Numerical Analysis of a Deformable Model for Ultrasound Border Detection
This paper describes,mathematically,a twodimensional deformable contour model for boundary detection of the left ventricular ultrasound images.To analyze the consistency,convergence and stability of the deformable contour model,this paper presents formal numerical analysis to prove that the deformable model for border detection itself is an illconditioned problem in the sense of perturbed input data always making converged result away from its true solution.With the help of mathematical analysis,we also present a fast numerical algorithm with controllable material coefficients and external forces terms.Selections of these coefficients are consistent with our theoretical works.Our algorithm has been implemented and applied to compute the inner border of a set of ultrasound left ventricular images.Test results show that this controllable algorithm always converges to a good enough final border starting from a reasonable initial contour.
snakes energy minimization border detection deformable model
Xiaoyan Liao Dong C.Liu
School of Computer Science,Sichuan University,Chengdu,China
国际会议
7th Asian-Pacific Conference on Medical and Biological Engineering(第七届亚太地区生物工程学术会议)
北京
英文
2008-04-22(万方平台首次上网日期,不代表论文的发表时间)