Data visualization using rational spline interpolation

Monotone Data Visualization Using Rational Trigonometric Spline Interpolation

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...

Data Visualization Using Hardware Accelerated Spline Interpolation

We present our method of real-time rendering of grid-structured data. The method uses bicubic spline interpolation running on common current graphics hardware to map the values to a texture. It allows us to render isolines of the visualized data and dynamically change the visualization parameters. We have implemented the method and incorporated it into a system of real-time simulation and visua...

Data Visualization Using Rational Trigonometric Spline

This paper describes the use of trigonometric spline to visualize the given planar data. The goal of this work is to determine the smoothest possible curve that passes through its data points while simultaneously satisfying the shape preserving features of the data. Positive, monotone, and constrained curve interpolating schemes, by using aC piecewise rational cubic trigonometric spline with fo...

Visualization of Surface Data Using Rational Bicubic Spline

Scientific visualization is concerned with the presentation of interactive or animated digital images to users to understand data. The advantages of scientific visualization are: huge amount of data is converted into one picture, it correlates different quantities. One of the problems faced by scientific visualization community is visualization of positive data. Visualization of positive data i...

Constrained Interpolation Using Rational Cubi Spline Curves with Linear Denominators