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[1] Andrienko, Yu. A., Brilliantov, N. V., and Kurths, J., ‘Complexity of
 
[1] Andrienko, Yu. A., Brilliantov, N. V., and Kurths, J., ‘Complexity of
 
two-dimensional patterns’, Eur. Phys. J. B, 15(3), 539–546, (2000).
 
two-dimensional patterns’, Eur. Phys. J. B, 15(3), 539–546, (2000).
 +
 
[2] Rudolf Arnheim, Art and visual perception: A psychology of the creative
 
[2] Rudolf Arnheim, Art and visual perception: A psychology of the creative
 
eye, Univ of California Press, 1954.
 
eye, Univ of California Press, 1954.
 +
 
[3] Rudolf Arnheim, ‘Towards a psychology of art/entropy and art an essay
 
[3] Rudolf Arnheim, ‘Towards a psychology of art/entropy and art an essay
 
on disorder and order’, The Regents of the University of California,
 
on disorder and order’, The Regents of the University of California,
 
(1966).
 
(1966).
 +
 
[4] Rudolf Arnheim, Visual thinking, Univ of California Press, 1969.
 
[4] Rudolf Arnheim, Visual thinking, Univ of California Press, 1969.
 +
 
[5] Honor Beddard and Dodds Dodds, Digital Pioneers, V&A Pattern,
 
[5] Honor Beddard and Dodds Dodds, Digital Pioneers, V&A Pattern,
 
V&A Publishing, 2009.
 
V&A Publishing, 2009.
 +
 
[6] M. Bense and G. Nee, ‘Computer grafik’, in edition rot, eds., Max
 
[6] M. Bense and G. Nee, ‘Computer grafik’, in edition rot, eds., Max
 
Bense and Elisabeth Walther, volume 19, Walther, Stuttgart, (1965).
 
Bense and Elisabeth Walther, volume 19, Walther, Stuttgart, (1965).
 +
 
[7] Max Bense, Aestetica: Programmierung des Sch¨onen, allgemeine Texttheorie
 
[7] Max Bense, Aestetica: Programmierung des Sch¨onen, allgemeine Texttheorie
 
und Text¨asthetik..., Agis-Verlag, 1960.
 
und Text¨asthetik..., Agis-Verlag, 1960.
 +
 
[8] Max Bense, Kleine abstrakte ¨asthetik, E. Walther, 1969.
 
[8] Max Bense, Kleine abstrakte ¨asthetik, E. Walther, 1969.
 +
 
[9] Katie A Bentley, ‘Exploring aesthetic pattern formation’, in Generative
 
[9] Katie A Bentley, ‘Exploring aesthetic pattern formation’, in Generative
 
Art 2002 conference proceedings, (2002).
 
Art 2002 conference proceedings, (2002).
 +
 
[10] Daniel Ellis Berlyne, ‘Conflict and information-theory variables as determinants
 
[10] Daniel Ellis Berlyne, ‘Conflict and information-theory variables as determinants
 
of human perceptual curiosity.’, Journal of experimental
 
of human perceptual curiosity.’, Journal of experimental
 
psychology, 53(6), 399, (1957).
 
psychology, 53(6), 399, (1957).
 +
 
[11] G.D. Birkhoff, Aesthetic Measure, Harvard University Press, 1933.
 
[11] G.D. Birkhoff, Aesthetic Measure, Harvard University Press, 1933.
 +
 
[12] Paul Brown, ‘Stepping stones in the mist’, in Creative evolutionary systems,
 
[12] Paul Brown, ‘Stepping stones in the mist’, in Creative evolutionary systems,
 
pp. 387–407. Morgan Kaufmann Publishers Inc., (2001).
 
pp. 387–407. Morgan Kaufmann Publishers Inc., (2001).
 +
 
[13] Alan Dorin, ‘The virtual ecosystem as generative electronic art’, in Applications
 
[13] Alan Dorin, ‘The virtual ecosystem as generative electronic art’, in Applications
 
of Evolutionary Computing, 467–476, Springer, (2004).
 
of Evolutionary Computing, 467–476, Springer, (2004).
 +
 
[14] Hans J Eysenck, ‘An experimental study of aesthetic preference for
 
[14] Hans J Eysenck, ‘An experimental study of aesthetic preference for
 
polygonal figures’, The Journal of General Psychology, 79(1), 3–17,
 
polygonal figures’, The Journal of General Psychology, 79(1), 3–17,
 
(1968).
 
