基于趋势外推法曲线智能延伸模型及实例应用  

Intelligent extension models and their applications for non-circular curves based on trend extrapolation

作　　者：杨国太[1] 刘有余[1] 

机构地区：[1]安徽工程大学先进数控和伺服驱动技术安徽省重点实验室,安徽芜湖241000

出　　处：《计算机工程与应用》2014年第6期46-50,共5页Computer Engineering and Applications

基　　金：国家自然科学基金(No.51175001);芜湖市2012年度专利产业化项目(No.2012ZL10)

摘　　要：为解决众多CAD软件不具备非圆曲线延伸功能,引入趋势外推原理,研究非圆曲线智能延伸技术。建立了二次和三次多项式曲线延伸、指数曲线延伸、戈珀兹曲线延伸三类智能延伸模型,分别给出趋势外推模型的识别与选择方法,可据曲线特征点合理选用。提供了智能延伸实例,阐述了智能延伸的步骤及方法,分析了它们的延伸精度,指出模型使用范围。解决了CAD软件共性核心难题,可应用于现有CAD软件的核心升级或二次开发,以增加或完善非圆曲线延伸功能。Lots of CAD software has no function of extension for non-circular curves. Intelligent extension-technology for non-circular curves is studied based on the principles of trend extrapolation. Four kinds of intelligent extension-models, including quadratic extension-model, cubic extension-model, exponential extension-model and Gompertz extension-model, are built. Moreover, the methods of identifying and choosing extension-models are discussed separately. Several applications of intelligent extension for non-circular curves are offered, which shows us that the extension-models can be available for approximate extension for a short distance if the shapes of non-circular curves are arbitrary. The theories in this paper, a kind of core technologies and generic key problems, can be used for upgrading or secondary development of existing CAD software.

关 键 词：非圆曲线 趋势外推法 智能延伸 数学模型 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]