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ABSTRACT
We present a method for texture synthesis based on the simulation of a process of local nonlinear interaction, called reaction-diffusion, which has been proposed as a model of biological pattern formation. We extend traditional reaction-diffusion systems by allowing anisotropic and spatially non-uniform diffusion, as well as multiple competing directions of diffusion. We adapt reaction-diffusion system to the needs of computer graphics by presenting a method to synthesize patterns which compensate for the effects of non-uniform surface parameterization. Finally, we develop efficient algorithms for simulating reaction-diffusion systems and display a collection of resulting textures using standard texture- and displacement-mapping techniques.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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1
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Jonathan Bard and lan Lauder. How well does turing's theory of morphogenesis work? Journal of Theoretical Biology, 45:501-531, 1974.
|
| |
2
|
Jonathan B.L. Bard. A model for generating aspects of zebra and other mammalian coat patterns. Journal of Theoretical Biology, 93:501-531, 1981.
|
| |
3
|
|
| |
4
|
R. N. Bracewell. The Fourier Transform and its Applications. McGraw-Hill, New York, 1986.
|
| |
5
|
P. J. Burt. Fast hierarchical correlations with gaussianlike kernels. Technical Report TR 860, Dept. of Computer Science, U. of Maryland, 1980.
|
| |
6
|
|
| |
7
|
Andre Gagalowicz and Song De Ma. Sequential synthesis of natural textures. CVGIP, 30:289-315, 1985.
|
| |
8
|
W. Hackbusch. Multi-Grid Methods and Applications. Springer-Verlag, New York, 1985.
|
| |
9
|
|
| |
10
|
Granino Korn and Thresa Korn. Mathematical Handbook for Scientists and Engineers. McGraw Hill, New York, 1968.
|
| |
11
|
K. Kunish and H. Schelch. Parameter estimation in a special reaction-diffusion system modelling man-environment diseases. Journal of Mathematical Biology, 27(6):633-665, 1989.
|
| |
12
|
B. Mandelbrot. Fractals: Form, Chance, and Dimension. W.H. Freeman, San Fransico, 1977.
|
 |
13
|
|
| |
14
|
J. D. Murray. On pattern formation mechanisms for lepidopteran wing patterns and mammalian coat markings. Philosophical Transactions of the Royal Society (B), 295:473--496, 1981.
|
| |
15
|
J. D. Murray. A pre-pattern formation mechanism for animal coat markings. Journal of Theoretical Biology, 88:161- 199, 1981.
|
| |
16
|
A. Openheim and R. Schafer. Digital Signal Processing. Prentice-Hall, Englewood Cliffs, New Jersey, 1975.
|
 |
17
|
|
 |
18
|
|
| |
19
|
C. Price, P. Wambacq, and A. Ooosterlinck. Applications of reaction-diffusion equations to image processing. In Third Int. Conf. on Image Processing and its Applications, pages 49-53, 1989.
|
| |
20
|
Karl Sims. Leonardo's deluge (video). Siggraph '89 Computer Graphics Theater, 1989.
|
| |
21
|
M. Spivak. A Comprehensive Introduction to Differential Geometry (5 vols). Publish or Perish Press, 1975.
|
| |
22
|
N.V. Swindale. A model for the formation of ocular dominance stripes. Philosophical Transactions of the Royal Society (B), 208:243-264, 1980.
|
| |
23
|
Alan Turing. The chemical basis of morphogenesis. Philosophical Transactions of the Royal Society (B), 237:37-72, 1952.
|
| |
24
|
|
| |
25
|
David Young. A local activator-inhibitor model of vertebrate skin patterns. MathematicalBiosciences, 72( l ), 1984.
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CITED BY 67
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S. MacDonald , J. Anvik , S. Bromling , J. Schaeffer , D. Szafron , K. Tan, From patterns to frameworks to parallel programs, Parallel Computing, v.28 n.12, p.1663-1683, December 2002
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Stephane Merillou , Jean-Michel Dischler , Djamchid Ghazanfarpour, Corrosion: simulating and rendering, No description on Graphics interface 2001, p.167-174, June 07-09, 2001, Ottawa, Ontario, Canada
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Yanyun Chen , Lin Xia , Tien-Tsin Wong , Xin Tong , Hujun Bao , Baining Guo , Heung-Yeung Shum, Visual simulation of weathering by γ-ton tracing, ACM Transactions on Graphics (TOG), v.24 n.3, July 2005
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Steffen Staab , Francis Heylighen , Carlos Gershenson , Gary William Flake , David M. Pennock , Daniel C. Fain , David De Roure , Karl Aberer , Wei-Min Shen , Olivier Dousse , Patrick Thiran, Neurons, Viscose Fluids, Freshwater Polyp Hydra-and Self-Organizing Information Systems, IEEE Intelligent Systems, v.18 n.4, p.72-86, July/August 2003
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Jiaping Wang , Xin Tong , Stephen Lin , Minghao Pan , Chao Wang , Hujun Bao , Baining Guo , Heung-Yeung Shum, Appearance manifolds for modeling time-variant appearance of materials, ACM Transactions on Graphics (TOG), v.25 n.3, July 2006
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Adam W. Bargteil , Funshing Sin , Jonathan E. Michaels , Tolga G. Goktekin , James F. O'Brien, A texture synthesis method for liquid animations, Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation, September 02-04, 2006, Vienna, Austria
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Nathan A. Carr , Jared Hoberock , Keenan Crane , John C. Hart, Rectangular multi-chart geometry images, Proceedings of the fourth Eurographics symposium on Geometry processing, June 26-28, 2006, Cagliari, Sardinia, Italy
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