A Family of Bivariate Hex-Splines for Hexagonal Lattices
Digital images are sampled on a regular lattice. The conversion of this representation from one lattice to another is called image re-sampling (Ville, D.V.D. et al, 2002). More recently, hex-splines were proposed to model data sampled on any 2-D regular lattices (Ville, D.V.D. et al, 2004). Hex-splines belong to the family of bivariate and non separable splines and are designed specifically for hexagonal lattices. These are designed using indicator function of the voronoi cell that defines the first order hex-spline. At first, the sinc interpolation function for hexagonal lattice is designed and the higher order hex-splines can be obtained using sinc interpolation function. This paper deals with the construction of a family of bivariate hex-splines. Also, hex-spline kernels in frequency domain were constructed.
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