Detail-preserving azial deformation using curve pairs
Traditional axial deformation is simple and intuitive for users to modify the shape of objects. However, unexpected twist of the object may be obtained. The use of a curve-pair allows the local coordinate frame to be controlled intuitively. However, some important geometric details may be lost and changed in the deformation process. In this paper, we present a detail-preserving axial deformation algorithm based on Laplacian coordinates. Instead of embedding the absolute coordinates into deformation space in traditional axial deformation, we transform the Laplacian coordinates at each vertex according to the transformation of local frames at the closest points on the axial curve. Then the deformed mesh is reconstructed by solving a linear system that describes the reconstruction of the local details in least squares sense. By associating a complex 3D object to a curve-pair, the object can be stretched, bend, twisted intuitively through manipulating the curve-pair, and can also be edited by means of view-dependent sketching. This method combines the advantages of axial deformation and Laplacian mesh editing. Experimental results are presented to show the effectiveness of the proposed method.
azial deformation curve pair detall-preserving Laplacian coordinate free form defor-mation
Wen-Bing Ge Gang Xu Kin-Chuen Hui Guo-Ping Wang
CAD Laboratory, Department of Mechanical and Automation Engineering, The Chinese University of HongK CAD Laboratory, Department of Mechanical and Automation Engineering, The Chinese University of HongK CAD Laboratory, Department of Mechanical and Automation Engineering, The Chinese University of HongK The key lab on machine perception and intelligence of MOE, Peking University, Beijing, 100871, China
国际会议
IEEE International Conference on Shape Modeling and Applications (SMI)(2009年形状建模国际会议)
北京
英文
58-65
2009-06-26(万方平台首次上网日期,不代表论文的发表时间)