带调控参数的指数Coons曲面及其应用  

Exponential Coons Surface with Shape Parameters and Its Application

作　　者：邹倩 ZOU Qian(School of Mathematical Sciences,Huaibei Normal University,235000,Huaibei,Anhui,China)

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《淮北师范大学学报（自然科学版）》2023年第2期1-7,共7页Journal of Huaibei Normal University：Natural Sciences

基　　金：安徽省自然科学研究项目(KJ2020A1201);安徽省高校优秀青年人才支持计划项目(gxyq2019170)。

摘　　要：为拓宽双三次Coons曲面的应用,在指数函数空间上构造一组指数混合基函数,这个指数基函数带有一个调控参数,称之为E-Hermite基,E-Hermite基的几条性质会在文中给出。基于E-Hermite基,构造一种新的指数Coons曲面,这种指数Coons曲面带有两个调控参数,并称之为E-Coons曲面,E-Coons曲面保持双三次Coons曲面的良好性质,还可以通过调控参数调控曲面的形状,通过实例说明其形状可调性。最后给出E-Coons曲面精确表示双曲柱面和双曲抛物面的方法,并给出实例。In order to broaden the application of bi-cubic Coons surface,a class of exponential blending functions with one parameterλis constructed in exponential space,which is named E-Hermite basis.The properties of E-Hermite basis are illustrated in this paper.Based on the E-Hermite basis,a class of exponential Coons surface with two parameters is constructed,which is called E-Coons surface.The E-Coons surface not only has good properties of bi-cubic Coons surface,but also can control its shape easily.The shape adjustability is illustrated by two parameters.Finally,this paper gives the method of accurately representing hyperbolic cylinder and hyperbolic paraboloid,and gives some examples.

关 键 词：E-Hermite E-Coons曲面 双曲柱面 曲面造型 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]