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Three-directional box-splines are particularly well-suited to interpolate and approximate hexagonally sampled data. In this paper, we propose a computationally efficient end-toend reconstruction process. First, we introduce a prefiltering step that is based on a quasi-interpolation scheme using lowcomplexity 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.doi:10.1109/icip.2006.312430 dblp:conf/icip/CondatVU06 fatcat:kfvk6wzyrjgghd7mhegdfkmyy4