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Data compression with $$\Sigma\Pi$$-approximations based on splines. (English) Zbl 0792.65003
The authors describe a new $$\Sigma \Pi$$-algorithm for the approximation of the function with two independent variables by the sum of products of one-dimensional functions. This algorithm based on continuous and discrete splines is used to compress the functions attached to red-green- blue colour images. Estimations of the compression coefficient are given.
Using the discrete splines for data compression the authors process images after scanning. Expert evaluation for some colour $$320\times 200$$ images are given.
Reviewer: M.Gaşpar (Iaşi)
##### MSC:
 65D07 Numerical computation using splines 68U10 Computing methodologies for image processing
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##### References:
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