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
Compression
Shearing
Bending
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/