Radial basis functions with compact support for elastic registration. Application to medical images

2005 ◽  
Vol 1281 ◽  
pp. 1284
Author(s):  
M. Ortega ◽  
M.C. Juan ◽  
M. Alcañiz ◽  
J.A. Barcia ◽  
M. Gallego ◽  
...  
Keyword(s):  
Radial Basis Functions ◽  
Compact Support ◽  
Medical Images ◽  
Basis Functions ◽  
Elastic Registration ◽  
Radial Basis

Radial basis functions with compact support for multivariate geostatistics

2012 ◽  
Vol 27 (4) ◽  
pp. 909-922 ◽  
Author(s):  
Emilio Porcu ◽  
Daryl J. Daley ◽  
Martin Buhmann ◽  
Moreno Bevilacqua
Keyword(s):  
Radial Basis Functions ◽  
Compact Support ◽  
Basis Functions ◽  
Multivariate Geostatistics ◽  
Radial Basis

Surface Reconstruction of In Vivo Geometry Based on Medical Images Using Multilevel Radial Basis Functions

2004 ◽  
Author(s):  
Yoke Kong Kuan ◽  
Paul F. Fischer ◽  
Francis Loth
Keyword(s):  
Radial Basis Functions ◽  
Surface Reconstruction ◽  
Medical Images ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Basis Functions ◽  
Radial Basis ◽  
Point Set ◽  
Three Dimensional Space

Compactly supported radial basis functions (RBFs) were used for surface reconstruction of in vivo geometry, translated from two dimensional (2D) medical images. RBFs provide a flexible approach to interpolation and approximation for problems featuring unstructured data in three-dimensional space. Point-set data are obtained from the contour of segmented 2-D slices. Multilevel RBFs allow smoothing and fill in missing data of the original geometry while maintaining the overall structure shape.

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