A Novel Method for 3D Morphing by Deformation Matrix with Triangle Meshes

摘要

We introduce a 3D morphing method which generates a merged model given a series of triangle meshes. Our morphing, based on a set of parameters between the source and target shapes, can show the process of the transformation from the source to the target smoothly. We choose a model as our reference mesh, and obtain corresponding unified models from other models which may have different number of vertices or facets. Given these unified models, parameters between any two meshes can be computed integrally or separately for each rigid part. Different forms of combination of the parameters can generate different merged models. To address the collapsed situation happened occasionally, shape and pose morphing are separated for some parts in our work. By merging different parts of different models, we can get a merged shape, e.g. an animal with the horse head and the cat body. As an application of our 3D morphing method, quantifying the difference between any two models can be done efficiently, represented by the distance between any two sets of low-dimensional parameters reduced from the initial parameters using Principal Component Analysis (PCA). Character replacement and model driven are another two applications. Characters in 2D images are used to guide our morphing work and depth image sequence is used to drive our merged model to show the same pose as the character in the sequence respectively.