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Monotone data visualization using rational trigonometric spline interpolation
Farheen Ibraheem1, Maria Hussain2, Malik Zawwar Hussain3
1National University of Computer and Emerging Sciences, Lahore, Pakistan.
Abstract:
Rational cubic and bicubic trigonometric schemes are developed to conserve monotonicity of curve and surface data, respectively. The rational cubic function has four parameters in each subinterval, while the rational bicubic partially blended function has eight parameters in each rectangular patch. The monotonicity of curve and surface data is retained by developing constraints on some of these parameters in description of rational cubic and bicubic trigonometric functions. The remaining parameters are kept free to modify the shape of curve and surface if required. The developed algorithm is verified mathematically and demonstrated graphically.
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