In this paper we show that for a regular triangulation it is possible to construct composite triangular C^1 functions with local tension properties which are non-negative and compactly supported. Moreover, they form a partition of unity and reproduce first degree polynomials.
Costantini, P., Pelosi, F., Sampoli, M.L. (2010). Compactly supported splines with tension properties on a three-direction mesh. In Mathematical Methods for Curves and Surfaces, MMCS 2008 (pp.93-110). BERLIN, HEIDELBERG : Springer-Verlag [10.1007/978-3-642-11620-9_8].
Compactly supported splines with tension properties on a three-direction mesh
COSTANTINI, PAOLO;PELOSI F;SAMPOLI, MARIA LUCIA
2010-01-01
Abstract
In this paper we show that for a regular triangulation it is possible to construct composite triangular C^1 functions with local tension properties which are non-negative and compactly supported. Moreover, they form a partition of unity and reproduce first degree polynomials.
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https://hdl.handle.net/11365/19093
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