基于变分隐式曲面的网格融合

三维物体融合利用三维模型之间的剪贴操作从两个或多个现有的几何模型中光滑融合出新的几何模型.作为一种新的几何造型方法,它正受到越来越多的关注.提出一种基于变分隐式曲面的网格融合新方法.首先利用平面截面切出网格物体的待融合边界,然后通过构造插值待融合网格物体边界的变分隐式曲面并对其进行多边形化,得到待融合网格物体间的过渡曲面,最后通过剪切掉过渡曲面的多余部分及拓扑合并操作以实现过渡网格曲面与原始网格间的光滑融合与现有的直接连接待融合网格物体边界以实现网格融合的算法相比,该方法不仅突破了对待融合物体的拓扑限制,允许多个物体同时进行融合,而且算法计算快速、鲁棒,使用方便,展示出良好的应用前景.

Mesh Fusion Based on Variational Implicit Surfaces

3D object fusion provides an easy way to generate novel models from two or more existing geometric models by using 3D cutting and pasting operations. As a new kind of geometric modeling tool, it is now attracting much more attention. In this paper, a new montage mesh fusion method based on variational interpolating implicit surfaces is proposed. The approach first calculates mesh regions to be fused by cutting original meshes with boundless planes, then constructs a variational implicit surface by interpolating mesh regions to be fused and polygonalizes the implicit surface to obtain a blending surface between/among original meshes to be fused. Smooth mesh fusion is finally obtained by cutting away unwanted portions of the blending surface and performing topology merging operations. Compared with current methods that fuse mesh objects by directly connecting mesh regions to be fused, this approach has the advantages of no restriction on topologies of the mesh regions to be fused, and thus enabling the fusion among multiple objects, fast running speed with robustness, and easiness to use. The approach shows a promising future in applications for geometry modeling as well as computer animation.