Numerical approximations of the Mumford-Shah functional for unit vector fields

被引：1

作者：

Haehnle, Jonas ^{[1
]}

机构：

[1] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany

来源：

INTERFACES AND FREE BOUNDARIES | 2011年 / 13卷 / 03期

关键词：

FINITE-ELEMENT APPROXIMATION; STATIONARY HARMONIC MAPS; NEMATIC LIQUID-CRYSTALS; IMAGE SEGMENTATION; REGULARITY; DISCRETIZATION; ENHANCEMENT; RELAXATION; EVOLUTION; FLOW;

D O I：

10.4171/IFB/259

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two numerical approximation schemes for minimising the Mumford-Shah functional for unit vector fields are proposed, analysed, and compared. The first uses a projection strategy, the second a penalisation strategy to enforce the sphere constraint. Both schemes are then applied to the segmentation of colour images using the Chromaticity and Brightness colour model.

引用

页码：297 / 326

页数：30

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