Hans-Christian Hege

Konrad Polthier (Eds.)

Mathematical Visualization is a young new discipline. It offers efficient visualization tools to the classical subjects of mathematics, and applies mathematical techniques to problems in computer graphics and scientific visualization.

Mathematical visualization started in the interdisciplinary area of differential geometry, numerical mathematics, and computer graphics. In recent years, the methods developed have found important applications, and the subject has evolved to a discipline in its own right. The current volume is the quintessence of an international workshop in September 1997 in Berlin, focusing on recent developments in this emerging area. Experts present selected research work on new algorithms for visualization problems, describe the application and experiments in geometry, and develop new numerical or computer graphical techniques.

The book is the second in a series of publications on this subject. It offers the reader insight to latest research and developments in this fascinating new area.

We thank Eduard Gröller, Thomas Kucera, and Helwig Löffelmann for contributing the dynamics of the Poincare flow as part of the book cover.

### Content

Numerical Meshes and Visualization | with contributions by P.Cignoni, T.Ertl, R.Grosso,
N.Heußer, M.Kohler, C.Montani, H.Müller, M.Rumpf, D.Ruprecht,
R.Scopigno |

Geometry and Numerics | with contributions by G.Dziuk, G.Glaeser, E.Gröller,
K.Große-Brauckmann, T.Hoffmann, J.E.Hutchinson, W.Kühn, R.B.Kusner, K.
Polthier, M.Schmies, J.M.Sullivan |

Graphics Algorithms and Implementations | with contributions by J.Döllner, K.Hinrichs,
A.Inselberg, H.P.Seidel, P.Slusallek, M.Stamminger, I.Sterling,
T.Sterling, A.C.Telea, C.W.A.M.van Overveld |

Geometric Visualization Techniques | with contributions by U.Axen, H.Edelsbrunner,
G.Francis, J.C.Hart, C.Hartman, R.T.Rau, D.Roseman, H.Ruder,
J.M.Sullivan, D.Weiskopf |

Vector Fields and Flow Visualization | with contributions by K.Brodlie, E.Gröller, H.Hagen,
H.C.Hege, H.Krüger, T.Kucera, H.Löffelmann, A.Lopes, G.Scheuermann,
D.Stalling, L.Testard |

### Keywords

Scientific Visualization, Numerical Mathematics, Scientific Computing, Computer Graphics

1998, 391 pp., 187 figs., 46 figs. in color, hardcover

Springer Verlag Heidelberg ISBN 3-540-63991-8

Editor at Springer: Dr. Martin Peters