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

A univariate rational quadratic trigonometric interpolating spline to visualize shaped data

This study was concerned with shape preserving interpolation of 2D data. A piecewise C1 univariate rational quadratic trigonometric spline including three positive parameters was devised to produce a shaped interpolant for given shaped data. Positive and monotone curve interpolation schemes were presented to sustain the respective shape features of data. Each scheme was tested for plentiful shaped data sets to substantiate the assertion made in their construction. Moreover, these schemes were compared with conventional shape preserving rational quadratic splines to demonstrate the usefulness of their construction

Monotone Rational Trigonometric Interpolation

This study is concerned with the visualization of monotone data using a piece-wise C1 rational trigonometric interpolating scheme. Four positive shape parameters are incorporated in the structure of rational trigonometric spline. Conditions on two of these parameters are derived to attain the monotonicity of monotone data and other two are left-free. Figures are used widely to exhibit that the proposed scheme produces graphically smooth monotone curves

Permukaan Sapuan Translasi Dan Putaran Lengkung Kuartik Serupa Bezier.

Dalem kertaskerja ini kita akan membincangkan tentang lengkung kuartik serupa Bezier yang merupakan adunan dua lengkung kubik serupa Bezier [Said, 1990]

Local Convexity-Preserving C

We present the smooth and visually pleasant display of 2D data when it is convex, which is contribution towards the improvements over existing methods. This improvement can be used to get the more accurate results. An attempt has been made in order to develop the local convexity-preserving interpolant for convex data using C2 rational cubic spline. It involves three families of shape parameters in its representation. Data dependent sufficient constraints are imposed on single shape parameter to conserve the inherited shape feature of data. Remaining two of these shape parameters are used for the modification of convex curve to get a visually pleasing curve according to industrial demand. The scheme is tested through several numerical examples, showing that the scheme is local, computationally economical, and visually pleasing

Appilaction On Spiral Design.

In this paper, we introduce a G2 planar cubic transition curve by using Habib's approach. This approach purposed in 2002 where the parameters are more complete and easier to read

Using Mathematica & Matlab For CAGD/CAD Research Education.

In CAGD/CAD research and education, users are involved with development of mathematical algorithms and followed by the analysis or the resultant algorithm

Kecekapan Bermatematik Dalam Reka Bentuk Untuk Keperluan Industri.

Dengan tahap kecekapan kompuler yang tinggi serta pirisiannya yang canggih telah banyak mbmbantu pereka bagi mereka bentuk produk barangan buatan dalam industri masa kini

Developing A General Algorithm For Ball CurveWith GC2.

This paper dwells in developing a general algorithm for constructing a piecewise Ball Curve with curvature continuity (GC2)