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 50 条

[1] A class of spline functions for landmark-based image registration
Allasia, G.
Cavoretto, R.
De Rossi, A.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (08) : 923 - 934
[2] Radial basis functions with compact support for elastic registration of medical images
Fornefett, M
Rohr, K
Stiehl, HS
IMAGE AND VISION COMPUTING, 2001, 19 (1-2) : 87 - 96
[3] Landmark-based elastic registration using approximating thin-plate splines
Rohr, K
Stiehl, HS
Sprengel, R
Buzug, TM
Weese, J
Kuhn, MH
IEEE TRANSACTIONS ON MEDICAL IMAGING, 2001, 20 (06) : 526 - 534
[4] Landmark-based registration and measurement of magnetic resonance images: A reliability study
Arndt, S
Rajarethinam, R
Cizadlo, T
OLeary, D
Downhill, J
Andreasen, NC
PSYCHIATRY RESEARCH-NEUROIMAGING, 1996, 67 (02) : 145 - 154
[5] Radial basis functions with compact support for elastic registration.: Application to medical images
Ortega, M
Juan, MC
Alcañiz, M
Barcia, JA
Gallego, M
Guijarro, E
Hernandez, ME
CARS 2005: Computer Assisted Radiology and Surgery, 2005, 1281 : 1284 - 1284
[6] AN EXTENSION OF THIN-PLATE SPLINES FOR IMAGE REGISTRATION WITH RADIAL BASIS FUNCTIONS
Rohr, Karl
Woerz, Stefan
2012 9TH IEEE INTERNATIONAL SYMPOSIUM ON BIOMEDICAL IMAGING (ISBI), 2012, : 442 - 445
[7] Analytic regularization for landmark-based image registration
Shusharina, Nadezhda
Sharp, Gregory
PHYSICS IN MEDICINE AND BIOLOGY, 2012, 57 (06): : 1477 - 1498
[8] Landmark-Based Image Registration using Gneiting's Compactly Supported Functions
Cavoretto, Roberto
De Rossi, Alessandra
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 1335 - 1338
[9] ON INTEREST POINT DETECTION UNDER A LANDMARK-BASED MEDICAL IMAGE REGISTRATION CONTEXT
Martins, P.
Carvalho, P.
2009 16TH IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOLS 1-6, 2009, : 2529 - 2532
[10] Coupling dense and landmark-based approaches for nonrigid registration
Hellier, P
Barillot, C
IEEE TRANSACTIONS ON MEDICAL IMAGING, 2003, 22 (02) : 217 - 227

← 1 2 3 4 5 →