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Three-Dimensional Medical Image Segmentation Using a Graph-Theoretic Energy-Minimisation Approach

By Brian Parker

Abstract

A new graph algorithm for multiscale segmentation of threedimensional medical data sets is presented. It is a threedimensional generalisation of an existing two-dimensional Mumford-Shah region-merging segmentation algorithm. The Mumford-Shah functional formulation leads to improved segmentation results compared to alternative approaches; the graph theoretic approach yields improved performance and simplified data structures; and the automated stopping estimation allows a fully non-supervised algorithm with no tuning parameters required (except for an optional parameter to select the depth of segmentation)

Year: 2007
OAI identifier: oai:CiteSeerX.psu:10.1.1.18.9211
Provided by: CiteSeerX
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