Predicting the Drape of Woven Cloth Using Interactive Particles

David E. Breen Donald H. House

Michael J. Wonzy

Cloth Simulation• Cloth can be represented as spatially couple particles

• Particles represent the crossing points of the warp and weft threads

• Energy equations are then used to simulate interactions between the particles

Energy Equations

• Four basic mechanical interactions occur at the crossing points: thread collisions, thread stretching, bending, and trellising.

Urepel - artificial force of repulsion helping prevent thread collision

Ustrech - energy of tensile strain between particle and four neighbors

Ubend - energy due to threads bending out of local plane of cloth

Utrellis - energy due to bending around a thread crossing in the plane

Ugrav - potential energy due to gravity as a function of height

Repelling and Stretching

The stretching and repelling functions are both functions of the distance to other particles in the cloth. The repelling function is a sum of S for all particles in the cloth while the stretching functions is a sum of R for its four connected neighbors.

Bending and Trellising

The B energy is a function of the angle between three particles along a weft or warp thread. The bending energy is a summation of the B for the eight nearest neighbors.

The T energy is a function of the angle formed between a particle and its two neighbors as it moves away from equilibrium. The trellis energy is a summation of T for the particles four nearest neighbors.

Energy Equations

Three Phase Process

First Phase: Calculate the dynamics of each particle as if it were falling freely under gravity in a viscous medium.

Second Phase: Perform energy minimization to enforce interparticle constraints.

Third Phase: Corrects the velocity of the particles to account for the second phase.

Different Cloth

Problem: Different types of cloth behave differently due to the different materials and weaves.

Kawabata Evaluation System

• Standard set of fabric measuring equipment to measure the bending, shearing, tensile, compressibility, and surface roughness of a specific fabric.

• Generates plots of force as a function of measured geometric deformation.

• Energy equations for the type of cloth are derived from the empirical data.

KES

Tensile Shearing Bending

Compression Surface Properties

Kawabata Plots

Results

Results

Other Cloth Simulations

Maria Huang, Bradley D. Nelson

http://graphics.stanford.edu/courses/cs348b-competition/cs348b-99/

Other Cloth Simulations

http://www.cg.tuwien.ac.at/research/vr/studierstube/naehstube/

Other Cloth Simulations

http://www.cg.tuwien.ac.at/research/vr/studierstube/naehstube/

Other Cloth Simulations

http://www.cg.tuwien.ac.at/research/vr/studierstube/naehstube/