Chen Long, Liu Yusheng, Xu Gang. Generation of volume parameterization model based on discrete harmonic mapping[J]. Journal of Image and Graphics, 2015, 20(4): 568-575. DOI: 10.11834/jig.20150414.
The volume parametric model has many excellent characteristics and extensive application prospects. Determining the method by which to create the model is an urgent issue to address. This study first presents the expression of volume parametric model and proposes the setting of control points as the core issue. After the control points of the six boundary surfaces are presented
a new method for creating the control points of the volume parametric model is presented on the basis of the differential form of harmonic functions from the computational domain to the parameter domain. The Jacobian matrix and isoparametric network are also presented to assess the quality of the generated volume model. A volume parametric model is constructed on the basis of the point cloud model.A detailed comparison is performed between our method and the discreet Coons and convex combinative interpolation methods. Results show that the discreet harmonic function method can obtain a more stable and optimized model compared with other methods. Discrete harmonic mapping method can get initial volume parametric model but the model is required to be optimized and has provides a very good basis by using our method.