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FREE-FORM DEFORMATIONS BASED ON GAUSSIAN FUNCTIONS- FUNDAMENTAL THEORY FOR INTERACTIVE MODELING-

机译:基于高斯函数的自由形式变形-交互建模的基本理论-

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Interactive and intutive modeling is one of the most important issues in geometric modeling. However, modeling a complex object interactively and intuitively is still a difficult problem. In this paper, new Fee-Form Deformations(FFDs) based on Gaussian functions are introduced. Different from previous FFDs that are based on Bernstein or B-spline function, FFDs based on Gaussian functions allow an arbitrary number of control points to be placed in arbitrary positions. Moreover, the standard deviations of Gaussian functions can control the localness of the effects of control points. These facts provide designers with more interactivity and more intuitiveness. The designer can place a manipulation point in the region to be modified, and by changing the standard deviations, the designers can choose the effect of localness of the movement of the manipulation point. The definition of FFDs based on Gaussian functions ,as well as several examples of the FFDs, is presented.
机译:交互式和直观建模是几何建模中最重要的问题之一。但是,以交互方式和直观方式对复杂对象进行建模仍然是一个难题。本文介绍了一种基于高斯函数的新的费率形变(FFD)。与以前的基于Bernstein或B样条函数的FFD不同,基于高斯函数的FFD允许将任意数量的控制点放置在任意位置。此外,高斯函数的标准偏差可以控制控制点效果的局部性。这些事实为设计师提供了更多的交互性和更直观的体验。设计人员可以将操作点放置在要修改的区域中,并且通过更改标准偏差,设计人员可以选择操作点移动的局部性影响。介绍了基于高斯函数的FFD的定义以及FFD的几个示例。

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