基于Metaball的曲面约束变形模型及应用

A Constrained Curve Surface Deformation Model Based on Metaball

结合曲面变形技术和Metaball原理,提出了基于Metaball的曲面约束变形模型,将Metaball的势函数表达曲面变形的约束,用它去作用于待变形曲面,通过调整Metaball势函数的约束中心、作用半径、偏移等参数控制曲面的预期变形效果,利用骨架卷积获得平坦光滑的曲面.讨论了约束关系、单个约束的影响、控制约束的相互影响等问题,并举例说明了这个模型的机理和应用.

Combining the curve surface deformation technique and the metaball method, a metaball based curve surface constrained deformation model is presented. The field function of metaball expresses the restriction of curve surface deformation that is applied on the surface. Regulation of the parameters of the field function can master the desired deformation result. The parameters include the field function type, the center, the effect radius and the displacement of metaball. Convolution from skeleton achieves smooth surface. Some issues concerning curve surface deformation are discussed in this paper, such as relationship between constraints, the effect of single constraint, to control the influence of other constraint, etc. Several samples illustrate the mechanism and application in the curve surface modeling and soft surface simulating of the model.