1st Edition
by Rephael Wenger (Author)
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. Isosurfaces: Geometry, Topology, and Algorithms
represents the first book to focus on basic algorithms for isosurface
construction. It also gives a rigorous mathematical perspective on some
of the algorithms and results.
In color throughout, the
book covers the Marching Cubes algorithm and variants, dual contouring
algorithms, multilinear interpolation, multiresolution isosurface
extraction, isosurfaces in four dimensions, interval volumes, and
contour trees. It also describes data structures for faster isosurface
extraction as well as methods for selecting significant isovalues.
For
designers of visualization software, the book presents an organized
overview of the various algorithms associated with isosurfaces. For
graduate students, it provides a solid introduction to research in this
area. For visualization researchers, the book serves as a reference to
the vast literature on isosurfaces.
