A method for approximate NURBS curve compatibility and its applications

This paper presents an approximate method for making a set of NURBS curves of various types compatible. The method is based on refitting input curves simultaneously on a common knot vector while making the refitted curves have parametrically regular transition across curves. The proposed method can be utilized in several construction tasks including surface skinning and surface creation from a mesh of curves. It plays an important role in improving the quality of surfaces and realizing efficient reduction of their control points especially when the parameterization and the compatibility of input curves are not good enough. Some experimental results demonstrate its usefulness and quality.

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