Article ID Journal Published Year Pages File Type
4641788 Journal of Computational and Applied Mathematics 2009 14 Pages PDF
Abstract

In this work we construct three novel families of approximating subdivision schemes that generate piecewise exponential polynomials and we show how to convert these into interpolating schemes of great interest in curve design for their ability to reproduce important analytical shapes and to provide highly smooth limit curves with a controllable tension.In particular, throughout this paper we will focus on the derivation of 6-point interpolating schemes that turn out to be unique in combining vital ingredients like C2C2-continuity, simplicity of definition, ease of implementation, user independency, tension control and ability to reproduce salient trigonometric and transcendental curves.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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