Quaternion Julia Set Shape Optimization
We present the first 3D algorithm capable of answering the question: what would a Mandelbrot‐like set in the shape of a bunny look like? More concretely, can we find an iterated quaternion rational map whose potential field contains an isocontour with a desired shape? We show that it is possible to...
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| Vydané v: | Computer graphics forum Ročník 34; číslo 5; s. 167 - 176 |
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| Médium: | Journal Article |
| Jazyk: | English |
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Blackwell Publishing Ltd
01.08.2015
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| ISSN: | 0167-7055, 1467-8659 |
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| Abstract | We present the first 3D algorithm capable of answering the question: what would a Mandelbrot‐like set in the shape of a bunny look like? More concretely, can we find an iterated quaternion rational map whose potential field contains an isocontour with a desired shape? We show that it is possible to answer this question by casting it as a shape optimization that discovers novel, highly complex shapes. The problem can be written as an energy minimization, the optimization can be made practical by using an efficient method for gradient evaluation, and convergence can be accelerated by using a variety of multi‐resolution strategies. The resulting shapes are not invariant under common operations such as translation, and instead undergo intricate, non‐linear transformations. |
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| AbstractList | We present the first 3D algorithm capable of answering the question: what would a Mandelbrot-like set in the shape of a bunny look like? More concretely, can we find an iterated quaternion rational map whose potential field contains an isocontour with a desired shape? We show that it is possible to answer this question by casting it as a shape optimization that discovers novel, highly complex shapes. The problem can be written as an energy minimization, the optimization can be made practical by using an efficient method for gradient evaluation, and convergence can be accelerated by using a variety of multi-resolution strategies. The resulting shapes are not invariant under common operations such as translation, and instead undergo intricate, non-linear transformations. We present the first 3D algorithm capable of answering the question : what would a Mandelbrot‐like set in the shape of a bunny look like? More concretely, can we find an iterated quaternion rational map whose potential field contains an isocontour with a desired shape? We show that it is possible to answer this question by casting it as a shape optimization that discovers novel, highly complex shapes. The problem can be written as an energy minimization, the optimization can be made practical by using an efficient method for gradient evaluation, and convergence can be accelerated by using a variety of multi‐resolution strategies. The resulting shapes are not invariant under common operations such as translation, and instead undergo intricate, non‐linear transformations . |
| Author | Kim, Theodore |
| Author_xml | – sequence: 1 givenname: Theodore surname: Kim fullname: Kim, Theodore organization: Media Arts and Technology Program University of California, Santa Barbara |
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| Cites_doi | 10.1145/1141911.1141983 10.1145/965145.801263 10.1016/S0017-9310(02)00013-3 10.1090/S0025-5718-04-01678-3 10.1017/etds.2014.8 10.1090/S0002-9947-2012-05398-0 10.1109/InPar.2012.6339601 10.1007/978-3-642-61717-1 10.1017/fmp.2013.2 10.1137/1.9780898719505 10.1111/j.1749-6632.1980.tb29690.x 10.1145/74333.74363 10.1109/TIT.2007.909108 10.1145/1409060.1409118 10.1119/1.13295 10.1109/MAP.2003.1189650 |
