Department of Mathematics

Indian Institute Of Technology Madras , Chennai
  • Mathematics Department Shifted to NAC Office of the Department of Mathematics is moved from HSB to New Academic Complex (NAC) 5th and 6th Floor

Fractional Cone and Hex Splines

Speaker : Prof. Peter Massopust, Centre of Mathematics, Technical University Munich, Germany

31-08-2017

Abstract :

We introduce an extension of cone splines and box splines to fractional and complex orders. These new families of multivariate splines are defined in the Fourier domain along certain s-directional meshes and include as special cases the three-directional box splines and hex splines considered earlier in the literature. These cone and hex splines of fractional and complex order also generalize the univariate fractional and complex B-splines. Explicit time domain representations are derived for these splines on 3-directional meshes and some properties of these two multivariate spline families such as recurrence, decay and refinement presented. It is also shown that a bivariate hex spline and its integer lattice translates form a Riesz basis of its linear span.

Key Speaker Prof. Peter Massopust, Centre of Mathematics, Technical University Munich, Germany
Place NAC 522
Start Time 3:00 PM
Finish Time 4:00 PM
External Link None