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Unformatted text preview: variation interpolation on the problem instance with data given in tv_img_interp.m.
This will deﬁne m, n, and matrices Uorig and Known. The matrix Known is m × n, with (i, j ) entry
one if (i, j ) ∈ K, and zero otherwise. The mﬁle also has skeleton plotting code. (We give you
the entire original image so you can compare your reconstruction to the original; obviously your
orig
solution cannot access Uij for (i, j ) ∈ K.)
5.7 Piecewiselinear ﬁtting. In many applications some function in the model is not given by a formula,
but instead as tabulated data. The tabulated data could come from empirical measurements,
historical data, numerically evaluating some complex expression or solving some problem, for a set
of values of the argument. For use in a convex optimization model, we then have to ﬁt these data
with a convex function that is compatible with the solver or other system that we use. In this
problem we explore a very simple problem of this general type.
Suppose we are given the data (xi , yi ), i =...
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 Fall '13
 F.Borrelli
 The Aeneid

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