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| Copyright | 2015 The Author(s) Computer Graphics Forum © 2015 The Eurographics Association and John Wiley & Sons Ltd. Published by John Wiley & Sons Ltd. 2015 The Eurographics Association and John Wiley & Sons Ltd. |
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| References | Douady A., Hubbard J.H.: Itération des polynômes quadratiques complexes. CR Acad. Sci. Paris 294 (1982), 123-126. Sanders J., Kandrot E.: CUDA by Example: An Introduction to General-Purpose GPU Programming, 1st ed. Addison-Wesley Professional, 2010. Vass J.: On the Geometry of IFS Fractals and its Applications. PhD thesis, University of Waterloo, Waterloo, ON, 2013. Devaney R.L.: A First Course in Chaotic Dynamical Systems. Westview Press, 1992. James D.L., Barbič J., Pai D.K.: Precomputed acoustic transfer: Output-sensitive, accurate sound generation for geometrically complex vibration sources. ACM Trans. Graph. 25, 3 (July 2006), 987-995. Baker M., De Marco L.: Special curves and post-critically finite polynomials. Forum of Mathematics, Pi 1 (1 2013). Tropp J.A., Gilbert A.C.: Signal recovery from random measurements via orthogonal matching pursuit. IEEE Transactions on Information Theory 53, 12 (2007), 4655-4666. Peitgen H.-O., Richter P.H.: The Beauty of Fractals. Springer-Verlag, 1986. Fatou P.: Sur les substitutions rationnelles. Comp. Rend. heb. S. Acad, Sci 164 (1917), 806-808. Chen Y., Cheng P.: Heat transfer and pressure drop in fractal tree-like microchannel nets. International Journal of Heat and Mass Transfer 45, 13 (2002), 2643-2648. Zhao H.: A fast sweeping method for eikonal equations. Mathematics of Computation 74, 250 (2005), 603-627. Barnsley M.F.: Fractals Everywhere. Academic Press, 1988. An S.S., Kim T., James D.L.: Optimizing cubature for efficient integration of subspace deformations. ACM Trans. on Graphics 27, 5 (Dec. 2008), 165. Ebert D.S., Musgrave F.K., Peachey D., Perlin K., Worley S.: Texturing and Modeling: A Procedural Approach, 3rd ed. Morgan Kaufmann Publishers Inc., San Francisco, CA, USA, 2002. Werner D., Ganguly S.: An overview of fractal antenna engineering research. IEEE Antennas and Propagation Magazine 45, 1 (2003), 38-57. Mandelbrot B.B.: Fractal aspects of the iteration of z → λz (1-z) for complex λ and z. Annals of the New York Academy of Sciences 357, 1 (1980), 249-259. Mandelbrot B.B.: The fractal geometry of nature. W. H. Freeman, New York, 1983. Briggs W.L., Henson V.E., McCormick S.F.: A Multigrid Tutorial. SIAM, 2000. Flock T., Strichartz R.: Laplacians on a family of quadratic Julia sets I. Transactions of the American Mathematical Society 364, 8 (2012), 3915-3965. Nocedal J., Wright S.: Numerical Optimization, 2nd ed. Springer, 2006. 1980; 357 2012; 364 2013; 1 2012 1917; 164 2010 2009 2007 2006 2005 2004 1992 2002 1918 2007; 53 2000 2002; 45 2008; 27 2006; 25 1986 2005; 74 1983 1982 2014 2013 1982; 294 1989 1988 2003; 45 e_1_2_8_28_2 e_1_2_8_29_2 e_1_2_8_23_2 Sanders J. (e_1_2_8_31_2) 2010 Barnsley M.F. (e_1_2_8_3_2) 1988 Lagae A. (e_1_2_8_22_2) 2010 e_1_2_8_24_2 e_1_2_8_25_2 Hart J.C. (e_1_2_8_15_2) 1989 e_1_2_8_26_2 e_1_2_8_2_2 Devaney R.L. (e_1_2_8_9_2) 1992 e_1_2_8_4_2 e_1_2_8_5_2 e_1_2_8_8_2 e_1_2_8_7_2 e_1_2_8_20_2 e_1_2_8_21_2 Fatou P. (e_1_2_8_12_2) 1917; 164 Douady A. (e_1_2_8_10_2) 1982; 294 e_1_2_8_16_2 e_1_2_8_17_2 e_1_2_8_18_2 e_1_2_8_19_2 e_1_2_8_35_2 Braverman M. (e_1_2_8_6_2) 2007 e_1_2_8_13_2 e_1_2_8_14_2 e_1_2_8_37_2 e_1_2_8_36_2 Vass J. (e_1_2_8_34_2) 2013 Nocedal J. (e_1_2_8_27_2) 2006 e_1_2_8_30_2 e_1_2_8_33_2 e_1_2_8_32_2 Ebert D.S. (e_1_2_8_11_2) 2002 |
