Image segmentation using Euler's Elastica as the regularization

Wei Zhu; Xue Cheng Tai; Tony Chan

doi:10.1007/s10915-013-9710-3

Image segmentation using Euler's Elastica as the regularization

Wei Zhu^*, Xue Cheng Tai, Tony Chan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

69 Scopus citations

Abstract

The active contour segmentation model of Chan and Vese has been widely used and generalized in different contexts in the literature. One possible modification is to employ Euler's elastica as the regularization of active contour. In this paper, we study the new effects of this modification and validate them numerically using the augmented Lagrangian method.

Original language	English (US)
Pages (from-to)	414-438
Number of pages	25
Journal	Journal of Scientific Computing
Volume	57
Issue number	2
DOIs	https://doi.org/10.1007/s10915-013-9710-3
State	Published - Nov 2013
Externally published	Yes

Keywords

Augmented Lagrangian method
Euler's elastica
Image segmentation

ASJC Scopus subject areas

Software
General Engineering
Computational Mathematics
Theoretical Computer Science
Applied Mathematics
Numerical Analysis
Computational Theory and Mathematics

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10.1007/s10915-013-9710-3

Cite this

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title = "Image segmentation using Euler's Elastica as the regularization",

abstract = "The active contour segmentation model of Chan and Vese has been widely used and generalized in different contexts in the literature. One possible modification is to employ Euler's elastica as the regularization of active contour. In this paper, we study the new effects of this modification and validate them numerically using the augmented Lagrangian method.",

keywords = "Augmented Lagrangian method, Euler's elastica, Image segmentation",

author = "Wei Zhu and Tai, {Xue Cheng} and Tony Chan",

note = "Funding Information: This work has been supported by NSF contract DMS-1016504.",

year = "2013",

month = nov,

doi = "10.1007/s10915-013-9710-3",

language = "English (US)",

volume = "57",

pages = "414--438",

journal = "Journal of Scientific Computing",

issn = "0885-7474",

publisher = "Springer New York",

number = "2",

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TY - JOUR

T1 - Image segmentation using Euler's Elastica as the regularization

AU - Zhu, Wei

AU - Tai, Xue Cheng

AU - Chan, Tony

N1 - Funding Information: This work has been supported by NSF contract DMS-1016504.

PY - 2013/11

Y1 - 2013/11

N2 - The active contour segmentation model of Chan and Vese has been widely used and generalized in different contexts in the literature. One possible modification is to employ Euler's elastica as the regularization of active contour. In this paper, we study the new effects of this modification and validate them numerically using the augmented Lagrangian method.

AB - The active contour segmentation model of Chan and Vese has been widely used and generalized in different contexts in the literature. One possible modification is to employ Euler's elastica as the regularization of active contour. In this paper, we study the new effects of this modification and validate them numerically using the augmented Lagrangian method.

KW - Augmented Lagrangian method

KW - Euler's elastica

KW - Image segmentation

UR - http://www.scopus.com/inward/record.url?scp=84885483529&partnerID=8YFLogxK

U2 - 10.1007/s10915-013-9710-3

DO - 10.1007/s10915-013-9710-3

M3 - Article

AN - SCOPUS:84885483529

SN - 0885-7474

VL - 57

SP - 414

EP - 438

JO - Journal of Scientific Computing

JF - Journal of Scientific Computing

IS - 2

ER -

Image segmentation using Euler's Elastica as the regularization

Abstract

Keywords

ASJC Scopus subject areas

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