Main
Project
Project Outline
Program for Project
Wang Tiles
Border Tile Set
Filling Tile Set
Construct Algorithm
Texture Synthesis
Solution 1
Solution 2
Image Gallery
References
 
 
About Me

References:

[1] Wang tile [online]. Available: http://en.wikipedia.org/wiki/Wang_tile [Accessed 2nd Sep 2005]
[2] Berger, R. (1996). The undecidability of the domino problem. Memoirs American Mathemathical Society, 66, 1-72
[3] Culik II, K. (1996). An aperiodic set of 13 Wang Tiles. Discrete Mathematics. 160, 245-251.
[4] Cohen, M.F., Shade, J., Hiller, S., Deussen, O. (2003). Wang Tiles for Image and Texture Generation. ACM Transactions on Graphics. July 2003.
[5] Stam, J. (1997) Aperiodic texture mapping. Tech. Rep., R046. European Research Consortium for Informatics and Mathematics (ERCIM).[online]. Available: http://www.ercim.org/publication/technical_reports/046-abstract.html [Accessed 13th Sep 2005]
[6] Efros, A., and Freeman, W. (2001). Image quilting for texture synthesis and transfer. In Proceedings of SIGGRAPH 2001, 341-346.
[7] Deussen, O., Hanrahan, P., Pharr, M., Lintermann, B., Mech, R., and Prusinkiewicz, P. (1998). Realistic modeling and rendering of plant ecosystems. In SIGGRAPH 98 Conference Proceedings, 275-286.
[8] Perbert, F., and Cani, M. (2001). Animating prairies in real-time. In 2001 ACM Symposion on Interactive 3D Graphics, 103-110.
[9] Shade, J., Cohen, M. F., and Mitchell, D. (2002). Tiling layered depth images. [online]. Available: ftp://ftp.cs.washington .edu/tr/2002/12/UW-CSE-02-12-07.pdf [Accessed 13th Sep 2005]
[10] Moore, C., Rapaport, I., Remila, E. (2002). Tiling groups for Wang tiles. In Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms. Jan 2002.
[11] Kaplan, C. S. 2000a. Computer generated islamic star patterns. In Bridges 2000 Proceedings, R. Sarhangi, Ed.
[12] Pegg, E. (1998). Chaos tiles rules. [online] Available: http://www.mathpuzzle.com/ [Accessed 22nd Sep 2005]
[13] Wonka, P., Wimmer, M., Sillion, F., Ribarsky, W. (2003) Instant Architecture. ACM Transactions on Graphics, July 2003, Vol 22, Num 3.
[14] Penrose, K. R. (1978) An aircraft simulation using a product of exponentials as matrizant. Proceedings of the 11th annual symposium on Simulation. Tampa, Florida, United States, Pages: 253 ¨C 269, 1978.
[15] Shade, J., Gortler, S., He, L., Szeliski, R. (1998) Layered Depth Images. Proceedings of SIGGRAPH 98, pages 231.242, July 1998.
[16] Kepler, J. (1619) Harmonices Mundi (Facsimile Edition: Forni Editore, Bologna (1969); Book II: On the congruence of harmonic figures. English translation by J. V. Field in Vistas in Astronomy 23, 109-141 (1979)).
[17] Lee, A.J. (1987). Islamic Star Patterns. In Muqarnas IV: An Annual on Islamic Art and Architecture. Oleg Grabar (ed.) Leiden: E.J. Brill.
[18] Berger, R. (1996) ¡°The undecidability of the domino problem.¡± Memoirs of the American Mathematical Society 66 (1996)
[19] Watt, A. (2000) 3D Computer Graphics, Third Ed. Addison-Wesley, London.
[20] Akenine-Moller, T., Haines, E. (2002) Real-time rendering, 2nd ed. Natick, Mass. : AK Peters, 2002.
[21] Polack, T. (2003) Focus on 3D terrain Programming. Cincinnati, OH : Premier Press, c2003
[22] Shankel, J. (2000) Fractual Terrain Generation. Game Programming Gems. Rockland, Massachusetts: Charles River Media, 2000.
[23] Watt, A., Watt, M. 1992, Advanced Animation and Rendering Techniques, Theory and Practice, Addison-Wesley Publishing Company, Inc.
[24] Woo, M., Neider, J., Davis, T (1997) OpenGL Programming Guide: the Official Guide to Learning OpenGL, 2nd edition. Reading, Mass. : Addison Wesley , c1997.


 

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