SLIDE 1
Simulation with Meshes
CS 176 Winter 2011
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Animation
Example: Cloth
time evolution of a mesh subject to
internal forces
stretch and bending CS 176 Winter 2011
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stretch and bending
external forces
gravity, drag, user applied forces
setting it up
From Volino & Magnenat-Thalmann
Setup
Vertices as functions of time
position, velocity, acceleration
d d ( d )
CS 176 Winter 2011
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time dependence (first order)
Discretization
Time stepping
forward Euler
b k d l
CS 176 Winter 2011
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backward Euler
implicit equation! BUT: stable!
Implicit Solution
Simple approach
linearize f (Taylor series to 1st order)
CS 176 Winter 2011
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Time Stepping
Final equation
CS 176 Winter 2011
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