Compactly supported splines with tension properties on a three-direction mesh

Authors:
Paolo Costantini;Francesca Pelosi;Maria Lucia Sampoli
Affiliations:
Dip. di Scienze Matematiche ed Informatiche, Università di Siena, Siena, Italy;Dipartimento di Matematica, Università di Roma “Tor Vergata”, Roma, Italy;Dip. di Scienze Matematiche ed Informatiche, Università di Siena, Siena, Italy
Venue:
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
Year:
2008

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Abstract

In this paper we show that for a regular triangulation it is possible to construct composite triangular C1 functions with local tension properties which are non-negative and compactly supported. Moreover, they form a partition of unity and reproduce first degree polynomials.