Efficient plotting the functions with discontinuities based on combined sampling release_rlx2ldc63vckfadhypnuxlxd7y

Abstract

This article presents  new algorithm for interval plotting of<br />the function $y=f(x)$ based on the combined sampling. The proposed<br />method synthesizes uniform and adaptive sampling approaches and provides<br />a more compact and efficient function representation. During the combined<br />sampling, the polygonal approximation with a given threshold $\overline{\alpha}$<br />between adjacent segments is constructed. The automated detection<br />and treatment of discontinuities based on $LR$ criterion are involved.<br />Two implementations, the recursive-based and stack-based, are introduced.<br />Finally, several tests of the proposed algorithms for different functions<br />involving discontinuities and several map projection graticules are<br />presented. The proposed method may be applied in geoinformatic for<br />more efficient sampling the curves (map projection graticules, contour<br />lines, or buffers).
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