Abstract | ||
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The β-spline provides bins and tension control facilities for creating geometrically continuous curves and surfaces. Although geometric continuity is a more appropriate geometric measurement of smoothness than parametric continuity, parametric continuity is still necessary in some applications. The paper proposes a new C2 continuous spline scheme called the α-spline which provides weights and tension control. The new scheme is based on blending a sequence of singular reparametrized line segments with a piecewise NURBS curve. The idea is extended to produce α-spline surfaces |
Year | DOI | Venue |
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1999 | 10.1109/SMA.1999.749333 | Shape Modeling International |
Keywords | DocType | ISBN |
geometrically continuous curves,α-spline surfaces,parametric continuity,single domain,n object,singular reparametrized line segments,alpha-spline,piecewise NURBS curve,topological design method,surface fitting,computational geometry,curve fitting,existing geometric design method,c2 continuous spline,infinitely smooth genus,β-spline,C2 continuous spline scheme,splines (mathematics),geometric continuity,geometric measurement,simpler data,tension control | Conference | 0-7695-0065-X |
Citations | PageRank | References |
4 | 0.49 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
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Chiew-Lan Tai | 1 | 1640 | 77.68 |
Kia-Fock Loe | 2 | 180 | 20.88 |