Universal parametrization in constructing smoothly-connected B-spline surfaces Original Research Article

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 G0 continuity on B-spline surfaces when several independently constructed patches are put together without imposing any constraints. Also, a simple blending method of patchwork is proposed to construct Cn−1 surfaces, where overlapping control nets are utilized. It takes into account the semi-localness property of universal parametrization. It effectively helps us construct very natural looking B-spline surfaces while keeping the deviation from given data points very low. Experimental results are shown with several sets of surface data points.