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Three-directional box-splines: Characterization and efficient evaluation
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DOI：10.1109/LSP.2006.871852.png)
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摘要
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We propose a new characterization of three-directional box-splines, which are well adapted for interpolation and approximation on hexagonal lattices. Inspired by a construction already applied with success for exponential splines [1] and hex-splines [2], we characterize a box-spline as a convolution of a generating function, which is a Green function of the spline's associated differential operator, and a discrete filter that plays the role of a localization operator. This process leads to an elegant analytical expression of three-directional box-splines. It also brings along a particularly efficient implementation.
Keyword:
approximation
box-splines
hexagonal sampling
interpolation
three-directional mesh
期刊
IF:
9.6
论文数:
1.1W
被引数:
1.7W
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