A New Implicit Method for Surface Segmentation by Minimal Paths in 3D Images
|dc.contributor.author||Cohen, Laurent D.
HAL ID: 738939
|dc.subject||Level set method||en|
|dc.subject||Stationary transport equation.||en|
|dc.title||A New Implicit Method for Surface Segmentation by Minimal Paths in 3D Images||en|
|dc.type||Article accepté pour publication ou publié|
|dc.contributor.editoruniversityother||MedisysResearch Lab (Medisys) Philips Healthcare;France|
|dc.contributor.editoruniversityother||Georgia Institute of Technology (GATECH) http://www.gatech.edu/ Georgia Institute of Technology;États-Unis|
|dc.description.abstracten||We introduce a novel implicit approach for single-object segmentation in 3D images. The boundary surface of this object is assumed to contain two known curves (the constraining curves), given by an expert. The aim of our method is to find the wanted surface by exploiting as much as possible the information given in the supplied curves and in the image. As for active surfaces, we use a cost potential that penalizes image regions of low interest (most likely areas of low gradient or too far from the surface to be extracted). In order to avoid local minima, we introduce a new partial differential equation and use its solution for segmentation. We show that the zero level set of this solution contains the constraining curves as well as a set of paths joining them. We present a fast implementation that has been successfully applied to 3D medical and synthetic images.||en|
|dc.relation.isversionofjnlname||Applied Mathematics and Optimization|
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