| ¡¡ | Chinese Journal of Computers Full Text |
| Title | Feature Preserving Resizing of 3D Mesh Models |
| Authors | HE Jun1) ZHANG Cai-Ming1),2) |
| Address | 1)(School of Computer Science and Technology, Shandong University, Ji¡¯nan 250101) 2)(School of Computer Science and Technology, Shandong Economic University, Ji¡¯nan 250014) |
| Year | 2009 |
| Issue | No.10(2014¡ª2022) |
| Abstract & Background | Abstract This paper presents a new method for resizing 3D mesh models. The resizing is driven by scaling each edge of the mesh. And an objective function component, which is expressed as the cross product of normal vector of every triangle before and after scaling, is devised to optimize the resizing model. Its geometric meaning is to minimizing the variation of normal vector of every triangle. In the sense of Willmore energy, the cross product item can approximately minimize the variation of the Willmore energy before and after resizing. For some important featured regions of the model, whose shape should be accurately preserved, a constrained resizing method is also presented. Lagrange multiplier method is used to preserve the shape of these regions. However, existing resizing methods have not considered the accurate preserving of these important featured regions. Finally, examples are included to show that the new method can be used to resize 3D mesh models with features preserved well and important featured regions accurately preserved. Keywords 3D model resizing; non-uniform scaling; constrained resizing; cross product of normal vectors |