首页> 外文会议>Innovation and Analytics Conference and Exhibition >The Existence of Inflection Points for Generalized Log-Aesthetic Curves Satisfying G~1 Data
【24h】

The Existence of Inflection Points for Generalized Log-Aesthetic Curves Satisfying G~1 Data

机译:满足G〜1数据的广义对数美感曲线的拐点存在

获取原文

摘要

Log-Aesthetic (LA) curves have been implemented in a CAD/CAM system for various design feats. LA curves possess linear Logarithmic Curvature Graph (LCG) with gradient (shape parameter) denoted as a . In 2009, a generalized form of LA curves called Generalized Log-Aesthetic Curves (GLAC) has been proposed which has an extra shape parameter as V compared to LA curves. Recently, G~1 continuous GLAC algorithm has been proposed which utilizes the extra shape parameter using four control points. This paper discusses on the existence of inflection points in a GLAC segment satisfying G~1 Hermite data and the effect of inflection point on convex hull property. It is found that the existence of inflection point can be avoided by manipulating the value of a . Numerical experiments show that the increase of a may remove the inflection point (if any) in a GLAC segment.
机译:对于各种设计壮举的CAD / CAM系统,已经在CAD / CAM系统中实现了日志美学(LA)曲线。 La曲线具有线性对数曲率图(LCG),具有表示为a的梯度(形状参数)。 2009年,已经提出了一种称为广义对数曲线(GLAC)的LA曲线形式,其与LA曲线相比,具有额外的形状参数。最近,提出了G〜1连续Glac算法利用四个控制点利用额外的形状参数。本文讨论了满足G〜1 Hermite数据的Glac段拐点存在的存在及拐点对凸壳特性的影响。发现可以通过操纵a的值来避免存在拐点的存在。数值实验表明,A的增加可以在GLAC段中移除拐点(如果有的话)。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号