Isosurfaces: Geometry, Topology, and Algorithms

ISBN-13: 9781466570979 / Angielski / Twarda / 2013 / 488 str.

Rephael Wenger

Opis

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.

Spis treści

Introduction. Marching Cubes and Variants. Dual Contouring. Multilinear Interpolation. Isosurface Patch Construction. Isosurface Generation in 4D. Interval Volumes. Data Structures. Multiresolution Tetrahedral Meshes. Multiresolution Polyhedral Meshes. Isovalues. Contour Trees. Appendices. Bibliography. Index.

O autorze

Rephael Wenger is an associate professor in the Department of Computer Science and Engineering at the Ohio State University. He earned a Ph.D. from McGill University. He has published over fifty papers in computational geometry, computational topology, combinatorics, geometric modeling, and visualization.