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Data visualization using rational spline interpolation. (English) Zbl 1086.65010
Summary: A smooth curve interpolation scheme for positive, monotonic, and convex data is developed. This scheme uses piecewise rational cubic functions. The two families of parameters, in the description of the rational interpolant, are constrained to preserve the shape of the data. The rational spline scheme has a unique representation. The degree of smoothness attained is C 1 .
MSC:
65D18Computer graphics, image analysis, and computational geometry
65D07Splines (numerical methods)
65D05Interpolation (numerical methods)