An algorithm for fitting data over a circle using tensor product splines

摘要

An algorithm is described for surface fitting over a circle by using tensor product splines which satisfy certain boundary conditions. This algorithm is an extension of an existing one for fitting data over a rectangle. The knots of the splines are chosen automatically but a single parameter must be specified to control the tradeoff between closeness of fit and smoothness of fit. The algorithm can easily be generalized for fitting data over any domain that can be described in polar coordinates. Constraints at the boundaries of this approximation domain can be imposed.