Entropy and optimality in abstract art: An empirical test of visual aesthetics

Journal of Mathematics and the Arts

Volumn 9, Issue 3-4, 2015, Pages 77-90

  Burns, Kevin ^a  

^a MITRE CORPORATION   (United States)

Author keywords

Abstract art; Aesthetics; Entropy; Experiments; Probability; Psychology; Semantics; Surprise

Indexed keywords

EID: 84951268722     PISSN: 17513472     EISSN: 17513480     Source Type: Journal    
DOI: 10.1080/17513472.2015.1096738     Document Type: Article

References (61)

1. S. Argamon, K. Burns, and S. Dubnov (eds.), The Structure of Style: Algorithmic Approaches toUnderstanding Manner and Meaning, Springer-Verlag, Berlin, 2010.
2. M. Bense, Aesthetica. Einfürung in die Neue Aesthetik, Agis-Verlag, Baden-Baden, 1965.
3. D. Berlyne, Aesthetics and Psychobiology, Appleton Century Crofts, New York, NY, 1971.
4. D. Berlyne, Studies in the New Experimental Aesthetics, Hemisphere, Washington, DC, 1974.
5. G. Birkhoff, Aesthetic Measure, Harvard University Press, Cambridge, MA, 1933.
6. C. Blinderman, T. H. Huxley's theory of aesthetics: Unity in diversity, J. Aesthetics Art Criticism 21 (1962), pp. 49-55.
7. K. Burns, Atoms of EVE' : A Bayesian basis for esthetic analysis of style in sketching, Artif. Intell. Eng. Des. Anal. Manuf. 20 (2006), pp. 185-199.
8. K. Burns, EVE's energy in aesthetic experience: A Bayesian basis for haiku humor, J. Math. Arts 6 (2012), pp. 77-87.
9. K. Burns, Computing the creativeness of amusing advertisements: A Bayesian model of Burma-Shave's muse, Artif. Intell. Eng. Des. Anal. Manuf. 29 (2015), pp. 109-128.
10. K. Burns and S. Dubnov, Memex music and gambling games: EVE's take on lucky number 13, Papers from the AAAI Workshop on Computational Aesthetics: Artificial Intelligence Approaches to Beauty and Happiness, WS-06-04, AAAI Press, Menlo Park, CA, 2006.
11. H. Cohen, Style as emergence (fromwhat?), inThe Structure of Style: Algorithmic Approaches toUnderstanding Manner and Meaning, S. Argamon, K. Burns, and S. Dubnov, eds., Springer-Verlag, Berlin, 2010, pp. 3-20.
12. T. Cover and J. Thomas, Elements of Information Theory, John Wiley & Sons, New York, NY, 1991.
13. A. Danto, What Art Is, Yale University Press, New Haven, CT, 2013.
14. C. Darwin, The Expression of the Emotions in Man and Animals, 3rd ed., Oxford University Press, Oxford, 1998.
15. A. Ekárt, A. Joó, D. Sharma, and S. Chalakov, Modeling the underlying principles of human aesthetic preference in evolutionary art, J. Math. Arts 6 (2012), pp. 107-124.
16. P. Ellsworth and K. Scherer, Appraisal processes in emotion, in Handbook of Affective Sciences, R.Davidson, K. Scherer, and H. Goldsmith, eds., Oxford University Press, Oxford, 2003, pp. 572-595.
17. H. Eysenck, The experimental study of the 'good gestalt' - A new approach, Psychol. Rev. 49 (1942), pp. 344-364.
18. H. Eysenck, Sense and Nonsense in Psychology, Penguin, Harmondsworth, 1957.
19. G. Fechner, Vorschule der Ästhetic, Breitkopf & Härtel, Leipzig, 1876.
20. P. Fishwick (ed.), Aesthetic Computing, MIT Press, Cambridge, MA, 2006.
21. R. Fry, Vision and Design, Chatto & Windus, London, 1920.
22. P. Galanter, Computational aesthetic evaluation: Past and future, in Computers and Creativity, J. McCormack and M. d'Inverno, eds., Springer-Verlag, Berlin, 2012, pp. 255-293.
23. G. Greenfield, On the origins of the term "computational aesthetics", in Computational Aesthetics in Graphics, Visualization and Imaging, L. Neumann, M. Sbert, B. Gooch, and W. Purgathofer, eds., Eurographics, Girona, 2005, pp. 1-12.
24. G. Greenfield and P. Machado, Guest editor's introduction, special issue onmathematical models used in aesthetic evaluation, J. Math. Arts 6 (2012), pp. 59-64.
25. F. Hoenig, Defining computational aesthetics, in Computational Aesthetics in Graphics, Visualization and Imaging, L. Neumann, M. Sbert, B. Gooch, andW. Purgathofer, eds., Eurographics, Girona, 2005, pp. 13-18.
26. A. Hofstadter and R. Kuhns, Philosophies of Art and Beauty: Selected Readings in Aesthetics from Plato to Heidegger, University of Chicago Press, Chicago, IL, 1964.
27. D. Hubel, Eye, Brain, and Vision, W. H. Freeman, New York, NY, 1988.
28. F. Hutcheson, An Inquiry Into the Original of Our Ideas of Beauty and Virtue, J. and J. Knapton, London, 1729.
29. T. Huxley, On Science and Art in Relation to Education, Collected Essays Volume 3, Macmillan, London, 1893.
