Abstract

Parametric curve and surface algorithms for geometric modeling are presented which minimize design constraints while maximizing flexibility and extensibility. The pertinence of such methods is demonstrated in the requirements of automobile styling via a computer system. An algorithm for fitting spline curves to piecewiselinear, sketched data sets is given. A reparameterization scheme for curves is presented, along with a method for generating cross-boundary derivative functions on general topological meshes. The application of these methods to the creation of smooth, fair surfaces is discussed and examples from a production geometric modeling system are provided.

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