Applying multiquadric quasi-interpolation for boundary detection

被引：8
|
作者：
Gao, Qinjiao [1 ]
Wu, Zongmin [1 ]
Zhang, Shenggang [2 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China
[2] Dalian Med Univ, Dept Hlth Stat, Dalian 116044, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 12期
关键词：
Boundary detection; Multiquadric quasi-interpolation; Geodesic active contour; Radial basis function; Curve evolution; Partial differential equation; SCATTERED DATA; ACTIVE CONTOURS; APPROXIMATION; SEGMENTATION; SCHEME;
D O I：
10.1016/j.camwa.2011.09.069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a novel scheme for simulating geometric active contours (geometric flow) of one kind, applying multiquadric (MQ) quasi-interpolation. We first represent the geometric flow in its parametric form. Then we obtain the numerical scheme by using the derivatives of the quasi-interpolation to approximate the spatial derivative of each dependent variable and a forward difference to approximate the temporal derivative of each dependent variable. The resulting scheme is simple, efficient and easy to implement. Also images with complex boundaries can be more easily proposed on the basis of the good properties of the MQ quasi-interpolation. Several biomedical and astronomical examples of applications are shown in the paper. Comparisons with other methods are included to illustrate the validity of the method. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：4356 / 4361
页数：6
相关论文
共 50 条
12345