保持几何特征的均值骨架子空间网格变形

Locality Preserving Mesh Deformation Based on Mean-Value Skeleton Subspace

骨架子空间网格变形算法(SSD)在许多3D应用程序中被广泛使用,但其预操作烦琐不适合于普通用户,且变形的结果常常会出现拉伸或收缩等不自然现象.提出一种改进的骨架子空间网格变形算法,将SSD与微分域坐标和均值骨架坐标相结合,达到局部几何特征及骨架特征的保持.由于改进的骨架子空间变形算法最终归结为一个线性的能量最小问题,从而达到了操作的实时性.通过实例证明,该算法不但能够实时地生成视觉真实的变形结果,而且应用广泛,适合于普通用户.

The skeleton subspace deformation （SSD） technique is a popular tool in many 3D applications. However, it is unsuitable for common user because of its complicated pre-operation, meanwhile the deformation maybe stretch or shrink unnaturally. A new improved deformation algorithm is introduced, it incorporates the SSD with the differential coordinates and mean-value skeleton coordinates, so that the local geometric detail and the skeleton characteristic are preserved. The main computation involved in the algorithm is a solution of a linear energy minimization problem, so it is real-time interactive. The experiment demonstrates that the algorithm produces vision plausible deformation in real-time, and it is well suited for various deformation application operated by common user.