Recursive Filtering for Splines on Hexagonal Lattices

Hex-splines are a novel family of bivariate splines, which are well suited to handle hexagonally sampled data. Similar to classical 1D B-splines, the spline coefficients need to be computed by a prefilter. Unfortunately, the elegant implementation of this prefilter by causal and anti-causal recursive filtering is not applicable for the (non-separable) hex-splines. Therefore, in this paper we introduce a novel approach from the viewpoint of approximation theory. We propose three different recursive filters and optimize their parameters such that a desired order of approximation is obtained. The results for third and fourth order hex-splines are discussed. Although the proposed solutions provide only quasi-interpolation, they tend to be very close to the interpolation prefilter.


Published in:
Proceedings of the Twenty-Eighth IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'03), Hong Kong SAR, People's Republic of China, 301–304
Year:
2003
Publisher:
IEEE
Laboratories:




 Record created 2015-09-18, last modified 2018-03-17

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