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Segmentation of Three-Dimensional Images with Parametric Active Surfaces and Topology Changes

Benninghoff, Heike and Garcke, Harald (2017) Segmentation of Three-Dimensional Images with Parametric Active Surfaces and Topology Changes. Journal of Scientific Computing. Springer. DOI: 10.1007/s10915-017-0401-3 ISSN 0885-7474

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Official URL: http://link.springer.com/article/10.1007%2Fs10915-017-0401-3

Abstract

In this paper, we introduce a novel parametric finite element method for segmentation of three-dimensional images. We consider a piecewise constant version of the Mumford–Shah and the Chan–Vese functionals and perform a region-based segmentation of 3D image data. An evolution law is derived from energy minimization problems which push the surfaces to the boundaries of 3D objects in the image. We propose a parametric scheme which describes the evolution of parametric surfaces. An efficient finite element scheme is proposed for a numerical approximation of the evolution equations. Since standard parametric methods cannot handle topology changes automatically, an efficient method is presented to detect, identify and perform changes in the topology of the surfaces. One main focus of this paper are the algorithmic details to handle topology changes like splitting and merging of surfaces and change of the genus of a surface. Different artificial images are studied to demonstrate the ability to detect the different types of topology changes. Finally, the parametric method is applied to segmentation of medical 3D images.

Item URL in elib:https://elib.dlr.de/111901/
Document Type:Article
Title:Segmentation of Three-Dimensional Images with Parametric Active Surfaces and Topology Changes
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Benninghoff, HeikedlrUNSPECIFIED
Garcke, Haralduniversität regensburg, fakultät für mathematikUNSPECIFIED
Date:3 March 2017
Journal or Publication Title:Journal of Scientific Computing
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
DOI :10.1007/s10915-017-0401-3
Publisher:Springer
ISSN:0885-7474
Status:Published
Keywords:Image segmentation, Finite element approximation, Parametric method, Three-dimensional images, Active surfaces, Topology changes
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Technik für Raumfahrtsysteme
DLR - Research theme (Project):R - Projekt OOS-E2E
Location: Oberpfaffenhofen
Institutes and Institutions:Space Operations and Astronaut Training > Space Flight Technology
Deposited By: Benninghoff, Heike
Deposited On:12 Apr 2017 13:10
Last Modified:06 Sep 2019 15:19

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