Isosurfaces: Geometry, Topology, and Algorithms

Rephael Wenger

June 24, 2013 by A K Peters/CRC Press
Reference - 488 Pages - 228 Color & 228 B/W Illustrations
ISBN 9781466570979 - CAT# K16513


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  • Represents one of the first books exclusively devoted to isosurfaces
  • Provides the mathematical foundation for Marching Cubes and other isosurface algorithms
  • Describes the properties of the isosurfaces produced by each algorithm and presents proofs that the isosurfaces have those properties
  • Compares the advantages and disadvantages of each technique


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.

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