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Interactive B-spline Curve Modification by Using Energy Methods

机译:能量法交互式修改B样条曲线

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摘要

There is an increasing demand in conceptual design for more interactive and intuitive methods for creating and modifying freeform curves and surfaces in CAD modelling systems. The methods should be based not only on the change of the mathematical parameters, but also on the user's specified constraints. Energy method is presented to modify a B-spline curve globally. Unlike the traditional internal energy, the new internal energy function will keep the tendency to the shape of original curve other than to produce a "flat" curve while minimizing the internal energy. The curve modifications are carried out by minimizing the total energy: sum of the internal energy and the external energy. Numerical experiments indicate that the curve modification can be interactively and intuitively carried out just by clicking the mouse, the shape of original curve are well preserved, and no local local bump or dent are produced.
机译:在概念设计中,对用于在CAD建模系统中创建和修改自由曲线和曲面的更具交互性和直观性的方法的需求不断增长。该方法不仅应基于数学参数的变化,而且还应基于用户指定的约束条件。提出了能量方法来全局修改B样条曲线。与传统的内部能量不同,新的内部能量函数将保持原始曲线形状的趋势,而不是在使内部能量最小化的同时生成“平坦”曲线。通过使总能量最小化来进行曲线修改:总能量:内部能量和外部能量之和。数值实验表明,只需单击鼠标,就可以交互式直观地进行曲线修改,原始曲线的形状得到很好的保存,并且不会产生局部的局部凹凸。

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