Radial Basis Functions and Splines for Landmark-Based Registration of Medical Images

被引：12

作者：

Allasia, Giampietro ^{[1
]}

Cavoretto, Roberto ^{[1
]}

De Rossi, Alessandra ^{[1
]}

Quatember, Bernhard ^{[2
]}

Recheis, Wolfgang ^{[2
]}

Mayr, Martin ^{[2
]}

Demertzis, Stefanos ^{[3
]}

机构：

[1] Univ Turin, Dept Math G Peano, Via Carlo Alberto 10, I-10123 Turin, Italy

[2] Innsbruck Med Univ, Radiol, A-6020 Innsbruck, Austria

[3] Cardiocentro Ticino, CH-6900 Lugano, Switzerland

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III | 2010年 / 1281卷

关键词：

landmark-based transformations; spline functions; scattered data interpolation; elastic registration;

D O I：

10.1063/1.3498579

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We propose the use of a class of spline functions, called Lobachevsky splines, for landmark-based registration. We recall the analytic expressions of the Lobachevsky splines and some of their properties, reasoning in the context of probability theory. These functions have simple analytic expressions and compact support. Numerical tests appear to be promising.

引用

页码：716 / +

页数：2

共 12 条

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Kohlrausch, J
Rohr, K
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[J]. JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2005, 23 (03) : 253 - 280
[8] Modersitzki J., 2003, NUMER MATH SCI COMP, DOI 10.1093/acprof:oso/9780198528418.001.0001
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