Shape Preserving C2-Spline Histopolation
نویسندگان
چکیده
منابع مشابه
Shape Preserving Interpolation Using C2 Rational Cubic Spline
Abstract: This study proposes new C rational cubic spline interpolant of the form cubic/quadratic with three shape parameters to preserves the geometric properties of the given data sets. Sufficient conditions for the positivity and data constrained modeling of the rational interpolant are derived on one parameter while the remaining two parameters can further be utilized to change and modify t...
متن کاملShape Preserving C Spline Interpolation
In this paper we summarize the main results of where an algo rithm of shape preserving C spline interpolation for arbitrary D discrete data is developed We consider a classi cation of such data to separate the sec tions of linearity the angles and the breaks For remaining data we give a local algorithm of C interpolation by generalized splines with automatic choice of the parameters to retain t...
متن کاملShape Preserving C2 Interpolatory Subdivision Schemes
Stationary interpolatory subdivision schemes which preserve shape properties such as convexity or monotonicity are constructed. The schemes are rational in the data and generate limit functions that are at least C 2. The emphasis is on a class of six-point convexity preserving subdivision schemes that generate C 2 limit functions. In addition, a class of six-point monotonicity preserving scheme...
متن کاملLocal 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 کاملA linear approach to shape preserving spline approximation
This report deals with approximation of a given scattered univariate or bivariate data set that possesses certain shape properties, such as convexity, monotonicity, and/or range restrictions. The data are approximated for instance by tensor-product B-splines preserving the shape characteristics present in the data. Shape preservation of the spline approximant is obtained by additional linear co...
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: Journal of Approximation Theory
سال: 1993
ISSN: 0021-9045
DOI: 10.1006/jath.1993.1106