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CONCLUSION

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.


next up previous print clean
Next: REFERENCES Up: Claerbout & Fomel: Gaussian Previous: Thin-plate versus biharmonic equation
Stanford Exploration Project
4/27/2000