Towards stabilizing parametric active contours

TY - GEN

T1 - Towards stabilizing parametric active contours

AU - Liu, Jinchao

AU - Fan, Zhun

AU - Olsen, Søren Ingvor

AU - Christensen, Kim

AU - Kristensen, Jens

PY - 2014/10/7

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.

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-Cyber 2014

Y2 - 4 June 2014 through 7 June 2014

ER -