, Volume 38, Issue 2, pp 67-84

Numerical minimization¶of the Mumford–Shah functional

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We consider a discrete approximation of the Mumford–Shah functional defined on finite element spaces. For a relevant model case we study global and local minima; from their behavior, we are led to propose two minimization methods, based on the quasi-Newton algorithm, which can find the absolute minimum of the functional.

Received: January 2000 / Accepted: October 2000