2004年5月
Space-time blending
COMPUTER ANIMATION AND VIRTUAL WORLDS
- ,
- ,
- 巻
- 15
- 号
- 2
- 開始ページ
- 109
- 終了ページ
- 121
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1002/cav.12
- 出版者・発行元
- WILEY-BLACKWELL
Shape transformation between objects of different topology and positions in space is all 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 wider the transformation. The additional dimension is considered as a time coordinate for making animation. We use the bounded blending set operations ill 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 surface. The obtained unusual amoeba-like behaviour of the shape combines metamorphosis with the non-linear motion. Copyright (C) 2004 John Wiley & Sons, Ltd.
- リンク情報
- ID情報
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- DOI : 10.1002/cav.12
- ISSN : 1546-4261
- eISSN : 1546-427X
- Web of Science ID : WOS:000207449000005