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Kinematic Geometry Associated With the Least-Square Approximation of a Given Motion
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The problem of finding the locus of points in a moving plane which best approximate a circle in N positions is studied. The approximation is one which minimizes the deviation of the sum of ...
Chebychev Approximations of Finite Point Sets with Application to Planar Kinematic Synthesis
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: 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 ...
Chebychev Approximations of Spatial Point Sets Using Spheres and Planes
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: 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 ...
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