Isosurfaces: Geometry, Topology, and Algorithms

摘要: Introduction What Are Isosurfaces? Applications of Isosurfaces Isosurface Properties Construction Limitations Multi-Valued Functions and Vector Fields Definitions Basic Techniques Marching Cubes Variants Squares Tetrahedra Dual Contouring Surface Nets Comparison with Multilinear Interpolation Bilinear Interpolation: 2D The Asymptotic Decider: 3D Trilinear Patch Notation Table Polyhedra Algorithm Isohull Generation in 4D Hypercubes Simplices Polytopes Interval Volumes MCVol Automatic Volume Tetrahedral Meshes Convex Polyhedral Data Structures Uniform Grid Partitions Octrees Span Space Priority Trees Seed Sets Multiresolution Bisection Mesh Isovalues Counting Vertices Edges Measuring Gradients Contour Examples Definition Tree Join, Split Merge Constructing Theory Proofs Simplification Appendix A: Geometry B: Topology C: Graph D: Bibliography Index Notes Comments appear at the end each chapter.