On a Family of Symmetric, Connected and High Genus Sculptures
Inhaltsverzeichnis
Reference
Ergun Akleman and Cem Yuksel: On a Family of Symmetric, Connected and High Genus Sculptures. In: Bridges 2006. Pages 145–150
DOI
Abstract
This paper introduces a design guideline to construct a family of symmetric, connected sculptures with high number of holes and handles. Our guideline provides users a creative flexibility. Using this design guideline, sculptors can easily create a wide variety of sculptures with a similar conceptual form.
Extended Abstract
Bibtex
Used References
[1] E. Akleman. Viza 656 - image synthesis; see volume rendering homeworks spring 2004-2005. http://www-viz.tamu.edu/courses/viza656/index.html, 2005.
[2] E. Akleman. Viza 657 - computer aided sculpting. http://www-viz.tamu.edu/courses/viza657/index.html, 2005.
[3] E. Akleman and J. Chen. Guaranteeing the 2-manifold property for meshes with doubly linked face list. International Journal of Shape Modeling, 5(2):149–177, 1999.
[4] E. Akleman and V. Srinivasan. Honeycomb subdivision. In Proceedings of ISCIS’02, 17th International Symposium on Computer and Information Sciences, volume 17, pages 137–141, November 2002.
[5] E. Akleman, V. Srinivasan, and J. Chen. Interactive rind modeling. In Proceedings of the International Conference on Shape Modeling and Applications, pages 23–31, 2003.
[6] E. Catmull and J. Clark. Recursively generated b-spline surfaces on arbitrary topological meshes. Computer Aided Design, (10):350–355, 1978.
[7] P. Cromwell. Polyhedra. Cambridge University Press, 1997.
[8] D. Doo and M. Sabin. Behavior of recursive subdivision surfaces near extraordinary points. Computer Aided Design, (10):356–360, 1978.
[9] J. Chen E. Akleman and V. Srinivasan. A minimal and complete set of operators for the development of robust manifold mesh modelers. Graphical Models Journal, Special issue on International Conference on Shape Modeling and Applications 2002, 65(2):286–304, 2003.
[10] H. Ferguson, A. Rockwood, and J. Cox. Topological design of sculptured surfaces. In Proceedings of SIGGRAPH 1992, Computer Graphics Proceedings, Annual Conference Series, pages 149–156. ACM, ACM Press / ACM SIGGRAPH, 1992.
[11] Heleman Ferguson. Sculptures,. http://www.helasculpt.com, 2005.
[12] Batsheba Grossman. Sculptures,. http://www.bathsheba.com/, 2005.
[13] B. Grunbaum and G. Shephard. Tilings and Patterns. W. H. Freeman and Co, NY, 1987.
[14] George Hart. Sculptures,. http://www.georgehart.com, 2005.
[15] E. Landreneau, E. Akleman, and V. Srinivasan. Local mesh operations, extrusions revisited. In Pro- ceedings of the International Conference on Shape Modeling and Applications, pages 351 – 356, 2005.
[16] Carlo Sequin. Sculptures,. http://www.cs.berkeley.edu/ sequin/, 2005.
[17] V. Srinivasan, E. Akleman, , and J. Chen. Interactive construction of multi-segment curved handles. In Proceedings of 10th Pacific Conference on Computer Graphics and Applications, pages 429–435, 2002.
[18] I. Stewart. Game, Set and Math: Enigmas and Conundrums. Penguin Books, London, 1991.
[19] S. Takahashi, Y. Shinagawa, and T. L. Kunii. A feature-based approach for smooth surfaces. In Pro- ceedings of Fourth Symposium on Solid Modeling, pages 97–110, 1997.
[20] W. Welch and A. Witkin. Free-form shape design using triangulated surfaces. In Proceedings of SIGGRAPH 1994, Computer Graphics Proceedings, Annual Conference Series, pages 247–256. ACM, ACM Press / ACM SIGGRAPH, 1994.
[21] D. Wells. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, 1991.
[22] R. Williams. The Geometrical Foundation of Natural Structures. Dover Publications, Inc., 1972.
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Full Text
http://archive.bridgesmathart.org/2006/bridges2006-145.pdf
