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Shape Modeling with a Cubic Trigonometric Beta B-Spline with Local Support Basis Functions
International Journal of Computational Methods ( IF 1.7 ) Pub Date : 2024-03-15 , DOI: 10.1142/s0219876224500063
Shamaila Samreen 1 , Arslan Khalid Khan 1 , Muhammad Sarfraz 2
Affiliation  

The modeling capabilities of trigonometric B-spline curves with form parameters are comparable to those of classical B-spline curves in terms of their significance and use. Through the application of basic functions and shape parameters, this method presents the cubic trigonometric B-spline curves. Constructed by these functions, the concept of designing curves and surfaces possesses all the ideal geometric qualities, such as the partition of unity, convex hull, affine invariance, and variation decreasing. The parameters that are used in the creation of the recommended approach are helpful for several important form characteristics. These vital form aspects include local, global, and biased tension qualities, which provide good control over the curve and allow for shape change as required. In addition, the C2 strategy is the one that is suggested for use.



中文翻译:

使用具有局部支撑基函数的三次三角 Beta B 样条进行形状建模

具有形状参数的三角 B 样条曲线的建模能力在重要性和用途方面与经典 B 样条曲线相当。该方法通过应用基本函数和形状参数,给出三次三角B样条曲线。在这些函数的构建下,曲线曲面的设计概念具备了一切理想的几何性质,如统一划分、凸包、仿射不变性、变分递减等。创建推荐方法时使用的参数对于几个重要的表单特征很有帮助。这些重要的形状方面包括局部、全局和偏置张力质量,它们提供了对曲线的良好控制并允许根据需要进行形状变化。除此之外C2策略是建议使用的策略。

更新日期:2024-03-15
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