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Soap film smoothing

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Conventional smoothing methods can perform poorly within complicated domains where the boundary represents some sort of meaningful barrier. In particular it is often important not to `smooth across’ boundary features. I discuss the construction of a finite area smoother based on the notion of interpolating some boundary condition using a soap film, and then allowing the film to distort from its minimum energy configuration to approximate data. The resulting smooth can be represented using a linear basis expansion with quadratic penalty, making it easy to incorporate as a component of many statistical models.

This talk is part of the Statistics series.

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