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- W1992581911 abstract "A constructive approach is adopted to build B-spline like basis for a rational cubic spline with a most general description. This general description is quite helpful to produce well controlled shape effects as compared to NURBS. This method provides not only a large variety of very interesting shape controls like biased, point, and interval tensions but, as a special case, also recovers the cubic B-spline curve and the rational cubic spline with tension of Gregory and Sarfraz. This method is also a C2 alternative to the GC2 or C1 spline methods like ν-spline of Nielson, β-splines of Barsky, γ-splines of Boehm, and weighted splines. The method for evaluating this rational cubic B-spline curve is suggested by a transformation to Bernstein-Bézier form. Moreover, the Bernstein-Bézier form of the NURBS is also derived through the usage of the basis functions of the method and a comparative study regarding shape characters is made." @default.
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- W1992581911 date "1992-01-01" @default.
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- W1992581911 title "A C2 rational cubic spline alternative to the nurbs" @default.
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- W1992581911 doi "https://doi.org/10.1016/0097-8493(92)90073-5" @default.
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