Retinal vessel segmentation using a finite element based binary level set method

Zhenlin Guo; Ping Lin; Guangrong Ji; Yangfan Wang

doi:10.3934/ipi.2014.8.459

Article Contents

2014, Volume 8, Issue 2: 459-473. Doi: 10.3934/ipi.2014.8.459

This issue Previous Article Compressive optical deflectometric tomography: A constrained total-variation minimization approach Next Article A Rellich type theorem for discrete Schrödinger operators

Retinal vessel segmentation using a finite element based binary level set method

1.
Department of Mathematics and Mechanics, University of Science and Technology Beijing (USTB), Beijing, 100083
2.
Division of Mathematics, University of Dundee, Dundee, DD1 4HN
3.
College of Information Science and Engineering, Ocean University of China, Qingdao, 266071
4.
College of Marine Life Science, Ocean University of China, Qingdao, 266071

Received: July 2012

Revised: October 2013

Published: May 2014

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Abstract

In this paper we combine a few techniques to label blood vessels in the matched filter (MF) response image by using a finite element based binary level set method. An operator-splitting method is applied to numerically solve the Euler-Lagrange equation from minimizing an energy functional. Unlike the traditional MF methods, where a threshold is difficult to be selected, our method can automatically get more precise blood vessel segmentation using an enhanced edge information. In order to demonstrate the good performance, we compare our method with a few other methods when they are applied to a publicly available standard database of coloured images (with manual segmentations available too).

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Mathematics Subject Classification: Primary: 65M60, 65J22; Secondary: 94A08, 53C35.

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