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.
Chebychev Approximations of Spatial Point Sets Using Spheres and Planes
Y. L. Sarkisyan,
K. C. Gupta,
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.
Department of Mechanical Engineering, Stanford University, Stanford, Calif.
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Sarkisyan, Y. L., Gupta, K. C., and Roth, B. (July 1, 1979). "Chebychev Approximations of Spatial Point Sets Using Spheres and Planes." ASME. J. Mech. Des. July 1979; 101(3): 499–503. https://doi.org/10.1115/1.3454084
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