A class of spline functions for landmark-based image registration

被引：31
|
作者：
Allasia, G. [1 ]
Cavoretto, R. [1 ]
De Rossi, A. [1 ]
机构：
[1] Univ Turin, Dept Math G Peano, I-10123 Turin, Italy
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 08期
关键词：
interpolation; image processing; landmark-based transformations; Lobachevsky splines; elastic registration; radial basis functions; RADIAL BASIS FUNCTIONS;
D O I：
10.1002/mma.1610
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of spline functions, called Lobachevsky splines, is proposed for landmark-based image registration. Analytic expressions of Lobachevsky splines and some of their properties are given, reasoning in the context of probability theory. Because these functions have simple analytic expressions and compact support, landmark-based transformations can be advantageously defined using them. Numerical results point out accuracy and stability of Lobachevsky splines, comparing them with Gaussians and thin plate splines. Moreover, an application to a real-life case (cervical X-ray images) shows the effectiveness of the proposed method. Copyright (C) 2012 John Wiley & Sons, Ltd.
引用
收藏
页码：923 / 934
页数：12
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