Uniform hyperbolic polynomial B-spline curves
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Non-uniform subdivision schemes of ωB-spline curves and surfaces with variable parameters
2023, CAD Computer Aided DesignCitation Excerpt :They define a smooth curve/surface as the limit of successive refinements of the original control polygon/mesh. The simplicity of application of subdivision schemes to represent complex surfaces justifies their extension in a wide variety of fields [4–10]. If the subdivision rule remains unchanged in each level of subdivision, the subdivision scheme is stationary, otherwise, it is non-stationary.
α-B-splines non-stationary subdivision schemes for grids of arbitrary topology design
2022, Computers and Graphics (Pergamon)Citation Excerpt :We refer the interested reader to [10,20–24], and references therein, for further publications on non-stationary techniques that generate various types of curves/surfaces. In connection with the construction of the non-stationary subdivision schemes generating different kinds of curves/surfaces, Lü et al. (see [25,26]) proposed subdivision schemes for uniform algebraic-trigonometric B-spline (UAT) curves and uniform algebraic–hyperbolic (UAH) curves. Zhang et al. (see [27]) unified CB-splines and HB-splines into FB-splines (Functional B-splines) by a unified base.
Algebraic and geometric characterizations of a class of Algebraic-Hyperbolic Pythagorean-Hodograph curves
2022, Computer Aided Geometric DesignSystem for Finding the Optimal Coefficients of an Interpolation Spline
2024, AIP Conference ProceedingsA compact algebraic representation of cardinal GB-splines
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