Y. K. Kuan, P. F. Fischer, F. Loth, "Surface Reconstruction of In Vivo Geometry Base on Medical Images using Multilevel Radial Basis Functions," Preprint ANL/MCS-P1210-0904, September 2004. [pdf]
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.