Universal parametrization in constructing smoothly-connected B-spline surfaces

摘要

In this paper, we explore the feasibility of universal parametrization in generating B-spline surfaces, which was proposed recently in the literature (Lim, 1999). We present an interesting property of the new parametrization that it guarantees G~0 continuity on B-sline surfaces when several independently constructed patches are put together without imposing any constraints. Also, a simple blending method of patchwork is proposed to construct C~n-1 surfaces, where overlapping control nets are utilized.