(1968).
 +
 
[15] Hans J¨urgen Eysenck, ‘The empirical determination of an aesthetic formula.’,
 
[15] Hans J¨urgen Eysenck, ‘The empirical determination of an aesthetic formula.’,
 
Psychological Review, 48(1), 83, (1941).
 
Psychological Review, 48(1), 83, (1941).
 +
 
[16] Hans Jurgen Eysenck, ‘The experimental study of the ‘good gestalt’ –a
 
[16] Hans Jurgen Eysenck, ‘The experimental study of the ‘good gestalt’ –a
 
new approach.’, Psychological Review, 49(4), 344, (1942).
 
new approach.’, Psychological Review, 49(4), 344, (1942).
 +
 
[17] Herbert W. Franke, ‘A cybernetic approach to aesthetics’, Leonardo,
 
[17] Herbert W. Franke, ‘A cybernetic approach to aesthetics’, Leonardo,
 
10(3), 203–206, (1977).
 
10(3), 203–206, (1977).
 +
 
[18] John Frazer, An evolutionary architecture, Architectural Association
 
[18] John Frazer, An evolutionary architecture, Architectural Association
 
Publications, Themes VII, 1995.
 
Publications, Themes VII, 1995.
 +
 
[19] Philip Galanter, ‘Computational aesthetic evaluation: past and future’,
 
[19] Philip Galanter, ‘Computational aesthetic evaluation: past and future’,
 
in Computers and Creativity, eds., Jon McCormack and Mark
 
in Computers and Creativity, eds., Jon McCormack and Mark
 
d’IInverno, pp. 255–293. Springer, (2012).
 
d’IInverno, pp. 255–293. Springer, (2012).
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[20] Leo Geurts and Lambert Meertens, ‘Crystallization’, Computers and
 
[20] Leo Geurts and Lambert Meertens, ‘Crystallization’, Computers and
 
Automation, 19(8), 22, (1970).
 
Automation, 19(8), 22, (1970).
 +
 
[21] Mohammad Ali Javaheri Javid, Mohammad Majid al Rifaie, and Robert
 
[21] Mohammad Ali Javaheri Javid, Mohammad Majid al Rifaie, and Robert
 
Zimmer, ‘Detecting Symmetry in Cellular Automata Generated Patterns
 
Zimmer, ‘Detecting Symmetry in Cellular Automata Generated Patterns
Zeile 90: Zeile 110:
 
Mart´ın-Vide, volume 8890 of Lecture Notes in Computer Science, pp.
 
Mart´ın-Vide, volume 8890 of Lecture Notes in Computer Science, pp.
 
83–94. Springer International Publishing, (2014).
 
83–94. Springer International Publishing, (2014).
 +
 
[22] Mohammad Ali Javaheri Javid and Rene te Boekhorst, ‘Cell Dormancy
 
[22] Mohammad Ali Javaheri Javid and Rene te Boekhorst, ‘Cell Dormancy
 
in Cellular Automata’, in International Conference on Computational
 
in Cellular Automata’, in International Conference on Computational
Zeile 95: Zeile 116:
 
M. A. Sloot, and Jack Dongarra, volume 3993 of Lecture Notes in Computer
 
M. A. Sloot, and Jack Dongarra, volume 3993 of Lecture Notes in Computer
 
Science, pp. 367–374. Springer, (2006).
 
Science, pp. 367–374. Springer, (2006).
 +
 
[23] Kenneth C Knowlton, ‘Explor-a generator of images from explicit patterns,
 
[23] Kenneth C Knowlton, ‘Explor-a generator of images from explicit patterns,
 
local operations, and randomness’, in Proceedings of 9th Meeting
 
local operations, and randomness’, in Proceedings of 9th Meeting
 
of UAIDE, pp. 544–583, (1970).
 
of UAIDE, pp. 544–583, (1970).
 +
 
[24] S. Kullback and R. A. Leibler, ‘On Information and Sufficiency’, The
 
[24] S. Kullback and R. A. Leibler, ‘On Information and Sufficiency’, The
 
Annals of Mathematical Statistics, 22(1), pp. 79–86, (1951).
 
Annals of Mathematical Statistics, 22(1), pp. 79–86, (1951).
 +
 
[25] Ming Li, An introduction to Kolmogorov complexity and its applications,
 
[25] Ming Li, An introduction to Kolmogorov complexity and its applications,
 
Springer, 1997.
 
Springer, 1997.
 +
 
[26] Penousal Machado and Am´ılcar Cardoso, ‘Computing aesthetics’, in
 
[26] Penousal Machado and Am´ılcar Cardoso, ‘Computing aesthetics’, in
 
Advances in Artificial Intelligence, 219–228, Springer, (1998).
 
