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data compression; $\Sigma\Pi$-approximation; B-splines; colour image processing; continuous and discrete splines; red-green-blue colour images; data compression

References:

[1] V. A. Vasilenko: **The best finite dimensional $\Sigma \Pi$-approximation**. Sov. J. Num. Anal. Math. Mod. 5 (1990), no. 4/5, 435-443. MR 1122378

[2] W. A. Light E. W. Cheney: **Approximation theory in tensor product spaces**. Lectures Notes in Math., Springer Verlag, 1985. MR 0817984

[3] C. DeBoor: **A practical guide to splines**. Appl. Math. Sci. 27 (1978).