Towards Stabilizing Parametric Active Contours

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

doi:10.1109/CYBER.2014.6917460

Towards Stabilizing Parametric Active Contours

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

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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)
Publisher	IEEE
Publication date	2014
Pages	198-203
ISBN (Print)	978-1-4799-3668-7
DOIs	https://doi.org/10.1109/CYBER.2014.6917460
Publication status	Published - 2014
Event	IEEE 4th Annual International Conference on Cyber Technology in Automation, Control, and Intelligent Systems - Hong Kong, China Duration: 4 Jun 2014 → 7 Jun 2014 Conference number: 4 http://www.ieee-cyber.org/2014/

Conference

Conference	IEEE 4th Annual International Conference on Cyber Technology in Automation, Control, and Intelligent Systems
Number	4
Country/Territory	China
City	Hong Kong
Period	04/06/2014 → 07/06/2014
Internet address	http://www.ieee-cyber.org/2014/

Keywords

Bioengineering
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Computing and Processing
General Topics for Engineers
Power, Energy and Industry Applications
Robotics and Control Systems
Active contours
Equations
Force
Image segmentation
Standards
Vectors
Welding

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10.1109/CYBER.2014.6917460

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@inproceedings{f77bbeb3d19a4ae08650c67b3dcdcae3,

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.",

keywords = "Bioengineering, Communication, Networking and Broadcast Technologies, Components, Circuits, Devices and Systems, Computing and Processing, General Topics for Engineers, Power, Energy and Industry Applications, Robotics and Control Systems, Active contours, Equations, Force, Image segmentation, Standards, Vectors, Welding",

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

year = "2014",

doi = "10.1109/CYBER.2014.6917460",

language = "English",

isbn = "978-1-4799-3668-7 ",

pages = "198--203",

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

publisher = "IEEE",

address = "United States",

note = "IEEE 4th Annual International Conference on Cyber Technology in Automation, Control, and Intelligent Systems, CYBER ; Conference date: 04-06-2014 Through 07-06-2014",

url = "http://www.ieee-cyber.org/2014/",

}

Liu, J, Fan, Z, Olsen, SI, Christensen, KH & Klæstrup Kristensen, J 2014, Towards Stabilizing Parametric Active Contours. in 2014 IEEE 4th Annual International Conference on Cyber Technology in Automation, Control, and Intelligent Systems (CYBER). IEEE, pp. 198-203, IEEE 4th Annual International Conference on Cyber Technology in Automation, Control, and Intelligent Systems, Hong Kong, China, 04/06/2014. https://doi.org/10.1109/CYBER.2014.6917460

TY - GEN

T1 - Towards Stabilizing Parametric Active Contours

AU - Liu, Jinchao

AU - Fan, Zhun

AU - Olsen, Søren Ingvor

AU - Christensen, Kim Hardam

AU - Klæstrup Kristensen, Jens

N1 - Conference code: 4

PY - 2014

Y1 - 2014

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.

KW - Bioengineering

KW - Communication, Networking and Broadcast Technologies

KW - Components, Circuits, Devices and Systems

KW - Computing and Processing

KW - General Topics for Engineers

KW - Power, Energy and Industry Applications

KW - Robotics and Control Systems

KW - Active contours

KW - Equations

KW - Force

KW - Image segmentation

KW - Standards

KW - Vectors

KW - Welding

U2 - 10.1109/CYBER.2014.6917460

DO - 10.1109/CYBER.2014.6917460

M3 - Article in proceedings

SN - 978-1-4799-3668-7

SP - 198

EP - 203

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

PB - IEEE

T2 - IEEE 4th Annual International Conference on Cyber Technology in Automation, Control, and Intelligent Systems

Y2 - 4 June 2014 through 7 June 2014

ER -

Towards Stabilizing Parametric Active Contours

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