Generation of Gⁿ multisided patch surfaces

Abstract

This paper proposes a method of generating multisided patches from a curve network that has arbitrary topology. The method generates N sweep surfaces from the curves surrounding ans N‐sided domain. A sweep surface is defined for each boundary of the domain by using a local parameter space that is composed of variables defined on generalized barycentric coordinates; N‐sided patches are generated by blending the sweep surfaces with interpolants that preserve geometric continuity on each boundary. The geometric continuity of the curves crossing the boundaries. Moreover, curves can be represented by arbitrary degrees and nodes. Copyright © 1993 Wiley Periodicals, Inc., A Wiley Company