Rational trigonometric cubic spline to conserve convexity of 2D data
نویسندگان
چکیده
منابع مشابه
Local Convexity-Preserving C2 Rational Cubic Spline for Convex Data
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 C(2) rational cubic spline. It involves three families of shape paramete...
متن کاملRational Cubic Trigonometric Spline with Two Shape Parameters
A rational cubic trigonometric spline with two shape parameters which play an important role in manipulating the shape of the curve is described in this paper. Its algebraic analogue with shape parameters has been discussed. Spline is presented both in interpolatory and rational B-spline form and the properties of resulting Bsplines are also studied. Keywords— Computer aided geometric design, r...
متن کاملData 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...
متن کاملMonotone 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...
متن کاملC Rational Cubic/Linear Trigonometric Interpolation Spline with Positivity-preserving Property
A class of C rational cubic/linear trigonometric interpolation spline with two local parameters is proposed. Simple sufficient conditions for constructing positivity-preserving interpolation curves are developed. By using the boolean sum of quadratic trigonometric interpolating operators to blend together the proposed rational cubic/linear trigonometric interpolation splines as four boundary fu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Egyptian Informatics Journal
سال: 2013
ISSN: 1110-8665
DOI: 10.1016/j.eij.2013.07.001