The scalar weights the smoothness term relative to the data fitting term, and should be chosen appropriately for the amount of noise expected in the (B_{ij}) measurements.
The regularization method was proposed by Tikhonov (1963), and the L-curve (Hansen 1992) was presented for selecting the regularization parameters which balance the data fitting term and trade-off function.
Specifically, inspired by multi-atlas based label fusion, the data fitting term is designed to integrate the contributions from multi-atlas surfaces adaptively, according to the similarities of their local cortical folding with that of the subject cortical surface.
This paper first reviews the current state-of-the-art numerical methods for such models and observes that the nonlinear fitting term is mostly 'avoided' in developing fast multigrid methods.
Specifically, in the spirit of multi-atlas based label fusion, the data fitting term is designed to integrate adaptive contributions from multi-atlas surfaces, according to the similarity of their local cortical folding with that of the subject surface.
(Well, O.K., "working" may not be the most fitting term).
It is hard to design a fast algorithm to solve a speckle reduction model, since the data fitting term in a speckle reduction model is usually not convex.
"Special interests" – or the more fitting term, advocacy groups – simplify democracy rather than subvert it.
The energy functional of the proposed model consists of three terms, i.e., the patch-statistical region fitting term, the improved regularization term, and the intensity variation penalization term.
The cost function consists of a part accounting for the reconstruction error, that is the PCA-instrumented shape fitting term for the found landmarks, while the other part accounts for the distance from the inferred landmarks to their closest candidates.