30. C. Kaplan and R. Bosch, TSP art, Proceedings of Bridges: Mathematical Connections in Art, Music, and Science, Banff, Alberta, Canada, 2005.
31. J. Kennedy, Drawing and the Blind: Pictures to Touch, Yale University Press, New Haven, CT, 1993.
32. H. Kreitler and S. Kreitler. Psychology of the Arts, Duke University Press, Durham, NC, 1972.
33. S. Kullback and R. Leibler, On information and sufficiency, Ann. Math. Stat. 22 (1951), pp. 79-86.
34. M. Livingstone, Vision and Art: The Biology of Seeing, Abrams, New York, NY, 2002.
35. M. Livio, TheEquation that Couldn'tBe Solved:HowMathematical Genius Discovered the Language of Symmetry, Simon & Schuster, New York, NY, 2005.
36. D. Marr, Vision: AComputational Investigation Into the Human Representation and Processing of Visual Information, W. H. Freeman, New York, NY, 1982.
37. I. McManus, B. Cheema, and J. Stoker, The aesthetics of composition: A study of Mondrian, Empir. Stud. Arts 11 (1993), pp. 83-94.
38. H. McWhinnie, A review of some research on aesthetic measure and perceptual choice, Stud. Art Educ. 6 (1965), pp. 34-41.
39. K. Millis, Making meaning brings pleasure: The influence of titles on aesthetic experiences, Emotion 1 (2001), pp. 320-329.
40. A. Moles, Information Theory and Esthetic Perception, University of Illinois Press, Urbana, IL, 1966.
41. F. Nake, Information aesthetics: An heroic experiment, J. Math. Arts 6 (2012), pp. 65-75.
42. A. Noll, Human or machine: A subjective comparison of Piet Mondrian's "composition with lines" (1917) and a computer-generated picture, Psychol. Rec. 16 (1966), pp. 1-10.
43. K. Oatley, Creative expression and communication of emotions in the visual and narrative arts, in Handbook of Affective Sciences, R. Davidson, K. Scherer, and H. Goldsmith, eds., Oxford University Press, Oxford, 2003, pp. 481-502.
44. M. Parsons, HowWe Understand Art: A Cognitive Developmental Account of Aesthetic Experience, Cambridge University Press, Cambridge, 1987.
45. F. Phillips, J. Norman, and A. Beers, Fechner's aesthetics revisited, Seeing Perceiving 23 (2010), pp. 263-271.
46. Z. Pizlo, 3D Shape: Its Unique Place in Visual Perception, MIT Press, Cambridge, MA, 2008.
47. R. Reber, N. Schwarz, and P. Winkielman, Processing fluency and aesthetic pleasure: Is beauty in the perceiver's processing experience?, Personality Soc. Psychol. Rev. 8 (2004), pp. 364-382.
48. J. Rigau, M. Feixas, and M. Sbert, Conceptualizing Birkhoff's aesthetic measure using Shannon entropy and Kolmogorov complexity, in Computational Aesthetics in Graphics, Visualization and Imaging, D. Cunningham, G. Meyer, L. Neumann, A. Dunning, and R. Paricio, eds., The Eurographics Association, Aire-La-Ville, Switzerland, 2007, pp. 105-112.
49. J. Rigau, M. Feixas, and M. Sbert, Informational aesthetics measures, IEEE Comput. Graph. Appl. 28 (2008), pp. 24-34.
50. R. Scha and R. Bod, Computationele esthetica, Informatie en Informatiebeleid 11 (1993), pp. 54-63.
51. K. Scherer, Appraisal theory, in Handbook of Cognition and Emotion, T. Dalgleish and M. Power, eds., Wiley, New York, NY, 1999, pp. 637-663.
52. C. Shannon, The mathematical theory of communication, in The Mathematical Theory of Communication, C. Shannon and W. Weaver, eds., University of Illinois Press, Urbana, IL, 1949, pp. 29-125.
53. P. Silvia, Emotional responses to art: From collation and arousal to cognition and emotion, Rev. Gen. Psychol. 9 (2005), pp. 342-357.
54. B. Smith (ed.), Foundations of Gestalt Theory, Philosophia Verlag, Munich, 1988.
55. S. Stevens, Neural events and the psychophysical law, Science 170 (1970), pp. 1043-1050.
56. G. Stiny and J. Gips, Algorithmic Aesthetics: Computer Models for Criticism and Design in the Arts, University of California Press, Berkeley, CA, 1978.
57. P.Vázquez, M. Feixas, M. Sbert, andW. Heidrich, Viewpoint selection using viewpoint entropy, Proc. Vis. Model. Vis. Conf. (2001), pp. 273-280.
58. W. Weaver, Introductory note on the general setting of the analytical communication studies, in The Mathematical Theory of Communication, C. Shannon and W.Weaver, eds., University of Illinois Press, Urbana, IL, 1949, pp. 1-28.
59. A. Wolach and M. McHale, Line spacing in Mondrian paintings and computer-generated modifications, J. Gen. Psychol. 132 (2005), pp. 281-291.
60. J. Xu and C. Kaplan, Vortex maze construction, J. Math. Arts 1 (2007), pp. 7-20.
61. M. Zuckerman, Behavioral Expressions and Biosocial Bases of Sensation Seeking, Cambridge University Press, New York, NY, 1994.