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Title: A New Implicit Method for Surface Segmentation by Minimal Paths in 3D Images

Abstract

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.

Authors:
 [1];  [2];  [3]
  1. MEDISYS-Philips France, 51 rue Carnot, 92156 (France), E-mail: roberto.ardon@philips.com
  2. CEREMADE-Universite Paris Dauphine, Place du Marechal de Lattre de Tassigny, 75775 (France), E-mail: cohen@ceremade.dauphine.fr
  3. Georgia Institute of Technology (United States), E-mail: ayezzi@ece.gatech.edu
Publication Date:
OSTI Identifier:
21067412
Resource Type:
Journal Article
Resource Relation:
Journal Name: Applied Mathematics and Optimization; Journal Volume: 55; Journal Issue: 2; Other Information: DOI: 10.1007/s00245-006-0885-y; Copyright (c) 2007 Springer; www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GRAPH THEORY; IMAGES; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; SURFACES; THREE-DIMENSIONAL CALCULATIONS

Citation Formats

Ardon, Roberto, Cohen, Laurent D., and Yezzi, Anthony. A New Implicit Method for Surface Segmentation by Minimal Paths in 3D Images. United States: N. p., 2007. Web. doi:10.1007/S00245-006-0885-Y.
Ardon, Roberto, Cohen, Laurent D., & Yezzi, Anthony. A New Implicit Method for Surface Segmentation by Minimal Paths in 3D Images. United States. doi:10.1007/S00245-006-0885-Y.
Ardon, Roberto, Cohen, Laurent D., and Yezzi, Anthony. Thu . "A New Implicit Method for Surface Segmentation by Minimal Paths in 3D Images". United States. doi:10.1007/S00245-006-0885-Y.
@article{osti_21067412,
title = {A New Implicit Method for Surface Segmentation by Minimal Paths in 3D Images},
author = {Ardon, Roberto and Cohen, Laurent D. and Yezzi, Anthony},
abstractNote = {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.},
doi = {10.1007/S00245-006-0885-Y},
journal = {Applied Mathematics and Optimization},
number = 2,
volume = 55,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}