科研之友
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摘要
We develop a simple algorithm for finding the minimizer of the function E(x)=Sigma(n)(i)=(1)w(i)vertical bar x-a(i)vertical bar F(x), when the w(i) are nonnegative and F is strictly convex. If F is also different tiable and F' is bijective, we obtain an explicit formula in terms of a median. This enables us to obtain approximate solutions to certain important variational problems arising in image denoising. We also present a generalization with E(x)=J(x) F(x) for J(x) a convex piecewise differentiable function with a finite number of nondifferentiable points.
- 出版日期2009-9
