We consider a discrete approximation of the Mumford-Shah functional defined on finite element spaces. For some meaningful model case we study global and local minima, then, from their behavior, we can propose two minimization methods, based on the quasi-Newton algorithm, which can find the absolute minimum of the functional.
Paolini, M., Negri, M., Numerical minimization of the Mumford-Shah functional, <<CALCOLO>>, 2001; (38): 67-84. [doi:10.1007/s100920170004] [http://hdl.handle.net/10807/19999]
Numerical minimization of the Mumford-Shah functional
Paolini, Maurizio;
2001
Abstract
We consider a discrete approximation of the Mumford-Shah functional defined on finite element spaces. For some meaningful model case we study global and local minima, then, from their behavior, we can propose two minimization methods, based on the quasi-Newton algorithm, which can find the absolute minimum of the functional.
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