Choosing nodes in parametric curve interpolation
Computer-Aided Design
Knot selection for parametric spline interpolation
Mathematical methods in computer aided geometric design
Deformable curve and surface finite-elements for free-form shape design
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Efficient, fair interpolation using Catmull-Clark surfaces
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Automatic reconstruction of B-spline surfaces of arbitrary topological type
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
A universal parametrization in B-spline curve and surface interpolation
Computer Aided Geometric Design
A universal parametrization in b-spline curve and surface interpolation and its performance evaluation
Hierarchical triangular patches for terrain rendering with their matching blocks
Proceedings of the 3rd international conference on Digital Interactive Media in Entertainment and Arts
An improved parameterization method for B-spline curve and surface interpolation
Computer-Aided Design
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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.