Control Systems and Computers, N2, 2018, Article 2


Upr. sist. maš., 2018, Issue 2 (274), pp. 12-18.

UDK 004.02

VLADIMIR KALMYKOV, PhD (Eng.), Senior research fellow,  E-mail:,

ANTON SHARYPANOV, Research fellow, E-mail:, Institute of Mathematical Machines and Systems Problems of the Ukraine National Academy of Science (IMMSP NASU), prosp. acad. Glushkova 42, 03680, Kiev 187, Ukraine

Segmentation of the Experimental Curves
as the Implementations of Unknown Piecewise
Smooth Functions

While processing (e.g. spline approximation) of experimental curves that supposed to be implementations of piecewise smooth functions distorted by noise, the task of determining the boundary points of the pieces arises. A suitable resolution for examining each curve is unknown. Construction of partial answers at a number of increasing resolutions is proposed. Each partial answer contains information about specific points found at a given resolution. The general answer is a subset of maximum cardinality of sequential and not conflicting partial answers. The results of experiments on segmentation of curves based on proposed method are discussed.

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Keywords: experimental curves, segmentation, coarse-to-fine.


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    Received 27.03.2018