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Constructing a CAD model from a physical model plays a key role in some rapid product development processes. Presented in the paper is a method of ®tting NURBS surfaces for rotational freeform shapes: (1) cloud-of-points data (COP-data) representing a rotational freeform shape are transformed into an orthogonal coordinate system, (2) a single-valued B-spline surface is ®tted to the transformed data, and (3) the resulting B-spline surface is converted to a 3D NURBS surface by applying a symbolicdoi:10.1016/s0010-4485(01)00198-1 fatcat:jir2xtpdffh4lie3adxlve3vwe