A Nonsmooth Newton Solver for Capturing Exact Coulomb Friction in Fiber Assemblies

We focus on the challenging problem of simulating thin elastic rods in contact, in the presence of friction. Most previous approaches in computer graphics rely on a linear complementarity formulation for handling contact in a stable way, and approximate Coulombs’s friction law for making the problem tractable. In contrast, following the seminal work by Alart […]

Posted by christopherbatty on February 2nd, 2011 | Comments Off on A Nonsmooth Newton Solver for Capturing Exact Coulomb Friction in Fiber Assemblies Posted in Hair/Rods/Rope, Rods

Hybrid Multiresolution Wire

We describe a method for the visual interactive simulation of wires contacting with rigid multibodies. The physical model used is a hybrid combining lumped elements and massless quasistatic representations. The latter is based on a kinematic constraint preserving the total length of the wire along a segmented path which can involve multiple bodies simultaneously and […]

Posted by christopherbatty on January 2nd, 2011 | Comments Off on Hybrid Multiresolution Wire Posted in Hair/Rods/Rope, Rigid bodies

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 […]

Posted by christopherbatty on September 17th, 2010 | Comments Off on Stable Inverse Dynamic Curves Posted in Hair/Rods/Rope, Rods

Discrete Viscous Threads

We present a continuum-based discrete model for thin threads of viscous fluid by drawing upon the Rayleigh analogy to elastic rods, demonstrating canonical coiling, folding, and breakup in dynamic simulations. Our derivation emphasizes space-time symmetry, which sheds light on the role of time-parallel transport in eliminating — without approximation — all but an O(n) band […]

Posted by christopherbatty on May 26th, 2010 | Comments Off on Discrete Viscous Threads Posted in Fluids, Hair/Rods/Rope, Rods

Unified Simulation of Elastic Rods, Shells, and Solids

We develop an accurate, unified treatment of elastica. Following the method of resultant-based formulation to its logical extreme, we derive a higher-order integration rule, or elaston, measuring stretching, shearing, bending, and twisting along any axis. The theory and accompanying implementation do not distinguish between forms of different dimension (solids, shells, rods), nor between manifold regions […]

Posted by christopherbatty on May 5th, 2010 | 1 Comment Posted in Cloth, Deformables, Hair/Rods/Rope, Rods, Shells, Uncategorized

Linear Time Super-Helices

Thin elastic rods such as cables, phone coils, tree branches, or hair, are common objects in the real world but computing their dynamics accurately remains challenging. The recent Super-Helix model, based on the discrete equations of Kirchhoff for a piecewise helical rod, is one of the most promising models for simulating non-stretchable rods that can […]

Posted by christopherbatty on January 15th, 2009 | Comments Off on Linear Time Super-Helices Posted in Hair/Rods/Rope, Rods

Cosserat Nets

Cosserat nets are networks of elastic rods that are linked by elastic joints. They allow to represent a large variety of objects such as elastic rings, coarse nets, or truss structures. In this paper, we propose a novel approach to model and dynamically simulate such Cosserat nets. We first derive the static equilibrium of the […]

Posted by christopherbatty on August 26th, 2008 | Comments Off on Cosserat Nets Posted in Hair/Rods/Rope

A Mass Spring Model for Hair Simulation

Our goal is to simulate the full hair geometry, consisting of ap- proximately one hundred thousand hairs on a typical human head. This will require scalable methods that can simulate every hair as opposed to only a few guide hairs. Novel to this approach is that the individual hair/hair interactions can be modeled with physical […]

Posted by christopherbatty on May 29th, 2008 | 4 Comments Posted in Hair/Rods/Rope

Discrete Elastic Rods

We present a discrete treatment of adapted framed curves, parallel transport, and holonomy, thus establishing the language for a discrete geometric model of thin flexible rods with arbitrary cross section and undeformed configuration. Our approach differs from existing simulation techniques in the graphics and mechanics literature both in the kinematic description — we represent the […]

Posted by christopherbatty on May 7th, 2008 | Comments Off on Discrete Elastic Rods Posted in Hair/Rods/Rope

CORDE: Cosserat Rod Elements for the Dynamic Simulation of One-Dimensional Elastic Objects

Simulating one-dimensional elastic objects such as threads, ropes or hair strands is a difficult problem, especially if material torsion is considered. In this paper, we present CORDE(french ’rope’), a novel deformation model for the dynamic interactive simulation of elastic rods with torsion. We derive continuous energies for a dynamically deforming rod based on the Cosserat […]

Posted by christopherbatty on June 6th, 2007 | Comments Off on CORDE: Cosserat Rod Elements for the Dynamic Simulation of One-Dimensional Elastic Objects Posted in Deformables, Hair/Rods/Rope
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