Title: Binary subdivision scheme with three parameters for surface design
Abstract: As extension of the classical 4-point interpolating subdivision scheme,an improved scheme to design subdivision curves using three control parameters is presented.The sufficient conditions of the uniform convergence property and Ck continuity properties of this subdivision scheme are proved.At the same time,it is extended to surface design.Given the condition of the initial data,its' very easy to adjust and control the surface shape through selecting appropriate parameters.The scheme can solve the problems of position adjustment and shape control of curves and surfaces that exist in engineering.
Publication Year: 2011
Publication Date: 2011-01-01
Language: en
Type: article
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