基于内在变量的空间三角网格的形状混合

本文给出了基于内在变量插值的空间三角网格形状混合的内在解算法。

SHAPE BLENDING BETWEEN 3D TRIANGULAR MESHES BASED ON THEIR INTRINSIC VARIABLES

This paper presents a solution to the interpolation of transforming one triangular meshmodel into another triangular mesh based on their intrinsic definitions. Rather than considering atriangular mesh as a set of independent points, the solution treats a triangular mesh as a set of intrinsic variables which describes the basic geometric nature of the triangular mesh. The correspondent intrinsic variables of the initial and the final meshes are interpolated to determine the intermediate shapes. This approach is easy and fast enough in fully interactive time and can avoid the shrinkage and kinks because all the variables change monotonically. The approach produces satisfactoryresults and is translation and rotation invariant. It is also useful for the shape blending betweenfree-form surfaces as they can be approximated by triangular mesh using triangulation techniques.