Towards stabilizing parametric active contours

Jinchao Liu; Zhun Fan; Søren Ingvor Olsen; Kim Christensen; Jens Kristensen

doi:10.1109/CYBER.2014.6917460

Towards stabilizing parametric active contours

Jinchao Liu, Zhun Fan, Søren Ingvor Olsen, Kim Christensen, Jens Kristensen

Department of Computer Science

1 Citation (Scopus)

Abstract

Numerical instability often occurs in evolving of parametric active contours. This is mainly due to the undesired change of parametrization during evolution. In this paper, we propose a new tangential diffusion term to compensate this undesired change. As a result, the parametrization will converge to a parametrization that is proportional to the natural parametrization which implies that the control points of the contour are uniformly distributed. We theoretically prove that this tangential diffusion term is bounded and therefore numerically stable. Several experiments were conducted and verified the feasibility of the proposed tangential diffusion force.

Original language	English
Title of host publication	2014 IEEE 4th Annual International Conference on Cyber Technology in Automation, Control, and Intelligent Systems (CYBER)
Number of pages	6
Publisher	IEEE
Publication date	7 Oct 2014
Pages	198-203
ISBN (Print)	978-1-4799-3668-7
DOIs	https://doi.org/10.1109/CYBER.2014.6917460
Publication status	Published - 7 Oct 2014
Event	IEEE-Cyber 2014 - Hong Kong Convention and Exhibition Centre, Hong Kong, China Duration: 4 Jun 2014 → 7 Jun 2014

Conference

Conference	IEEE-Cyber 2014
Location	Hong Kong Convention and Exhibition Centre
Country/Territory	China
City	Hong Kong
Period	04/06/2014 → 07/06/2014

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10.1109/CYBER.2014.6917460

Towards Stabilizing Parametric Active ContoursFinal published version, 447 KB

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title = "Towards stabilizing parametric active contours",

abstract = "Numerical instability often occurs in evolving of parametric active contours. This is mainly due to the undesired change of parametrization during evolution. In this paper, we propose a new tangential diffusion term to compensate this undesired change. As a result, the parametrization will converge to a parametrization that is proportional to the natural parametrization which implies that the control points of the contour are uniformly distributed. We theoretically prove that this tangential diffusion term is bounded and therefore numerically stable. Several experiments were conducted and verified the feasibility of the proposed tangential diffusion force.",

author = "Jinchao Liu and Zhun Fan and Olsen, {S{\o}ren Ingvor} and Kim Christensen and Jens Kristensen",

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T1 - Towards stabilizing parametric active contours

AU - Liu, Jinchao

AU - Fan, Zhun

AU - Olsen, Søren Ingvor

AU - Christensen, Kim

AU - Kristensen, Jens

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Y1 - 2014/10/7

N2 - Numerical instability often occurs in evolving of parametric active contours. This is mainly due to the undesired change of parametrization during evolution. In this paper, we propose a new tangential diffusion term to compensate this undesired change. As a result, the parametrization will converge to a parametrization that is proportional to the natural parametrization which implies that the control points of the contour are uniformly distributed. We theoretically prove that this tangential diffusion term is bounded and therefore numerically stable. Several experiments were conducted and verified the feasibility of the proposed tangential diffusion force.

AB - Numerical instability often occurs in evolving of parametric active contours. This is mainly due to the undesired change of parametrization during evolution. In this paper, we propose a new tangential diffusion term to compensate this undesired change. As a result, the parametrization will converge to a parametrization that is proportional to the natural parametrization which implies that the control points of the contour are uniformly distributed. We theoretically prove that this tangential diffusion term is bounded and therefore numerically stable. Several experiments were conducted and verified the feasibility of the proposed tangential diffusion force.

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DO - 10.1109/CYBER.2014.6917460

M3 - Article in proceedings

SN - 978-1-4799-3668-7

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BT - 2014 IEEE 4th Annual International Conference on Cyber Technology in Automation, Control, and Intelligent Systems (CYBER)

PB - IEEE

T2 - IEEE-Cyber 2014

Y2 - 4 June 2014 through 7 June 2014

ER -

Towards stabilizing parametric active contours

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