Intrinsic subdivision with smooth limits for graphics and animation

Johannes Wallner; Helmut Pottmann

doi:10.1145/1138450.1138459

Intrinsic subdivision with smooth limits for graphics and animation

Johannes Wallner^*, Helmut Pottmann

^*Corresponding author for this work

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

30 Scopus citations

Abstract

This article demonstrates the definition of subdivision processes in nonlinear geometries such that smoothness of limits can be proved. We deal with curve subdivision in the presence of obstacles, in surfaces, in Riemannian manifolds, and in the Euclidean motion group. We show how to model kinematic surfaces and motions in the presence of obstacles via subdivision. As to numerics, we consider the sensitivity of the limit's smoothness to sloppy computing.

Original language	English (US)
Pages (from-to)	356-374
Number of pages	19
Journal	ACM transactions on graphics
Volume	25
Issue number	2
DOIs	https://doi.org/10.1145/1138450.1138459
State	Published - Apr 2006
Externally published	Yes

Keywords

Computing in nonlinear geometries
Geodesic subdivision
Motion design
Nonlinear subdivision
Obstacles
Smoothness
Subdivision in surfaces

ASJC Scopus subject areas

Computer Graphics and Computer-Aided Design

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10.1145/1138450.1138459

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abstract = "This article demonstrates the definition of subdivision processes in nonlinear geometries such that smoothness of limits can be proved. We deal with curve subdivision in the presence of obstacles, in surfaces, in Riemannian manifolds, and in the Euclidean motion group. We show how to model kinematic surfaces and motions in the presence of obstacles via subdivision. As to numerics, we consider the sensitivity of the limit's smoothness to sloppy computing.",

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AB - This article demonstrates the definition of subdivision processes in nonlinear geometries such that smoothness of limits can be proved. We deal with curve subdivision in the presence of obstacles, in surfaces, in Riemannian manifolds, and in the Euclidean motion group. We show how to model kinematic surfaces and motions in the presence of obstacles via subdivision. As to numerics, we consider the sensitivity of the limit's smoothness to sloppy computing.

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KW - Geodesic subdivision

KW - Motion design

KW - Nonlinear subdivision

KW - Obstacles

KW - Smoothness

KW - Subdivision in surfaces

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Intrinsic subdivision with smooth limits for graphics and animation

Abstract

Keywords

ASJC Scopus subject areas

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