Advances in Artificial Intelligence, 219–228, Springer, (1998).
 +
 
[27] Jon McCormack, ‘Evolving sonic ecosystems’, Kybernetes, 32(1/2),
 
[27] Jon McCormack, ‘Evolving sonic ecosystems’, Kybernetes, 32(1/2),
 
184–202, (2003).
 
184–202, (2003).
 +
 
[28] Abraham Moles, Information theory and esthetic perception. Trans. JE
 
[28] Abraham Moles, Information theory and esthetic perception. Trans. JE
 
Cohen., U. Illinois Press, 1968.
 
Cohen., U. Illinois Press, 1968.
 +
 
[29] Frieder Nake, ‘Information aesthetics: An heroic experiment’, Journal
 
[29] Frieder Nake, ‘Information aesthetics: An heroic experiment’, Journal
 
of Mathematics and the Arts, 6(2-3), 65–75, (2012).
 
of Mathematics and the Arts, 6(2-3), 65–75, (2012).
 +
 
[30] Jaume Rigau, Miquel Feixas, and Mateu Sbert, ‘Conceptualizing
 
[30] Jaume Rigau, Miquel Feixas, and Mateu Sbert, ‘Conceptualizing
 
birkhoff’s aesthetic measure using shannon entropy and kolmogorov
 
birkhoff’s aesthetic measure using shannon entropy and kolmogorov
Zeile 115: Zeile 144:
 
W. Cunningham, Gary Meyer, and Laszlo Neumann, pp. 105–112,
 
W. Cunningham, Gary Meyer, and Laszlo Neumann, pp. 105–112,
 
Banff, Alberta, Canada, (2007). Eurographics Association.
 
Banff, Alberta, Canada, (2007). Eurographics Association.
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 +
 
[31] Ir Remko Scha, ‘Kunstmatige Kunst’, De Commectie, 2(1), 4–7, (2006).
 
[31] Ir Remko Scha, ‘Kunstmatige Kunst’, De Commectie, 2(1), 4–7, (2006).
 
[32] L.F. Schwartz and L.R. Schwartz, The Computer Artist’s Handbook:
 
[32] L.F. Schwartz and L.R. Schwartz, The Computer Artist’s Handbook:
 
Concepts, Techniques, and Applications, W W Norton & Company Incorporated,
 
Concepts, Techniques, and Applications, W W Norton & Company Incorporated,
 
1992.
 
1992.
 +
 
[33] Claude Shannon, ‘A mathematical theory of communication’, The Bell
 
[33] Claude Shannon, ‘A mathematical theory of communication’, The Bell
 
System Technical Journal, 27, 379–423 & 623–656, (October 1948).
 
System Technical Journal, 27, 379–423 & 623–656, (October 1948).
 +
 
[34] Karl Sims, ‘Interactive evolution of equations for procedural models’,
 
[34] Karl Sims, ‘Interactive evolution of equations for procedural models’,
 
The Visual Computer, 9(8), 466–476, (1993).
 
The Visual Computer, 9(8), 466–476, (1993).
 +
 
[35] Tom´aˇs Staudek, Exact Aesthetics. Object and Scene to Message, Ph.D.
 
[35] Tom´aˇs Staudek, Exact Aesthetics. Object and Scene to Message, Ph.D.
 
dissertation, Faculty of Informatics, Masaryk University of Brno, 2002.
 
dissertation, Faculty of Informatics, Masaryk University of Brno, 2002.
 +
 
[36] Peter Struycken, ‘Splash 1972/1974’, in Artist and computer, ed., Ruth
 
[36] Peter Struycken, ‘Splash 1972/1974’, in Artist and computer, ed., Ruth
 
Leavitt, 30–31, Harmony Books, (1976).
 
Leavitt, 30–31, Harmony Books, (1976).
 +
 
[37] Renate Wackerbauer, Annette Witt, Harald Atmanspacher, J¨urgen
 
[37] Renate Wackerbauer, Annette Witt, Harald Atmanspacher, J¨urgen
 
Kurths, and Herbert Scheingraber, ‘A comparative classification of
 
Kurths, and Herbert Scheingraber, ‘A comparative classification of
 
complexity measures’, Chaos, Solitons & Fractals, 4(1), 133–173,
 
complexity measures’, Chaos, Solitons & Fractals, 4(1), 133–173,
 
(1994).
 
