Space-time blending

This source preferred by Alexander Pasko

Authors: Pasko, G., Pasko, A. and Kunii, T.

http://www3.interscience.wiley.com/cgi-bin/abstract/108061199/ABSTRACT

Journal: Computer Animation and Virtual Worlds

Volume: 15

Pages: 109-121

ISSN: 1546-4261

DOI: 10.1002/cav.12

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.

This data was imported from Scopus:

Authors: Pasko, G., Pasko, A. and Kunii, T.

Journal: Computer Animation and Virtual Worlds

Volume: 15

Issue: 2

Pages: 109-121

ISSN: 1546-4261

DOI: 10.1002/cav.12

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.

This data was imported from Web of Science (Lite):

Authors: Pasko, G., Pasko, A. and Kunii, T.

Journal: COMPUTER ANIMATION AND VIRTUAL WORLDS

Volume: 15

Issue: 2

Pages: 109-121

eISSN: 1546-427X

ISSN: 1546-4261

DOI: 10.1002/cav.12

The data on this page was last updated at 04:42 on September 24, 2017.