Abstract:

The present paper presents a new method for fitting given scattered data set. The new method does require neither the solution of linear sys
tems of equations nor additional interior and exterior points, only requires normal vectors. Given 3D scattered data and associated normal vectors, the new method produces an implicit volume model whose zero level isosurface interpolates the given points and associated normal vectors.

Key words: scattered data, radial basis functions, implicit fitting, compactly supported