Injective shape deformations using cube-like cages

Jiri Kosinka; Michael Barton

doi:10.3722/cadaps.2010.309-318

Injective shape deformations using cube-like cages

Jiri Kosinka^*, Michael Barton

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The present paper investigates an application of Warren's 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.

Original language	English (US)
Pages (from-to)	309-318
Number of pages	10
Journal	Computer-Aided Design and Applications
Volume	7
Issue number	3
DOIs	https://doi.org/10.3722/cadaps.2010.309-318
State	Published - 2010

Keywords

Injectivity
Select barycentric coordinates
Shape deformation

ASJC Scopus subject areas

Computational Mechanics
Computer Graphics and Computer-Aided Design
Computational Mathematics

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10.3722/cadaps.2010.309-318

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title = "Injective shape deformations using cube-like cages",

abstract = "The present paper investigates an application of Warren's 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.",

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AB - The present paper investigates an application of Warren's 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.

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KW - Select barycentric coordinates

KW - Shape deformation

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DO - 10.3722/cadaps.2010.309-318

M3 - Article

AN - SCOPUS:77957232230

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JO - Computer-Aided Design and Applications

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Injective shape deformations using cube-like cages

Abstract

Keywords

ASJC Scopus subject areas

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