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切点可调的带形状参数的二阶三角Bézier 曲线

  

  1. 辽宁师范大学数学学院,辽宁 大连 116029
  • 出版日期:2017-08-31 发布日期:2017-08-10
  • 基金资助:
    国家自然科学基金项目(61502217)

Adjustable Tangent Points Trigonometric Bézier Curve of Two Order with#br# Shape Parameters

  1. School of Mathematics, Liaoning Normal University, Dalian Liaoning 116029, China
  • Online:2017-08-31 Published:2017-08-10

摘要: 构造了带参数的二次三角Bézier 基函数,通过引入位置参数,得到切点可调的带
形状参数的二阶三角Bézier 曲线。其既保留了Bézier 曲线的性质,又具有形状和切点可调性,
并且能精确表示椭圆和圆。曲线拼接的条件简单,具有G1 连续。数值例子表明,给出的曲线在
曲线曲面设计中是有效的。

关键词: 三角Bé, zier 曲线, 形状参数, 连续性, 切点可调, 曲线拼接

Abstract: A trigonometric Bézier basic functions of two order with shape parameters are constructed.
By using of position parameters, the adjustable tangent points trigonometric Bézier curve of two order
with shape parameters is defined. It retains the properties of Bézier curve. Its shape and tangent points
are adjustable. And it can accurately represent ellipse and circle. The curves are G1 continuous and
the condition of curves blending is simple. Examples illustrate the method is effective for curve and
surface design.

Key words: triangular Bézier curve, shape parameter, continuity, adjustable tangent point, curve
blending