Universal parametrization in constructing smoothly-connected B-spline surfaces

  • Authors:
  • Choong-Gyoo Lim

  • Affiliations:
  • Electronics and Telecommunications Research Institute (ETRI), South Korea

  • Venue:
  • Computer Aided Geometric Design
  • Year:
  • 2002

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Abstract

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.