Kinematic Geometry Associated With the Least-Square Approximation of a Given Motion
- 1 May 1973
- journal article
- Published by ASME International in Journal of Engineering for Industry
- Vol. 95 (2) , 503-510
- https://doi.org/10.1115/1.3438183
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 the square of the circle radius. Two ninth order curves, analogous to the circle point curves of the exact theory are derived and studied, and several numerical results are presented. These results can be applied to the synthesis of planar linkages.Keywords
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