2D Shape Transformation Using 3D Blending

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2D Shape Transformation Using 3D Blending
Computer animation is one of the key components of a multimedia document or presentation. Shape transformation between objects of different topology and positions is an open modeling problem in computer animation. We propose a new approach to solving this problem for two given 2D shapes. The key steps of the proposed algorithm are: dimension increase by converting input 2D shapes into halfcylinders in 3D space, bounded blending with added material between the half-cylinders, and making cross-sections for getting frames of the animation. We use the bounded blending set operations defined using R-functions and displacement functions with the localized area of influence applied to the functionally defined 3D half-cylinders. The proposed approach is general enough to handle input shapes with arbitrary topology defined as polygons with holes and disjoint components, set-theoretic objects, or analytical implicit curves. The obtained unusual amoeba-like behavior of the 2D shape combines meta...
Galina Pasko, Alexander A. Pasko, M. Ikeda, Tosiya
Added 05 Jul 2010
Updated 05 Jul 2010
Type Conference
Year 2003
Where MMM
Authors Galina Pasko, Alexander A. Pasko, M. Ikeda, Tosiyasu L. Kunii
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