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带一个形状参数的有理三次三角Bézier曲线
  • ISSN号：1672-1454
  • 期刊名称：《大学数学》
  • 时间：0
  • 分类：TP391[自动化与计算机技术—计算机应用技术;自动化与计算机技术—计算机科学与技术]
  • 作者机构：合肥工业大学数学学院,合肥230009
  • 相关基金：国家自然科学基金项目（U1135003,61472466）; 安徽省自然科学基金项目（1308085MA09）; 中央高校基本科研业务费专项经费（JZ2015HGXJ0175）; 合肥工业大学科学研究发展基金项目（J2014HGXJ0067）
作者： 樊文, 洪玲, 邢燕
关键词： 有理三次三角Bézier曲线, 形状参数, 几何连续, rational cubic trigonometric Bézier curves, shape parameter, geometric continuity
中文摘要：

构造了带一个形状参数的有理三次三角Bézier曲线,它不但具有传统三次有理Bézier曲线的几何性质,而且比传统有理Bézier曲线具有更灵活的形状调整能力.讨论了两段有理三次三角Bézier曲线的G^1和C^2拼接条件,并给出了这类曲线的应用.

英文摘要：

The rational cubic trigonometric Bézier curve with one shape parameter not only inherits the geometric properties of the traditional cubic rational Bézier curve,but also provides a more flexible control on the shape of the curve than the traditional Bézier curve does.The G^1 and C^2 composition conditions of two segments of rational cubic trigonometric curves have been discussed.The class of curves can represent ellipses and design curves and patterns.

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期刊信息
  • 《大学数学》
  • 主管单位:国家教育部
  • 主办单位:教育部数学与统计学教学指导委员会 高等教育出版社 合肥工业大学
  • 主编：徐宗本
  • 地址：合肥市屯溪路193号合肥工业大学屯溪校区320信箱
  • 邮编：230009
  • 邮箱：hfdxsx@163.com
  • 电话：0551-62901476
  • 国际标准刊号：ISSN：1672-1454
  • 国内统一刊号：ISSN：34-1221/O1
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:7540