mirage

A variant of the level set method and applications to image segmentation

DSpace/Manakin Repository

 

Search DR-NTU


Advanced Search Subject Search

Browse

My Account

A variant of the level set method and applications to image segmentation

Show full item record

Title: A variant of the level set method and applications to image segmentation
Author: Lie, Johan; Lysaker, Marius; Tai, Xue Cheng
Copyright year: 2006
Abstract: In this paper we propose a variant of the level set formulation for identifying curves separating regions into different phases. In classical level set approaches, the sign of level set functions are utilized to identify up to 2n phases. The novelty in our approach is to introduce a piecewise constant level set function and use each constant value to represent a unique phase. If phases should be identified, the level set function must approach 2n predetermined constants. We just need one level set function to represent 2n unique phases, and this gains in storage capacity. Further, the reinitializing procedure requested in classical level set methods is superfluous using our approach. The minimization functional for our approach is locally convex and differentiable and thus avoids some of the problems with the nondifferentiability of the Delta and Heaviside functions. Numerical examples are given, and we also compare our method with related approaches.
Subject: DRNTU::Science::Mathematics::Analysis.
Type: Journal Article
Series/ Journal Title: Mathematics of Computation.
School: School of Physical and Mathematical Sciences
Related Organization: Norwegian Research Council
Rights: Mathematics of Computation @ copyright 2006 American Mathematical Society. The journal's website is located at http://www.ams.org/mcom/2006-75-255/S0025-5718-06-01835-7/home.html.
Version: Published version

Files in this item

Files Size Format View Description
S0025-5718-06-01835-7.pdf 6.710Mb PDF View/Open Accepted version
   

SFX Query

- Get published version (via NTU subscribed resources)
   

DOI Query

- Get published version (via Digital Object Identifier)
   

This item appears in the following Collection(s)

Show full item record

Statistics

Total views

All Items Views
A variant of the level set method and applications to image segmentation 663

Total downloads

All Bitstreams Views
S0025-5718-06-01835-7.pdf 295

Top country downloads

Country Code Views
United States of America 109
China 57
India 23
Singapore 18
Germany 12

Top city downloads

city Views
Mountain View 85
Beijing 28
Singapore 18
Shanghai 6
New Delhi 5

Downloads / month

  2014-07 2014-08 2014-09 total
S0025-5718-06-01835-7.pdf 0 0 3 3