Abstract
In the refurbishing of mechanical parts, it is important to identify where the part is worn. If the perimeter of a crossection of a worn cylindrical object is approximated by a closed parametric spline curve, the radius and centre of curvature of the curve can be used to determine the original position of the axis of the object, i.e. its position in its unworn state, to a given tolerance. Such approximations by cubic and quintic B-splines with least-squares smoothing are discussed and compared.
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