(1994).
 +
 
[38] D. J. Wilson, ‘An experimental investigation of Birkhoff’s aesthetic
 
[38] D. J. Wilson, ‘An experimental investigation of Birkhoff’s aesthetic
 
measure’, The Journal of Abnormal and Social Psychology, 34(3), 390,
 
measure’, The Journal of Abnormal and Social Psychology, 34(3), 390,
 
(July 1939).
 
(July 1939).
 +
 
[39] Stephen Wolfram, A New Kind of Science, Wolfram Media Inc., 2002.
 
[39] Stephen Wolfram, A New Kind of Science, Wolfram Media Inc., 2002.
 +
 
[40] Wojciech H Zurek, ‘Algorithmic randomness and physical entropy’,
 
[40] Wojciech H Zurek, ‘Algorithmic randomness and physical entropy’,
 
Physical Review A, 40(8), 4731, (1989).
 
Physical Review A, 40(8), 4731, (1989).

Version vom 11. Juni 2016, 16:20 Uhr

Referenz

Mohammad Javaheri, Mohammad Majid Al-Rifaie, Robert Zimmer: An informational model for cellular automata aesthetic measure. In: AISB Symposium on Computational Creativity. University of Kent, Canterbury, UK (2015)

DOI

Abstract

This paper addresses aesthetic problem in cellular automata, taking a quantitative approach for aesthetic evaluation. Although the Shannon’s entropy is dominant in computational methods of aesthetics, it fails to discriminate accurately structurally different patterns in two-dimensions. We have adapted an informational measure to overcome the shortcomings of entropic measure by using information gain measure. This measure is customised to robustly quantify the complexity of multi-state cellular automata patterns. Experiments are set up with different initial configurations in a two-dimensional multi-state cellular whose corresponding structural measures at global level are analysed. Preliminary outcomes on the resulting automata are promising, as they suggest the possibility of predicting the structural characteristics, symmetry and orientation of cellular automata generated patterns.

Extended Abstract

Bibtex

@incollection{
year={2015},
isbn={},
booktitle={AISB Symposium on Computational Creativity},
volume={},
series={},
editor={},
doi={},
title={An informational model for cellular automata aesthetic measure},
url={https://www.cs.kent.ac.uk/events/2015/AISB2015/proceedings/computationalCreativity/AISB-CC2015.pdf  },
publisher={},
keywords={},
author={Mohammad Javaheri and Mohammad Majid Al-Rifaie and Robert Zimmer},
pages={},
language={English}
}


Used References

[1] Andrienko, Yu. A., Brilliantov, N. V., and Kurths, J., ‘Complexity of two-dimensional patterns’, Eur. Phys. J. B, 15(3), 539–546, (2000).

[2] Rudolf Arnheim, Art and visual perception: A psychology of the creative eye, Univ of California Press, 1954.

[3] Rudolf Arnheim, ‘Towards a psychology of art/entropy and art an essay on disorder and order’, The Regents of the University of California, (1966).

[4] Rudolf Arnheim, Visual thinking, Univ of California Press, 1969.

[5] Honor Beddard and Dodds Dodds, Digital Pioneers, V&A Pattern, V&A Publishing, 2009.

[6] M. Bense and G. Nee, ‘Computer grafik’, in edition rot, eds., Max Bense and Elisabeth Walther, volume 19, Walther, Stuttgart, (1965).

[7] Max Bense, Aestetica: Programmierung des Sch¨onen, allgemeine Texttheorie und Text¨asthetik..., Agis-Verlag, 1960.

[8] Max Bense, Kleine abstrakte ¨asthetik, E. Walther, 1969.

[9] Katie A Bentley, ‘Exploring aesthetic pattern formation’, in Generative Art 2002 conference proceedings, (2002).

[10] Daniel Ellis Berlyne, ‘Conflict and information-theory variables as determinants of human perceptual curiosity.’, Journal of experimental psychology, 53(6), 399, (1957).

[11] G.D. Birkhoff, Aesthetic Measure, Harvard University Press, 1933.

[12] Paul Brown, ‘Stepping stones in the mist’, in Creative evolutionary systems, pp. 387–407. Morgan Kaufmann Publishers Inc., (2001).

[13] Alan Dorin, ‘The virtual ecosystem as generative electronic art’, in Applications of Evolutionary Computing, 467–476, Springer, (2004).

[14] Hans J Eysenck, ‘An experimental study of aesthetic preference for polygonal figures’, The Journal of General Psychology, 79(1), 3–17, (1968).

[15] Hans J¨urgen Eysenck, ‘The empirical determination of an aesthetic formula.’, Psychological Review, 48(1), 83, (1941).

[16] Hans Jurgen Eysenck, ‘The experimental study of the ‘good gestalt’ –a new approach.’, Psychological Review, 49(4), 344, (1942).

