Marbling-based creative modelling
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Most mathematical marbling simulations generate patterns for texture mapping and surface decoration. We explore the application of three-dimensional deformations inspired by mathematical marbling as a suite of tools to enable creative shape design. Our tools are expressed as analytical functions of space and are volume-preserving vector fields, meaning that the modelling process preserves volumes and avoids self-intersections. Complicated deformations are easily combined to create complex objects from simple ones. To achieve smooth and high-quality shapes, we also present a mesh refinement and simplification algorithm adapted to our deformations. We show a number of examples of shapes created with our technique in order to demonstrate its power and expressiveness.
KeywordsComputational geometry Shape modelling Volume-preserving vector fields Marbling art
Shufang Lu was supported by the National Natural Science Foundation of China (Grant No. 61402410) and the China Scholarship Council. Xiaogang Jin was supported by the National Natural Science Foundation of China (Grant No. 61472351).
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- 7.Blanc, C.: Generic implementation of axial deformation techniques. Graph. Gems 5, 249–256 (1995)Google Scholar
- 16.Hughes, J.F., Van Dam, A., McGuire, M., Sklar, D., Foley, J.D., Feiner, S.K., Akeley, K.: Computer Graphics: Principles and Practice, 3rd edn. Addison Wesley, Boston (2014)Google Scholar
- 21.Maurer-Mathison, D.V.: The Ultimate Marbling Handbook: A Guide to Basic and Advanced Techniques for Marbling Paper and Fabric. Watson-Guptill, New York (1999)Google Scholar
- 24.Schmitt, B., Pasko, A., Schlick, C.: Shape-driven deformations of functionally defined heterogeneous volumetric objects. In: GRAPHITE2003, ACM, New York, 127–134 2003Google Scholar
- 26.Sieger, D., Menzel, S., Botsch, M.: On shape deformation techniques for simulation-based design optimization. In: New Challenges in Grid Generation and Adaptivity for Scientific Computing, Springer, Berlin, 281–303 2015Google Scholar
- 27.Singh, K., Fiume, E.: Wires: a geometric deformation technique. In: Proceedings of the 25th Annual Conference on Computer Graphics and Interactive Techniques, ACM, New York, 405–414 1998Google Scholar
- 29.Von Funck, W., Theisel, H., Seidel, H.P.: Explicit control of vector field based shape deformations. In: 15th Pacific Conference on Computer Graphics and Applications, 2007. PG’07, pp. 291–300. IEEE, Piscataway (2007)Google Scholar