Metaball重叠区域作用效果混合

在表现隐式曲面或曲面变形时，多个Metaball作用的重叠区域常会出现肿胀、褶皱、撕裂等缺陷。前人虽曾通过调整Metaball参数、简单叠加、直接合并等来解决这些问题，但未能得到效果好，且效率高的满意结果，为此，在分析、研究了Metaball单独作用、作用范围重叠的基础上，分别针对点骨架、直线段、曲线段骨架，提出了线性加权和、代数混合、指数加权和方法，用以处理多个Metaball在重叠区域的作用效果混合。实验表明。这些混合方法不但可与曲面的表示方法以及Metaball势函数的形式无关，而且在边界处的过渡较平滑，其效果与效率也得到了实例验证。

Influence Blending of Metaballs in Overlap Area

While implicit surface or surface deformation is represented by multiple metaballs, bulge, crease and tearing frequently appear in overlap area. Researchers tried to tackle the defect by means of adjusting parameters of metaball, simple superposition and direct union. However, they failed to reach expectant result. By the study on single metaball influence and multiple metaball influence overlap, the authors present several blending methods for point, line segment and curve segment skeleton respectively. The multiple metaball influence overlap blending methods include linear weight blend, algebraic blend, and exponent average blend. These blending methods are independent from the expressions of surfaces and the field function formula of metaball. Case studies show that the effect and efficiency of the suggested methods are satisfied.