Polygon modeling based on gradient deformation
                                                                    WANG Zhong fei, JIN Qing xian
          （The Ministry of Education Key Lab of Mechanical Manufacture & Automation, Zhejiang University of Technology, Hangzhou 310014, China）

Abstract: Aimed at the program of the application of 3D printing technology seriously hindered by the existing 3D modeling software with high professional barriers and high learning cost, combined with the intuitive 3D deformation technology, a polygon modeling method was showed which was based on gradient deformation. This method achieves the local deformation by the gradient deformation offset applies to the editing area, and the constraint of grid degenerate was used to keep the mesh number unchanged before and after deformation. By setting the boundary of the surface to control the deformation area, the shape of the deformation was controlled by the control points and the target points, and the degradation grid was eliminated by the detection of the triangle area after deformation. Finally, the method was implemented on the Web platform. The results indicate that the calculation time of deformation is proportional to the number of mesh to be deformed, and the calculation speed is very quick by the 3D design process of local deformation.

Key words: 3D printing; polygon modeling; gradient deformation; grid degenerate