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Isosurfaces: geometry, topology, and algorithms

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"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 Read more...

Author(s): Rephael Wenger
Publisher: CRC Press
Year: 2013

Language: English
Pages: 474
City: Boca Raton
Tags: Математика;Высшая геометрия;


Content: 1. Introduction --
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 --
11. Isovalues --
12. Contour trees --
A. Geometry --
B. Topology --
C. Graph theory --
D. Notation.
Abstract: "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"