title: Monotone data visualization using rational trigonometric spline interpolation.
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.
authors: National University of Computer and Emerging Sciences, Lahore, Pakistan.
authors: Farheen
authors: F
authors: Ibraheem
authors: Department of Mathematics, Lahore College for Women University, Lahore 54600, Pakistan.
authors: Maria
authors: M
authors: Hussain
authors: Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan.
authors: Malik Zawwar
authors: 0000-0002-9335-3117
authors: MZ
authors: Hussain