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math.AP2011
Nonlinear optimization in Hilbert space using Sobolev gradients with applications
Parimah Kazemi, Robert Renka
The problem of finding roots or solutions of a nonlinear partial differential equation may be formulated as the problem of minimizing a sum of squared residuals. One then defines a…
math.AP2011
Sobolev gradients and image interpolation
Parimah Kazemi, Ionut Danaila
We present here a new image inpainting algorithm based on the Sobolev gradient method in conjunction with the Navier-Stokes model. The original model of Bertalmio et al is reformul…