Interpolator

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The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Interpolator

 

an analog or digital computing device for the determination of the coordinates of a point moving continuously along an analytically given curve.

Interpolators are used as control devices in programmed control systems; the output signals of the interpolator act directly or with the help of intermediate carriers (perforated or magnetic tapes) on the drive mechanism of the working tool of the controlled object (for example, a metal-cutting lathe), with the result that the working tool moves in space or in a plane along the required curve. The method for giving the parameters of the curve depends on the type of interpolator and the method used to solve the equation of the curve.

The simplest interpolators are continuous-action (analog) interpolators for determining straight-line segments potentiometers, certain types of compensators). A potentiometer in the circuit of a linear interpolator controls the motion of the working tool along one coordinate axis. The voltage supplied to the potentiometer is proportional to the length of the segment to be worked, whereas the voltage taken off by the slide of the potentiometer is proportional to the coordinate of the moving point, that is, to the required displacement of the working tool.

A discrete-action (digital) interpolator is a computing device whose initial data are coded (binary, decimal) numbers and whose output signal is a series of uniform discrete electrical pulses or simple phase shifts, each of which causes an elementary movement of the working tool of the device being controlled. The basic elements of discrete interpolators are digital integrators, various combinations of which form interpolators that work out straight lines, circles, hyperbolas, parabolas, and other figures.

REFERENCES

Chernyshev, A. V., and A. B. Iakhin. Avtomatizatsiia obrabotki na metal-lorezhushchikh stankakh s primeneniem programmnogo upravleniia. Moscow, 1959.
Tsifrovye analogi dlia sistem avtomaticheskogo upravleniia. Moscow-Leningrad, 1960.
The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
Hence, the initial predictor switches between a non-directional static weighting interpolator for a smooth area, a one-directional interpolator for an edge area.
Yeh and Hsu [10] proposed a speed-controlled interpolator by incorporating a compensatory parameter to minimize the feed rate fluctuation.
If data interpolation must be used, the most used interpolators are inverse distance (ID), inverse square distance (ISD) or kriging (KRI).
Error bounds for floating-point polynomial interpolators. IEE Electronics Letters, 35(3): 195-197.
Other methods, using the B-spline interpolators [4, 5] or the cubic convolution methods [6] have also been proposed.
Yla-Oijala, "Multilevel fast multipole algorithm with global and local interpolators," IEEE Trans.
On the synthesis of very sharp decimators and interpolators using the frequency-response masking technique.
For using Kriging family of interpolators, variograms are constructed and different classical models like spherical, exponential and Gaussian are fit on the data.
Madych, "Miscellaneous error bounds for multiquadric and related interpolators," Computers & Mathematics with Applications, vol.
Although their proposed method improves the performance of linear interpolators, the performance degrades in cases such as very thin (one pixel thick) objects and edges which are not along vertical and horizontal directions.
Evaluation and comparison of spatial interpolators, Mathematical Geology 24: 381-391.
To obtain the required information on a dense grid, several interpolators should be employed.