School of Software, Harbin University of Science and Technology, Harbin, China

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Abstract—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.

Index Terms—Laplacian coordinates, mesh deformation, sketching

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Cite: Sha Chenming, Zhang Xiaojing, and Yue Yajie, "Laplacian Meshes Deformation Based on the Offset of Sketching," Journal of Software vol. 7, no. 9, pp. 2083-2090, 2012.