inria-00518204, version 1
Stable Inverse Dynamic Curves
Alexandre Derouet-Jourdan
a, 1, 2Florence Bertails-Descoubes
1Joëlle Thollot
b, 2
ACM Transactions on Graphics (Proceedings of SIGGRAPH Asia 2010) (2010)
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.
- a – INRIA
- b – INRIA Rhône-Alpes - Grenoble University
- 1: BIPOP (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann)
- INRIA – Laboratoire Jean Kuntzmann
- 2: ARTIS (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann)
- CNRS : FR71 – INRIA – Laboratoire Jean Kuntzmann – CNRS : UMR5224 – Université Joseph Fourier - Grenoble I – Institut National Polytechnique de Grenoble (INPG)
- Domain : Computer Science/Computer Graphics and Virtual Reality
Computer Science/Modeling and Simulation - Comment : To appear
- inria-00518204, version 1
- http://hal.inria.fr/inria-00518204
- oai:hal.inria.fr:inria-00518204
- From: Florence Bertails-Descoubes
- Submitted on: Thursday, 16 September 2010 17:20:08
- Updated on: Thursday, 23 September 2010 15:07:18







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