| References_xml | – reference: An S.S., Kim T., James D.L.: Optimizing cubature for efficient integration of subspace deformations. ACM Trans. on Graphics 27, 5 (Dec. 2008), 165. – reference: Ebert D.S., Musgrave F.K., Peachey D., Perlin K., Worley S.: Texturing and Modeling: A Procedural Approach, 3rd ed. Morgan Kaufmann Publishers Inc., San Francisco, CA, USA, 2002. – reference: Briggs W.L., Henson V.E., McCormick S.F.: A Multigrid Tutorial. SIAM, 2000. – reference: Peitgen H.-O., Richter P.H.: The Beauty of Fractals. Springer-Verlag, 1986. – reference: Mandelbrot B.B.: Fractal aspects of the iteration of z → λz (1-z) for complex λ and z. Annals of the New York Academy of Sciences 357, 1 (1980), 249-259. – reference: Devaney R.L.: A First Course in Chaotic Dynamical Systems. Westview Press, 1992. – reference: Chen Y., Cheng P.: Heat transfer and pressure drop in fractal tree-like microchannel nets. International Journal of Heat and Mass Transfer 45, 13 (2002), 2643-2648. – reference: Douady A., Hubbard J.H.: Itération des polynômes quadratiques complexes. CR Acad. Sci. Paris 294 (1982), 123-126. – reference: Zhao H.: A fast sweeping method for eikonal equations. Mathematics of Computation 74, 250 (2005), 603-627. – reference: Barnsley M.F.: Fractals Everywhere. Academic Press, 1988. – reference: Nocedal J., Wright S.: Numerical Optimization, 2nd ed. Springer, 2006. – reference: Mandelbrot B.B.: The fractal geometry of nature. W. H. Freeman, New York, 1983. – reference: Werner D., Ganguly S.: An overview of fractal antenna engineering research. IEEE Antennas and Propagation Magazine 45, 1 (2003), 38-57. – reference: Vass J.: On the Geometry of IFS Fractals and its Applications. PhD thesis, University of Waterloo, Waterloo, ON, 2013. – reference: Sanders J., Kandrot E.: CUDA by Example: An Introduction to General-Purpose GPU Programming, 1st ed. Addison-Wesley Professional, 2010. – reference: Flock T., Strichartz R.: Laplacians on a family of quadratic Julia sets I. Transactions of the American Mathematical Society 364, 8 (2012), 3915-3965. – reference: Baker M., De Marco L.: Special curves and post-critically finite polynomials. Forum of Mathematics, Pi 1 (1 2013). – reference: Tropp J.A., Gilbert A.C.: Signal recovery from random measurements via orthogonal matching pursuit. IEEE Transactions on Information Theory 53, 12 (2007), 4655-4666. – reference: Fatou P.: Sur les substitutions rationnelles. Comp. Rend. heb. S. Acad, Sci 164 (1917), 806-808. – reference: James D.L., Barbič J., Pai D.K.: Precomputed acoustic transfer: Output-sensitive, accurate sound generation for geometrically complex vibration sources. ACM Trans. Graph. 25, 3 (July 2006), 987-995. – year: 1983 – year: 2009 – volume: 164 start-page: 806 year: 1917 end-page: 808 article-title: Sur les substitutions rationnelles publication-title: Comp. Rend. heb. S. Acad, Sci – start-page: 47 year: 1918 end-page: 246 – year: 2005 – start-page: 709 year: 2007 end-page: 716 – volume: 294 start-page: 123 year: 1982 end-page: 126 article-title: Itération des polynômes quadratiques complexes publication-title: CR Acad. Sci. Paris – year: 2000 – volume: 45 start-page: 2643 issue: 13 year: 2002 end-page: 2648 article-title: Heat transfer and pressure drop in fractal tree‐like microchannel nets publication-title: International Journal of Heat and Mass Transfer – start-page: 61 year: 2006 end-page: 70 – volume: 25 start-page: 987 issue: 3 year: 2006 end-page: 995 article-title: Precomputed acoustic transfer: Output‐sensitive, accurate sound generation for geometrically complex vibration sources publication-title: ACM Trans. Graph – volume: 27 start-page: 165 issue: 5 year: 2008 article-title: