Stable Inverse Dynamic Curves

Alexandre Derouet-Jourdan 1, 2, * Florence Bertails-Descoubes 1, * Joëlle Thollot 2
* Corresponding author
1 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
2 ARTIS - Acquisition, representation and transformations for image synthesis
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
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.
Complete list of metadatas

Cited literature [21 references]  Display  Hide  Download


https://hal.inria.fr/inria-00518204
Contributor : Florence Bertails-Descoubes <>
Submitted on : Thursday, September 16, 2010 - 5:20:08 PM
Last modification on : Thursday, February 7, 2019 - 5:28:48 PM
Long-term archiving on : Friday, December 17, 2010 - 2:59:56 AM

Files

stableInverseDynamicCurvesSA.p...
Files produced by the author(s)

Identifiers

Citation

Alexandre Derouet-Jourdan, Florence Bertails-Descoubes, Joëlle Thollot. Stable Inverse Dynamic Curves. ACM Transactions on Graphics, Association for Computing Machinery, 2010, 29 (6), pp.137-137:9. ⟨10.1145/1866158.1866159⟩. ⟨inria-00518204⟩

Share

Metrics

Record views

736

Files downloads

893