Pure Mathematics
E-print 16, 2007
Author(s):
Chr. Dyken, M. Floater
Title:
Transfinite mean value interpolation
Abstract:
Transfinite mean value interpolation has recently emerged as a
simple and robust way to interpolate a function f defined on the
boundary of a planar domain. In this paper we study basic
properties of the interpolant, including sufficient
conditions on the boundary of the domain to guarantee interpolation
when f is continuous. Then, by deriving the normal derivative of
the interpolant and of a mean value weight function, we construct
a transfinite Hermite interpolant, and discuss various applications.
A pdf version of the entire e-print.