Chebychev Approximations of Finite Point Sets with Application to Planar Kinematic Synthesis

[+] Author and Article Information
Y. L. Sarkisyan

Division of Mechanisms and Machines, Yerevan Polytechnic Institute, Yerevan, Armenian S.S.R., U.S.S.R.

K. C. Gupta

Department of Materials Engineering, University of Illinois at Chicago Circle, Chicago, Ill.

B. Roth

Department of Mechanical Engineering, Stanford University, Stanford, Calif.

J. Mech. Des 101(1), 32-40 (Jan 01, 1979) (9 pages) doi:10.1115/1.3454021 History: Received June 14, 1978; Online October 21, 2010


In the first part of this paper we consider the problem of determining circles which best approximate a given set of points. The approximation is one which minimizes the maximum radial deviation of the points from the approximating circle. Then a similar procedure is developed for determining straight lines which best approximate a given point set. The final parts of the paper illustrate the application of these results to synthesizing planar linkages.

Copyright © 1979 by ASME
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