Dynamic simulation of non-penetrating flexible bodies
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Removing the stiffness of curvature in computing 3-D filaments
Journal of Computational Physics
The Mathematica book (4th edition)
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Natural hairstyle modeling and animation
Graphical Models
A practical model for hair mutual interactions
Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation
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SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
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Adaptive Grouping and Subdivision for Simulating Hair Dynamics
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Simulating complex hair with robust collision handling
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Animating strings with twisting, tearing and flicking effects
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Inverse dynamic hair modeling with frictional contact
ACM Transactions on Graphics (TOG)
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Simulating human hair is recognized as one of the most difficult tasks in computer animation. In this paper, we show that the Kirchhoff equations for dynamic, inextensible elastic rods can be used for accurately predicting hair motion. These equations fully account for the nonlinear behavior of hair strands with respect to bending and twisting. We introduce a novel deformable model for solving them: each strand is represented by a Super-Helix, i.e., a piecewise helical rod which is animated using the principles of Lagrangian mechanics. This results in a realistic and stable simulation, allowing large time steps. Our second contribution is an in-depth validation of the Super-Helix model, carried out through a series of experiments based on the comparison of real and simulated hair motions. We show that our model efficiently handles a wide range of hair types with a high level of realism.