Space-time modeling and analysis
Proceedings of the 20th spring conference on Computer graphics
Space-time blending with improved user control in real-time
ACM SIGGRAPH ASIA 2010 Sketches
Real-time space-time blending with improved user control
MIG'10 Proceedings of the Third international conference on Motion in games
Efficient evaluation of continuous signed distance to a polygonal mesh
Proceedings of the 28th Spring Conference on Computer Graphics
SMI 2013: Morphological shape generation through user-controlled group metamorphosis
Computers and Graphics
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Shape transformation between objects of different topology and positions in space is an open modelling problem. We propose a new approach to solving this problem for two given 2D or 3D shapes. The key steps of the proposed algorithm are: increase dimension by converting two input kD shapes into half-cylinders in (k+1)D space–time, applying bounded blending with added material to the half-cylinders, and making cross-sections for getting intermediate shapes under the transformation. The additional dimension is considered as a time coordinate for making animation. We use the bounded blending set operations in space–time defined using R-functions and displacement functions with the localized area of influence applied to the functionally defined half-cylinders. The proposed approach is general enough to handle input shapes with arbitrary topology defined as polygonal objects with holes and disjoint components, set-theoretic objects, or analytically defined implicit surfaces. The obtained unusual amoeba-like behaviour of the shape combines metamorphosis with the non-linear motion. Copyright © 2004 John Wiley & Sons, Ltd.