Laplacian surface editing
Laplacian surface editing
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DOI：
10.1145/1057432.1057456
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发表时间：
2004-07
期刊：
影响因子：
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通讯作者：
O. Sorkine-Hornung;D. Cohen-Or;Y. Lipman;M. Alexa;Christian Rössl;H. Seidel
中科院分区：
文献类型：
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作者：
O. Sorkine-Hornung;D. Cohen-Or;Y. Lipman;M. Alexa;Christian Rössl;H. Seidel
表面编辑操作通常要求尽可能多地保留表面的几何细节。我们认为几何细节是表面的内在属性，因此，表面编辑最好通过在内在表面表示上操作来执行。我们提供了这样一个表面的表示，基于网格的拉普拉斯，通过编码每个顶点相对于它的邻居。增强了网格的拉普拉斯算子对局部线性化的刚性变换和缩放的不变性。基于这种拉普拉斯表示，我们开发了有用的编辑操作：基于手柄变换的感兴趣区域的交互式自由形式变形，两个表面之间的几何细节转移和混合，以及将部分表面网格移植到另一个表面上。所有操作涉及的主要计算是一个稀疏线性系统的解，它可以在交互速率下完成。我们在几个例子中证明了我们方法的有效性，表明编辑操作在尊重结构几何细节的同时改变了形状。
Surface editing operations commonly require geometric details of the surface to be preserved as much as possible. We argue that geometric detail is an intrinsic property of a surface and that, consequently, surface editing is best performed by operating over an intrinsic surface representation. We provide such a representation of a surface, based on the Laplacian of the mesh, by encoding each vertex relative to its neighborhood. The Laplacian of the mesh is enhanced to be invariant to locally linearized rigid transformations and scaling. Based on this Laplacian representation, we develop useful editing operations: interactive free-form deformation in a region of interest based on the transformation of a handle, transfer and mixing of geometric details between two surfaces, and transplanting of a partial surface mesh onto another surface. The main computation involved in all operations is the solution of a sparse linear system, which can be done at interactive rates. We demonstrate the effectiveness of our approach in several examples, showing that the editing operations change the shape while respecting the structural geometric detail.