Title
Stable inverse dynamic curves
Abstract
2d animation is a traditional but fascinating domain that has recently regained popularity both in animated movies and video games. This paper introduces a method for automatically converting a smooth sketched curve into a 2d dynamic curve at stable equilibrium under gravity. The curve can then be physically animated to produce secondary motions in 2d animations or simple video games. Our approach proceeds in two steps. We first present a new technique to fit a smooth piecewise circular arcs curve to a sketched curve. Then we show how to compute the physical parameters of a dynamic rod model (super-circle) so that its stable rest shape under gravity exactly matches the fitted circular arcs curve. We demonstrate the interactivity and controllability of our approach on various examples where a user can intuitively setup efficient and precise 2d animations by specifying the input geometry.
Year
DOI
Venue
2010
10.1145/1882261.1866159
ACM Transactions on Graphics
Keywords
Field
DocType
2d curve,elastica,inverse statics,stable equilibrium
Inverse,Mathematical optimization,Arc (geometry),Computer graphics (images),Controllability,Computer science,Stable equilibrium,Animation,Piecewise
Journal
Volume
Issue
ISSN
29
6
0730-0301
Citations 
PageRank 
References 
19
1.05
21
Authors
3
Name
Order
Citations
PageRank
Alexandre Derouet-Jourdan1222.45
Florence Bertails-Descoubes21398.94
Joëlle Thollot374537.34