Abstract
Tetrahedral Interpolation meshes which consist of a set of tetrahedrons are required to interpolate 3D meshes with low distortion. However, it is hard to construct tetrahedral interpolation meshes from interpolation meshes, because a number of interpolation meshes is generally huge. This paper presents a method which incorporate approximate rigid interpolation method with multiresolution interpolation meshes. This method constructs tetrahedral interpolation meshes from coarse level multiresolution interpolation meshes and applies approximate rigid interpolation to them. Other vertices are calculated based on refinement of multiresolution interpolation meshes. Our method is absolutely an approximate method. However, our method has an advantage which is easy to construct tetrahedral interpolation meshes, because our method can control precision of interpolation meshes.
