# Optimal approximations by piecewise smooth functions and associated variational problems

@inproceedings{Mumford1989OptimalAB, title={Optimal approximations by piecewise smooth functions and associated variational problems}, author={David K. Mumford and Jayant Shah}, year={1989} }

- Published 1989
DOI:10.1002/cpa.3160420503

Abstract : This reprint will introduce and study the most basic properties of three new variational problems which are suggested by applications to computer vision. In computer vision, a fundamental problem is to appropriately decompose the domain R of a function g (x,y) of two variables. This problem starts by describing the physical situation which produces images: assume that a three-dimensional world is observed by an eye or camera from some point P and that g1(rho) represents the intensity… CONTINUE READING

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