The Cubic α-Catmull-Rom Spline
AbstractBy extending the definition interval of the standard cubic Catmull-Rom spline basis functions from [0,1] to [0,α], a class of cubic Catmull-Rom spline basis functions with a shape parameter α, named cubic α-Catmull-Rom spline basis functions, is constructed. Then, the corresponding cubic α-Catmull-Rom spline curves are generated based on the introduced basis functions. The cubic α-Catmull-Rom spline curves not only have the same properties as the standard cubic Catmull-Rom spline curves, but also can be adjusted by altering the value of the shape parameter α even if the control points are fixed. Furthermore, the cubic α-Catmull-Rom spline interpolation function is discussed, and a method for determining the optimal interpolation function is presented. View Full-Text
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Li, J.; Chen, S. The Cubic α-Catmull-Rom Spline. Math. Comput. Appl. 2016, 21, 33.
Li J, Chen S. The Cubic α-Catmull-Rom Spline. Mathematical and Computational Applications. 2016; 21(3):33.Chicago/Turabian Style
Li, Juncheng; Chen, Sheng. 2016. "The Cubic α-Catmull-Rom Spline." Math. Comput. Appl. 21, no. 3: 33.