二次三角b样条曲线的形状设计

Amna Abdul Sittar, Abdul Majeed, Abd. Rahni Mt. Piah
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引用次数: 1

摘要

b样条曲线,特别是三角b样条曲线,在计算机辅助几何设计(CAGD)领域具有重要的意义。不同的研究者开发了不同的插值方法,分别使用Ball、Bezier和普通b样条进行形状设计。本文提出了二次三角b样条(分段)曲线,为形状设计提供了新的依据。该方法只有一个形状参数,可以用来控制和改变物体的形状。不同的对象,如花,字母和花瓶已经设计使用提出的方法。还讨论了形状参数和控制点的影响。
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Shape Designing Using Quadratic Trigonometric B-Spline Curves
The B-spline curves, particularly trigonometric B-spline curves, have attained remarkable significance in the field of Computer Aided Geometric Designing (CAGD). Different researchers have developed different interpolants for shape designing using Ball, Bezier and ordinary B-spline. In this paper, quadratic trigonometric B-spline (piecewise) curve has been developed using a new basis for shape designing. The proposed method has one shape parameter which can be used to control and change the shape of objects. Different objects like flower, alphabet and vase have been designed using the proposed method. The effects of shape parameter and control points have been discussed also.
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