1.

Record Nr.

UNINA9910825100203321

Autore

Wenger Rephael

Titolo

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

Pubbl/distr/stampa

Boca Raton : , : CRC Press, , 2013

ISBN

0-429-10186-4

1-4665-7102-0

Edizione

[1st ed.]

Descrizione fisica

1 online resource (484 p.)

Classificazione

COM012000COM012040MAT012000

Disciplina

516.3/52

Soggetti

Surfaces

Isogeometric analysis

Three-dimensional imaging - Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

An AK Peters Book.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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

Sommario/riassunto

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--