Positivity Preserving Interpolation of Positive Data by Cubic Trigonometric Spline

For smooth and visualizing pleasant curve, we construct a positivity preserving interpolation by using alternative spline that is, cubic trigonometric spline with two shape parameters. In the description of the cubic trigonometric spline interpolant, positivity is preserved everywhere and has a unique representation for the positivity. We develop a constraints on the shape parameters to preserve the shape of the positive data in the view of smooth and pleasant positive curve by trigonometric interpolant. The degree of smoothness of the under discussion scheme is C1.