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Author
Kosinka, J.; Barton, M.
Title
Injective shape deformations using cube-like cages
Type
Journal Article
Year
2010
Publication
Computer-Aided Design and Applications
Abbreviated Journal
Volume
7
Issue
3
Pages
309-318
Keywords
Computational mechanics;Geometry;Topology;
Abstract
The present paper investigates an application of Warrens coordinates for convex polytopes to space deformations. We show that the use of cube-like cages presents a good compromise between the degrees of freedom of the deformation and the complexity of the mapping itself. As our main result we give simple sufficient conditions on injectivity of deformations based on cube-like cages. © CAD Solutions, LLC.
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Place of Publication
P. O. Box 48693, Tampa, FL 33647-0123, United States
Editor
Language
Summary Language
Original Title
Series Editor
Series Title
Abbreviated Series Title
Series Volume
Series Issue
Edition
ISSN
1686-4360
ISBN
Medium
Area
Expedition
Conference
Notes
Barycentric coordinates;Convex polytopes;Degrees of freedom;Injectivity;Shape deformation;Space deformation;Sufficient conditions;
Approved
no
Call Number
refbase @ user @ Kosinka2010
Serial
11678
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