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More on piecewise linear approximation

โœ Scribed by Ivan Tomek

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
256 KB
Volume
8
Category
Article
ISSN
0010-4809

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โœฆ Synopsis

A new algorithm for piecewise linear approximation of discrete functions is presented in the first part of the paper. Experience indicates that it is both faster and achieves better data reduction than one presented earlier. In the second part a measure of similarity of waveforms proposed in a recent paper is generalized. The extension makes possible its application to functions approximated by piecewise linear functions.

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We consider particular types of discrete approximations to tensor fields on manifolds suggested by triangulations. The approximations are objects of finite geometrical extent, parameterized by a finite set of numbers, so they are suitable for numerical computations. We study the limiting behaviour o