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

Format:

Book

Author/Creator:

Wenger, Rephael.

Contributor:

Thea Marie Garfield Fund.

Language:

English

Subjects (All):

Surfaces.

Isogeometric analysis.

Three-dimensional imaging--Mathematics.

Three-dimensional imaging.

Mathematics.

Physical Description:

xiii, 474 pages : illustrations (chiefly color) ; 25 cm

Place of Publication:

Boca Raton : CRC Press, 2013.

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:

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.

Notes:

"An AK Peters Book."

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Thea Marie Garfield Fund.

ISBN:

1466570970

9781466570979

OCLC:

798061999

Publisher Number:

99954909272