Recursive computation of Hermite spherical spline interpolants (Q2479350)

The paper deals with the study of a recursive method for the computation of a Hermite spline interpolant associated to a function defined on the unit sphere. The authors start by recalling some results regarding the homogeneous Bernstein-Bézier polynomials and spherical splines (Section 2). Next, they study the local method based on \(C^k\) macro elements of degree \(4k+1\) (Section 3). In Section 4 a recursive computation of local Hermite polynomials is presented and a decomposition of the spherical splines is deduced. Numerical examples are also presented.