Shape-preserving $C\sp 2$ cubic polynomial interpolating splines

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Shape preserving interpolation by cubic G 1 splines in

In this paper, G continuous cubic spline interpolation of data points in R, based on a discrete approximation of the strain energy, is studied. Simple geometric conditions on data are presented that guarantee the existence of the interpolant. The interpolating spline is regular, loop-, cuspand fold-free.

متن کامل

Interactive shape preserving interpolation by curvature continuous rational cubic splines

A scheme is described for interactively modifying the shape of convexity preserving planar interpolating curves. An initial curve is obtained by patching together rational cubic and straight line segments. This scheme has, in general, geometric continuity of order 2(G continuity) and preserves the local convexity of the data. A method for interactively modifying such curves, while maintaining t...

متن کامل

C4 Interpolatory Shape-Preserving Polynomial Splines of Variable Degree

This paper introduces a new family of c'-continuous interpolatory variable-degree polynomial splines and investigates their interpolation and asymptotic properties as the segment degrees increase. The basic outcome of this investigation is an iterative algorithm for constructing C4 interpolants, which conform with the discrete convexity and torsion information contained in the associated polygo...

متن کامل

Partial shape-preserving splines

A complex geometric shape is often a composition of a set of simple ones, which may differ from each other in terms of their mathematical representations and the ways in which they are constructed. One of the necessary requirements in combining these simple shapes is that their original shapes can be preserved as much as possible. In this paper, a set of partial shape-preserving (PSP) spline ba...

متن کامل

Polynomial cubic splines with tension properties

Article history: Available online 30 June 2010

متن کامل

ذخیره 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: Mathematics of Computation

سال: 1991

ISSN: 0025-5718

DOI: 10.1090/s0025-5718-1991-1079015-1