Efficient Reconstruction of Hexagonally Sampled Data Using Three-Directional Box-Splines

Three-directional box-splines are particularly well-suited to interpolate and approximate hexagonally sampled data. In this paper, we propose a computationally efficient end-to-end reconstruction process. First, we introduce a prefiltering step that is based on a quasi-interpolation scheme using low-complexity finite-impulse-response (FIR) filters. Second, we derive a closed analytical expression for three-directional box-splines of any order that leads to a fast evaluation of the spline surface. All operations act locally on the data, and thus are well adapted to applications dealing with large images. To demonstrate the feasibility of our method, we implemented the complete procedure and we present experimental results.


Published in:
Proceedings of the 2006 IEEE International Conference on Image Processing (ICIP'06), Atlanta GA, USA, 697–700
Year:
2006
Publisher:
IEEE
Laboratories:




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

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