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Digital Differential Geometry Processing

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Journal of Computer Science & Technology 2006年第5期21卷 847-860页

作者：刘新国鲍虎军彭群生 State Key Lab of CAD& CG Zhejiang University Hangzhou 310027 P.R. China

The theory and methods of digital geometry processing has been research area in computer graphics, as geometric models serves as the core data for 3D graphics applications. The purpose of this paper is to introduce some recent advances in digital geometry processing, particularly mesh fairing, surface parameterization and mesh editing, that heavily use differential geometry quantities. Some related concepts from differential geometry, such as normal, curvature, gradient, Laplacian and their counterparts on digital geometry are also reviewed for understanding the strength and weakness of various digital geometry processing methods.

关键词： digital geometry geometric algorithm mesh editing Laplacian parameterization

Space Deformations,Surface Deformations and the Opportunities In-Between

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Journal of Computer Science & Technology 2009年第1期24卷 2-5页

作者： Daniel Cohen-Or School of Computer Science Tel-Aviv UniversityIsrael

In recent years we have witnessed a large interest in surface deformation techniques. This has been a reaction that can be attributed to the ability to develop techniques which are detail-preserving. Space deformation techniques, on the other hand, received less attention, but nevertheless they have many advantages over surface-based techniques. This paper explores the potential of these two approaches to deformation and discusses the opportunities that the fusion of the two may lead to.

关键词： space deformation mesh editing digital surfaces

Curvature detail representation of triangular surfaces

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2006年第7期7卷 1210-1214页

作者： WU Jin-zhong LIU Xue-hui WU En-hua State Key Lab of Computer Science Institute of Software Chinese Academy of Sciences Beijing 100080 China Department of Computer and Information Science University of Macao Macao China Graduate University of Chinese Academy of Sciences Beijing 100039 China

Curvature tells much about details of surfaces and is studied widely by researchers in the computer graphics com- munity. In this paper, we first explain the mean-curvature view of Dirichlet energy of triangular surfaces and introduce a curvature representation of details, and then present surfaces editing applications based on their curvature representation. We apply our method to surfaces with complex boundaries and rich details. Results show the validity and robustness of our method and dem- onstrate curvature map can be a helpful surfaces detail representation.

关键词： Curvature Detail representation mesh editing Shape editing Dirichlet energy

editing smoke animation using a deforming grid

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Computational Visual Media 2017年第4期3卷 369-378页

作者： Zherong Pan Dinesh Manocha The University of North Carolina at Chapel Hill NC27514USA

We present a new method for editing smoke animations by directly deforming the grid used for simulation. We present a modification to the widely used semi-Lagrangian advection operator and use it to transfer the deformation from the grid to the smoke body. Our modified operator bends the smoke particle streamlines according to the deformation *** demonstrate that the controlled smoke animation preserves the fine-grained vortical velocity components and incompressibility constraints, while conforming to the deformed grid. Moreover, our approach enables interactive 3D smoke animation editing by using a reduced-dimensional subspace. Overall, our method makes it possible to use current mesh editing tools to control the smoke body.

关键词： smoke animation animation editing mesh editing