Digital Differential Geometry Processing

The theory and methods of digital geometry processinghas been a hot research area in computer graphics, as geometric modelsserves as the core data for 3D graphics applications. The purpose ofthis paper is to introduce some recent advances in digital geometryprocessing, particularly mesh fairing, surface parameterization andmesh editing, that heavily use differential geometry quantities. Somerelated concepts from differential geometry, such as normal, curvature,gradient, Laplacian and their counterparts on digital geometry are alsoreviewed for understanding the strength and weakness of various digitalgeometry processing methods.