal Completion: Support From Behavioral and Electrophysiological Measurements. J. Exp. Psychol. Hum. Percept. Perform.40, 669–684 (2014).
80. Peterson, M. A. & Hochberg, J. Necessary Considerations for a Theory of Form Perception: A Theoretical and Empirical Reply to Boselie and Leeuwenberg (1986). Perception18, 105–119 (1989).
81. Rauschenberger, R., Peterson, M. A., Mosca, F. & Bruno, N. Amodal Completion in Visual Search: Preemption or Context Effects? Psychol. Sci.15, 351–355 (2004).
82. Plomp, G. & van Leeuwen, C. Asymmetric priming effects in visual processing of occlusion patterns. Percept. Psychophys.68, 946–958 (2006).
83. Beller, H. K. Priming: Effects of advance information on matching. J. Exp. Psychol.87, 176–182 (1971).
84. Sekuler, A. B. & Palmer, S. E. Perception of partly occluded objects: A microgenetic analysis. J. Exp. Psychol. Gen.121, 95–111 (1992).
85. Wright, D., Makin, A. D. J. & Bertamini, M. Electrophysiological responses to symmetry presented in the left or in the right visual hemifield. Cortex J. Devoted Study Nerv. Syst. Behav.86, 93–108 (2017).
86. Makin, A. D. J., Tyson-Carr, J., Bertamini, M., Derpsch, Y. & Rampone, G. A new ERP repetition paradigm to assess independence of regularity representations in the extrastriate cortex. (2020) doi:10.31234/osf.io/a8n6b.
87. Makin, A. D. J. et al. Electrophysiological priming effects confirm that the extrastriate symmetry network is not gated by luminance polarity. Eur. J. Neurosci.53, 964–973 (2021).
88. Sharman, R. J. & Gheorghiu, E. The role of motion and number of element locations in mirror symmetry perception. Sci. Rep.7, 45679 (2017).
89. Makin, A. D. J., Rampone, G. & Bertamini, M. Conditions for view invariance in the neural response to visual symmetry. 12.
90. Makin, A. D. J., Rampone, G., Wright, A., Martinovic, J. & Bertamini, M. Visual symmetry in objects and gaps. J. Vis. 12 (2014).
91. Niedeggen, M., Wichmann, P. & Stoerig, P. Change blindness and time to consciousness: Change blindness and time to consciousness. Eur. J. Neurosci.14, 1719–1726 (2001).
92. Koivisto, M. & Revonsuo, A. An ERP study of change detection, change blindness, and visual awareness. Psychophysiology40, 423–429 (2003).
93. Niimi, R., Watanabe, K. & Yokosawa, K. The dynamic-stimulus advantage of visual symmetry perception. Psychol. Res.72, 567–579 (2008).
94. Sharman, R. J. & Gheorghiu, E. The role of motion and number of element locations in mirror symmetry perception. Sci. Rep.7, 45679 (2017).
95. Sharman, R. J. & Gheorghiu, E. Spatiotemporal and Luminance Contrast Properties of Symmetry Perception. Symmetry10, 220 (2018).
96. Sharman, R. J. & Gheorghiu, E. Speed tuning properties of mirror symmetry detection mechanisms. Sci. Rep.9, 3431 (2019).
97. Peirce, J. W. PsychoPy—Psychophysics software in Python. J. Neurosci. Methods162, 8–13 (2007).
98. Delorme, A. & Makeig, S. EEGLAB: an open source toolbox for analysis of single-trial EEG dynamics including independent component analysis. J. Neurosci. Methods134, 9–21 (2004).
99. Bakeman, R. Recommended effect size statistics for repeated measures designs. Behav. Res. Methods37, 379–384 (2005).