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Copyright:
1996, 1999, 2006
J.A. Sethian

Evolving Curves: Curvature Flow
One illustration of level set methods is the
collapse of a curve under
curvature.
A remarkable theorem shows that any curve moving its normal direction
with a speed proportional to its curvature most collapse
smoothly to a single point and then disappear.
For details, see the section on
curvature flow.
As illustration, using the mouse, click points on a curve, and then
click the box to connect the points. The curve will then move according
to its curvature and both smooth itself out and disappear.
It doesn't matter how many twists and bends are in the initial
curve; it will still smooth itself out quickly and then disappear.
Instructions: Using your mouse, click several points above to define the
vertices
of a polygon. When you are finished
entering the points, press the "Draw Curve" button. This
will connect the vertices and begin the Level Set Evolution
process. Press "Stop" to end the program before completion.
To do it again, reload the page.
Some things to watch out for:
 Long skinny arms shrink the fastest.
 Once the drawing becomes circular, it will slow down as it
disappears. If there are lots of skinny arms in the drawing, those will
disappear first.
 If the initial curve is not
simple (for example, a figure
eight), the algorithm will view it as two separate curves, and
each will shrink to a circle and disappears.
If You Want To Learn More:
An introductory resource about level set methods and applications:

