= Box-constrained TV-L1 denoising
{title2=$\min_{0\leq u\leq1}\|u-f\|_1+\lambda\operatorname{TV}_{\rm iso}(u)$}
This finite-image <convex optimization> model combines robust <L1 norm> fidelity with <discrete isotropic total variation> and pixel-range constraints. An exact <second-order cone program> uses two orthant fidelity slacks per pixel, two box slacks per pixel and a three-dimensional <Lorentz cone> for each gradient magnitude. The product canonical barrier has parameter $6n$ for $n$ pixels.
Back to article page
