Modeling time and topology for animation and visualization with examples on parametric geometry

Modeling time and topology for animation and visualization with examples on parametric geometry

The art of animation relies upon modeling objects that change over time. A sequence of static images is displayed to produce an illusion of motion. Even for simple cases, a careful analysis exposes that formal topological guarantees are often lacking. This absence of rigor can result in subtle, but...

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Bibliographic Details
Published in:Theoretical computer science Vol. 405; no. 1; pp. 41 - 49
Main Authors: Jordan, K.E., Miller, Lance E., Moore, E.L.F., Peters, T.J., Russell, Alexander
Format: Journal Article Conference Proceeding
Language:English
Published: Amsterdam Elsevier B.V 06-10-2008
Elsevier
Subjects:
Ambient isotopy
Animation
Applied sciences
Computational topology
Computer science; control theory; systems
Curve approximation
Exact sciences and technology
Miscellaneous
Temporal aliasing
Theoretical computing
Visualization
Ambient isotopy
Visualization
Animation
Curve approximation
Computational topology
Temporal aliasing
Motion
Approximation
Prototype
Computer theory
Continuous time
Topology
Image
Modeling
Surface
Geometry
Bézier curve
Aliasing
Object
Application
Online Access:Get full text
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Description
Summary:The art of animation relies upon modeling objects that change over time. A sequence of static images is displayed to produce an illusion of motion. Even for simple cases, a careful analysis exposes that formal topological guarantees are often lacking. This absence of rigor can result in subtle, but significant, topological flaws. A new modeling approach is proposed to integrate topological rigor with a continuous model of time. Examples will be given for Bézier curves, while indicating extensions to a richer class of parametric curves and surfaces. Applications to scientific visualization for molecular modeling are discussed. Prototype animations are available for viewing over the web.
ISSN:0304-3975
1879-2294
DOI:10.1016/j.tcs.2008.06.023