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A geometric approach to maximum-speed n-dimensional continuous linear interpolation in rectangular grids

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3 Author(s)
Rovatti, R. ; Dipt. di Elettronica Inf. e Sistemistica, Bologna Univ., Italy ; Borgatti, M. ; Guerrieri, R.

An algorithm for the linear interpolation of multi-input functions sampled on rectangular grids is presented. A geometric approach is adopted and the mathematics is thoroughly developed. We show that the algorithm is optimum. In fact, when the number n of inputs grows to infinity its computational requirement is O(n log n), which is the same as the lower-bound on the cost of continuous linear interpolation procedures

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Computers, IEEE Transactions on  (Volume:47 ,  Issue: 8 )