A constrained optimization type of numerical algorithm for removing noise from images is
presented. The total variation of the image is minimized subject to constraints involving the
statistics of the noise. The constraints are imposed using Lanrange multipliers. The solution
is obtained using the gradient-projection method. This amounts to solving a time dependent
partial differential equation on a manifold determined by the constraints. As t→∞ the
solution converges to a steady state which is the denoised image. The numerical algorithm …