System In Least Squares Sense Research Articles

Multi-Resolution Meshes Deformation Based on the Offset of Sketching

The 3D meshes deformation is the deformation on 3D mesh models under users want, and keeping the mesh details at the same time. In this paper, we present a technique for multi-resolution meshes deformation based on the offset of sketching. In order to decrease the computational cost, the proposed method reduces the number of vertices involved in the deformation. First, we construct a simplified mesh using a modified CPM algorithm; and then correct Laplacian coordinates rotation by the offset of sketching and generate the deformed models by solving linear system in least squares sense with Gauss-Seidel algorithm; finally, series of details are added to the deformed simplified mesh. In contrast with the traditional deformation, our method can achieve natural deformed models more efficiently.

Laplacian Meshes Deformation Based on the Offset of Sketching

Surface representation and processing is one of the key topics in computer graphics and geometric modeling, since it greatly affects the range of possible applications. In this paper, we propose a new Laplacian meshes deformation based-on the offset of sketching to solve the drawback that Laplacian coordinates are not invariant under rotation. First, we correct Laplacian coordinates rotation by the offset of sketching, and then generate the deformed models by solving linear system in least squares sense with Gauss-Seidel algorithm. In contrast with the traditional Laplacian deformation, our method can achieve natural deformed models by only using the boundary of ROI as constraints, which makes the manipulation more simplicity.