[17] Herbert W. Franke, ‘A cybernetic approach to aesthetics’, Leonardo, 10(3), 203–206, (1977).

[18] John Frazer, An evolutionary architecture, Architectural Association Publications, Themes VII, 1995.

[19] Philip Galanter, ‘Computational aesthetic evaluation: past and future’, in Computers and Creativity, eds., Jon McCormack and Mark d’IInverno, pp. 255–293. Springer, (2012).

[20] Leo Geurts and Lambert Meertens, ‘Crystallization’, Computers and Automation, 19(8), 22, (1970).

[21] Mohammad Ali Javaheri Javid, Mohammad Majid al Rifaie, and Robert Zimmer, ‘Detecting Symmetry in Cellular Automata Generated Patterns Using Swarm Intelligence’, in Theory and Practice of Natural Computing, eds., Adrian-Horia Dediu, Manuel Lozano, and Carlos Mart´ın-Vide, volume 8890 of Lecture Notes in Computer Science, pp. 83–94. Springer International Publishing, (2014).

[22] Mohammad Ali Javaheri Javid and Rene te Boekhorst, ‘Cell Dormancy in Cellular Automata’, in International Conference on Computational Science (3), eds., Vassil N. Alexandrov, G. Dick van Albada, Peter M. A. Sloot, and Jack Dongarra, volume 3993 of Lecture Notes in Computer Science, pp. 367–374. Springer, (2006).

[23] Kenneth C Knowlton, ‘Explor-a generator of images from explicit patterns, local operations, and randomness’, in Proceedings of 9th Meeting of UAIDE, pp. 544–583, (1970).

[24] S. Kullback and R. A. Leibler, ‘On Information and Sufficiency’, The Annals of Mathematical Statistics, 22(1), pp. 79–86, (1951).

[25] Ming Li, An introduction to Kolmogorov complexity and its applications, Springer, 1997.

[26] Penousal Machado and Am´ılcar Cardoso, ‘Computing aesthetics’, in Advances in Artificial Intelligence, 219–228, Springer, (1998).

[27] Jon McCormack, ‘Evolving sonic ecosystems’, Kybernetes, 32(1/2), 184–202, (2003).

[28] Abraham Moles, Information theory and esthetic perception. Trans. JE Cohen., U. Illinois Press, 1968.

[29] Frieder Nake, ‘Information aesthetics: An heroic experiment’, Journal of Mathematics and the Arts, 6(2-3), 65–75, (2012).

[30] Jaume Rigau, Miquel Feixas, and Mateu Sbert, ‘Conceptualizing birkhoff’s aesthetic measure using shannon entropy and kolmogorov complexity’, in Workshop on Computational Aesthetics, eds., Douglas W. Cunningham, Gary Meyer, and Laszlo Neumann, pp. 105–112, Banff, Alberta, Canada, (2007). Eurographics Association.


[31] Ir Remko Scha, ‘Kunstmatige Kunst’, De Commectie, 2(1), 4–7, (2006). [32] L.F. Schwartz and L.R. Schwartz, The Computer Artist’s Handbook: Concepts, Techniques, and Applications, W W Norton & Company Incorporated, 1992.

[33] Claude Shannon, ‘A mathematical theory of communication’, The Bell System Technical Journal, 27, 379–423 & 623–656, (October 1948).

[34] Karl Sims, ‘Interactive evolution of equations for procedural models’, The Visual Computer, 9(8), 466–476, (1993).

[35] Tom´aˇs Staudek, Exact Aesthetics. Object and Scene to Message, Ph.D. dissertation, Faculty of Informatics, Masaryk University of Brno, 2002.

[36] Peter Struycken, ‘Splash 1972/1974’, in Artist and computer, ed., Ruth Leavitt, 30–31, Harmony Books, (1976).

[37] Renate Wackerbauer, Annette Witt, Harald Atmanspacher, J¨urgen Kurths, and Herbert Scheingraber, ‘A comparative classification of complexity measures’, Chaos, Solitons & Fractals, 4(1), 133–173, (1994).

[38] D. J. Wilson, ‘An experimental investigation of Birkhoff’s aesthetic measure’, The Journal of Abnormal and Social Psychology, 34(3), 390, (July 1939).

[39] Stephen Wolfram, A New Kind of Science, Wolfram Media Inc., 2002.

[40] Wojciech H Zurek, ‘Algorithmic randomness and physical entropy’, Physical Review A, 40(8), 4731, (1989).

Links

Full Text

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Sonstige Links

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