11/15/2010
Math Modeling II, Fall 2010 (Dr. Xin Li)
1
Level Sets
Numerical Considerations
Lagrangian Formulation
•
Consider the curve
given by ø(x,y)=0.
c
r
•
Suppose that the velocity
is known for
every point on the curve.
•
To move the points on the curve with this
velocity, we need to solve
)
(
V
c
d
r
r
)
,
(
y
x
V
r
•
For every point (x,y) on the curve.
,
y
x
dt
=

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