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Interactive B-spline Curve Modification by Using Energy Methods

机译:通过使用能量方法进行交互式B样条曲线修改

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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 bump or dent are produced.
机译:概念设计中有越来越大的需求,以便在CAD建模系统中创建和修改自由形式曲线和曲面的更多互动和直观的方法。该方法不仅应基于数学参数的变化,还应基于用户的指定约束。提出了能量方法以全局修改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,除了产生“平坦”曲线,同时最小化内部能量。通过最小化总能量:内部能量和外部能量的总和来进行曲线修改。数值实验表明,只需点击鼠标即可相互作用和直观地进行曲线修改,原始曲线的形状保持良好,并且不会产生局部凹凸或凹痕。

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