Chebychev Approximations of Spatial Point Sets Using Spheres and Planes

[+] 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(3), 499-503 (Jul 01, 1979) (5 pages) doi:10.1115/1.3454084 History: Received May 15, 1978; Online October 21, 2010


The main problem considered is that of determining spheres which best approximate given sets of spatial points. The spheres sought are best in the sense of having the minimum-maximum radial distance from the points to be approximated. Configuration of the points with respect to the best spheres is discussed in detail. Related results are also obtained for the approximation of points by planes.

Copyright © 1979 by ASME
Topics: Approximation
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