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In conclusion, we do not see any immediate action items.
The notion of minimizing Gaussian curvature
is appealing, but it is nonlinear,
which means that solutions depend on the starting location.
Physically, when flexing paper,
the final deformation probably depends on the deformation history.
For practical purposes the thin plate operator
is the Laplacian squared.
If we are going to try to minimize the Gaussian curvature,
a nonlinear criteria,
we should probably begin from
the thin plate which is unique.

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Stanford Exploration Project

4/27/2000