Numerical methods for approximating digitized curves by piecewise circular arcs
Proceedings of the 6th international congress on Computational and applied mathematics
As-rigid-as-possible shape interpolation
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Faking Dynamics of Ropes and Springs
IEEE Computer Graphics and Applications
Pattern Recognition Letters
Super-helices for predicting the dynamics of natural hair
ACM SIGGRAPH 2006 Papers
Oriented strands: dynamics of stiff multi-body system
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
SMI '07 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2007
CoRdE: Cosserat rod elements for the dynamic simulation of one-dimensional elastic objects
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Geometrically exact dynamic splines
Computer-Aided Design
A mass spring model for hair simulation
ACM SIGGRAPH 2008 papers
Approximation of an open polygonal curve with a minimum number of circular arcs and biarcs
Computational Geometry: Theory and Applications
Real-time control of physically based simulations using gentle forces
ACM SIGGRAPH Asia 2008 papers
N-way morphing for 2D animation
Computer Animation and Virtual Worlds - CASA' 2009 Special Issue
Sketch-Based Interfaces and Modeling (SBIM): Sketching piecewise clothoid curves
Computers and Graphics
Sensitive couture for interactive garment modeling and editing
ACM SIGGRAPH 2011 papers
Optimization for sag-free simulations
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Neatening sketched strokes using piecewise French curves
Proceedings of the Eighth Eurographics Symposium on Sketch-Based Interfaces and Modeling
3D inverse dynamic modeling of strands
ACM SIGGRAPH 2011 Posters
SMI 2012: Short A nonlinear static approach for curve editing
Computers and Graphics
Computer Graphics Forum
Computational Design of Rubber Balloons
Computer Graphics Forum
Make it stand: balancing shapes for 3D fabrication
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Interactive authoring of simulation-ready plants
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Floating tangents for approximating spatial curves with G1 piecewise helices
Computer Aided Geometric Design
Inverse dynamic hair modeling with frictional contact
ACM Transactions on Graphics (TOG)
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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.