Optimizing cubature for efficient integration of subspace deformations publication-title: ACM Trans. on Graphics – volume: 364 start-page: 3915 issue: 8 year: 2012 end-page: 3965 article-title: Laplacians on a family of quadratic Julia sets I publication-title: Transactions of the American Mathematical Society – year: 1992 – volume: 74 start-page: 603 issue: 250 year: 2005 end-page: 627 article-title: A fast sweeping method for eikonal equations publication-title: Mathematics of Computation – year: 2014 – start-page: 61 year: 1982 end-page: 67 – volume: 45 start-page: 38 issue: 1 year: 2003 end-page: 57 article-title: An overview of fractal antenna engineering research publication-title: IEEE Antennas and Propagation Magazine – year: 2010 – year: 2012 – year: 1986 – start-page: 289 year: 1989 end-page: 296 – year: 2002 – year: 1988 – year: 2006 – year: 2004 – volume: 357 start-page: 249 issue: 1 year: 1980 end-page: 259 article-title: Fractal aspects of the iteration of z → λz (1‐z) for complex λ and z publication-title: Annals of the New York Academy of Sciences – volume: 1 year: 2013 article-title: Special curves and post‐critically finite polynomials publication-title: Forum of Mathematics, Pi – volume: 53 start-page: 4655 issue: 12 year: 2007 end-page: 4666 article-title: Signal recovery from random measurements via orthogonal matching pursuit publication-title: IEEE Transactions on Information Theory – year: 2013 – ident: e_1_2_8_17_2 doi: 10.1145/1141911.1141983 – ident: e_1_2_8_26_2 doi: 10.1145/965145.801263 – ident: e_1_2_8_7_2 doi: 10.1016/S0017-9310(02)00013-3 – ident: e_1_2_8_16_2 – ident: e_1_2_8_32_2 – ident: e_1_2_8_19_2 – ident: e_1_2_8_37_2 doi: 10.1090/S0025-5718-04-01678-3 – ident: e_1_2_8_8_2 – ident: e_1_2_8_21_2 doi: 10.1017/etds.2014.8 – start-page: 709 volume-title: ACM Symposium on Theory of Computing year: 2007 ident: e_1_2_8_6_2 – ident: e_1_2_8_13_2 doi: 10.1090/S0002-9947-2012-05398-0 – ident: e_1_2_8_30_2 – volume-title: Eurographics STAR Reports year: 2010 ident: e_1_2_8_22_2 – ident: e_1_2_8_28_2 doi: 10.1109/InPar.2012.6339601 – ident: e_1_2_8_29_2 doi: 10.1007/978-3-642-61717-1 – ident: e_1_2_8_4_2 doi: 10.1017/fmp.2013.2 – volume: 164 start-page: 806 year: 1917 ident: e_1_2_8_12_2 article-title: Sur les substitutions rationnelles publication-title: Comp. Rend. heb. S. Acad, Sci – ident: e_1_2_8_5_2 doi: 10.1137/1.9780898719505 – ident: e_1_2_8_23_2 doi: 10.1111/j.1749-6632.1980.tb29690.x – start-page: 289 volume-title: Proceedings of SIGGRAPH year: 1989 ident: e_1_2_8_15_2 doi: 10.1145/74333.74363 – ident: e_1_2_8_33_2 doi: 10.1109/TIT.2007.909108 – ident: e_1_2_8_2_2 doi: 10.1145/1409060.1409118 – volume: 294 start-page: 123 year: 1982 ident: e_1_2_8_10_2 article-title: Itération des polynômes quadratiques complexes publication-title: CR Acad. Sci. Paris – ident: e_1_2_8_18_2 – ident: e_1_2_8_24_2 doi: 10.1119/1.13295 – ident: e_1_2_8_35_2 doi: 10.1109/MAP.2003.1189650 – volume-title: Fractals Everywhere year: 1988 ident: e_1_2_8_3_2 – ident: e_1_2_8_20_2 – ident: e_1_2_8_25_2 – ident: e_1_2_8_14_2 – ident: e_1_2_8_36_2 – volume-title: On the Geometry of IFS Fractals and its Applications year: 2013 ident: e_1_2_8_34_2 – volume-title: Numerical Optimization year: 2006 ident: e_1_2_8_27_2 – volume-title: A First Course in Chaotic Dynamical Systems year: 1992 ident: e_1_2_8_9_2 – volume-title: CUDA by Example: An Introduction to General‐Purpose GPU Programming year: 2010 ident: e_1_2_8_31_2 – volume-title: Texturing and Modeling: A Procedural Approach year: 2002 ident: e_1_2_8_11_2 |
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| Title | Quaternion Julia Set Shape Optimization |
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