Stable inverse dynamic curves

8 years 6 months ago
Stable inverse dynamic curves
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. CR Categories: I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism--Animation
Alexandre Derouet-Jourdan, Florence Bertails-Desco
Added 22 May 2011
Updated 22 May 2011
Type Journal
Year 2010
Where TOG
Authors Alexandre Derouet-Jourdan, Florence Bertails-Descoubes, Joëlle Thollot
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