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March/April 2010 Convergence results for critical points of the one-dimensional Ambrosio-Tortorelli functional with fidelity term
Nam Q. Le
Adv. Differential Equations 15(3/4): 255-282 (March/April 2010).

Abstract

In this paper, we show that critical points of the one-dimensional Ambrosio-Tortorelli functional with fidelity term converge to those of the corresponding Mumford-Shah functional, a famous model for image segmentation. Equi-partition and convergence of the energy-density are also derived.

Citation

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Nam Q. Le. "Convergence results for critical points of the one-dimensional Ambrosio-Tortorelli functional with fidelity term." Adv. Differential Equations 15 (3/4) 255 - 282, March/April 2010.

Information

Published: March/April 2010
First available in Project Euclid: 18 December 2012

zbMATH: 1190.49048
MathSciNet: MR2588770

Subjects:
Primary: 35B38, 35J60, 49J45, 49Q20

Rights: Copyright © 2010 Khayyam Publishing, Inc.

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Vol.15 • No. 3/4 • March/April 2010
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