We use polyharmonic Radial Basis Functions (RBFs) to reconstruct smooth, manifold surfaces from point-cloud data and to repair incomplete meshes. An object's surface is defined implicitly as the zeroâ€¦ (More)

A generalised multiquadric radial basis function is a function of the form s(x) = âˆ‘N i=1 diÏ†(|x âˆ’ ti|), where Ï†(r) = ( r2 + Ï„2 )k/2 , x âˆˆ Rn, and k âˆˆ Z is odd. The direct evaluation of an N centreâ€¦ (More)

As is now well known for some basic functions Ï†, hierarchical and fast multipole-like methods can greatly reduce the storage and operation counts for fitting and evaluating radial basis functions. Inâ€¦ (More)