xiii, 474 pages : illustrations (chiefly color) ; 25 cm
"An AK Peters Book."
Includes bibliographical references (pages 453-467) and index.
2. Marching cubes and variants
3. Dual contouring
4. Multilinear interpolation
5. Isosurface patch construction
6. Isosurface generation in 4D
7. Interval volumes
8. Data structures
9. Multiresolution tetrahedral meshes
10. Multiresolution polyhedral meshes
12. Contour trees
C. Graph theory
"Ever since Lorensen and Cline published their paper on the marching cubes algorithm, isosurfaces have been a standard technique for the visualization of 3D volumetric data. Yet there is no book exclusively devoted to isosurfaces. This book presents the basic algorithms for isosurface construction and gives a rigorous mathematical perspective to some of the algorithms and results. It offers a solid introduction to research in this area as well as an organized overview of the various algorithms associated with isosurfaces"-- Provided by publisher.