Isosurfaces : geometry, topology, and algorithms / Rephael Wenger.

Format:

Book

Author/Creator:

Wenger, Rephael, author.

Language:

English

Subjects (All):

Surfaces.

Isogeometric analysis.

Three-dimensional imaging--Mathematics.

Three-dimensional imaging.

Physical Description:

1 online resource (484 p.)

Edition:

1st ed.

Place of Publication:

Boca Raton : CRC Press, 2013.

Language Note:

English

Summary:

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.

Contents:

Front Cover; Dedication; Contents; Preface; Acknowledgments; Chapter 1: Introduction; Chapter 2: Marching Cubes and Variants; Chapter 3: Dual Contouring; Chapter 4: Multilinear Interpolation; Chapter 5: Isosurface Patch Construction; Chapter 6: Isosurface Generation in 4D; Chapter 7: Interval Volumes; Chapter 8: Data Structures for Faster Isosurface Construction; Chapter 9: Multiresolution Tetrahedal Meshes; Chapter 10: Multiresolution Polyhedral Meshes; Chapter 11: Isovalues; Chapter 12: Contour Trees; Appendix A: Geometry; Appendix B: Topology; Appendix C: Graph Theory; Appendix D: Notation

Bibliography

Notes:

An AK Peters Book.

Includes bibliographical references.

Description based on metadata supplied by the publisher and other sources.

ISBN:

1-04-019734-5

0-429-10186-4

1-4665-7102-0

9780429101861

OCLC:

854973535