Second edition available since August 2010, published by Spektrum Verlag.

English edition in process.

**Geometry and Computing**

Series Editors: Herbert Edelsbrunner, Leif Kobbelt, Konrad Polthier

Springer Verlag. ISSN: 1866-6795

First volumes released, for example:

Rida Farouki, Pythagorean-Hodograph Curves

**Mathematics and Visualization**

Series Editors:

Gerald Farin, Hans-Christian Hege, David Hoffman, Chris Johnson, Konrad Polthier, Martin Rumpf

Springer Verlag. ISSN: 1612-378

Three types of books will appear in the series: research monographs, graduate textbooks, and conference proceedings.

**Symposium on Geometry Processing 2009 (SGP09)**

Edited by
Marc Alexa,
Michael Kazhdan and
Konrad
Polthier

Eurographics/ACM Siggraph 2009

Order directly from Eurographics Publishing Press.

SGP is the premier venue for disseminating new research ideas and cutting-edge results in computerized processing of geometric models.

The research papers included in this book address diverse topics in Geometry Processing, including: shape analysis and matching, surface remeshing, reconstruction from samples, segmentation, triangulation, and compression.

**Topology-Based Methods in Visualization II**

Edited by
Hans-Christian Hege, Konrad Polthier and Gerik Scheuermann

Springer Verlag (2009), 190 p. 89 illustrations., 78 in
color.

This book contains 13 peer-reviewed papers resulting from the second workshop on "Topology-Based Methods in Visualization", held 2007 in Grimma near Leipzig, Germany. All articles present original, unpublished work from leading experts. Together, these articles present the state of the art of topology-based visualization research.

**Special Issue on Discrete Differential Geometry**

Edited by Mathieu Desbrun and Konrad Polthier

Computer Aided Geometric Design, Volume 24, Issues 8-9, 427-528 pp., Elsevier (2007).

**Symposium on Geometry Processing 2006 (SGP06)**

Edited by Alla
Sheffer and
Konrad
Polthier

Eurographics/ACM Siggraph 2006.

Order directly from Eurographics Publishing Press.

Table of Content (as PDF).

The research papers included in the book address diverse topics in Geometry Processing, including: surface reconstruction, model analysis and matching, computational geometry, surface fitting, remeshing, subdivision surfaces, and mesh editing.

**Combinatorial Image Processing 2006**(

**IWCIA06 Program**)

Edited by Ralf
Reulke, Ulrich Eckhardt, Boris Flach, Ulrich Knauer and
Konrad
Polthier

Series:
Lecture Notes
in Computer Science , Vol. 4040, 2006, XII, 482 pp.,

ISBN: 3-540-35153-1LNCS
4040, Springer Verlag.

Table of Content (as PDF).

The topics covered include combinatorial image analysis; grammars and models for analysis and recognition of scenes and images; combinatorial topology and geometry for images; digital geometry of curves and surfaces; algebraic approaches to image processing; image, point clouds or surface registration, as well as fuzzy and probabilistic image analysis.

**Special Issue on Mathematics and Visualization**

Edited by Hans-Christian
Hege and
Konrad
Polthier

IEEE Transactions on Visualization and Computer Graphics.

Volume 10, Issue 5, 2004.

The papers include topics from discrete and differential geometry, combinatorial and differential topology, graph theory, vector field analysis, geometry compression, image processing, signal processing, feature detection, image segmentation, numerical methods, and partial differential equations.

**Visualization and Mathematics III**

Eds: Hans-Christian Hege and Konrad Polthier

Springer Verlag (2003), 457 pages, with 240 Figures, 47 in color.

**Multimedia Tools for Communicating Mathematics**

Eds: J. Borwein, M. Morales, K. Polthier, J.F. Rodrigues

2002, 314 pp., 114 Figs., 46 Figs. in color, hardcover, Springer Verlag Heidelberg.

With CD-ROM.

This book presents latest tools and algorithms to create new ways of making enhanced interactive presentations and experiments. An invaluable and up-to-date reference book on multimedia tools presently available for mathematics and related scientific fields, with a distinguished focus on education.

**Mathematical Visualization**

Eds: Hans-Christian Hege and Konrad Polthier

Springer Verlag (1998).

Algorithms for mathematical visualization problems, applications and experiments in geometry, and techniques for numerics and computer graphics.

However, visualization methods heavily rely on mathematical concepts. Applications of visualization in mathematical research and the use of mathematical methods in visualization have been topic of the international workshop VisMath 95 in Berlin. The workshop was met with great approval by mathematicians and computer graphic experts. It was considered a link between the fields "Visualization in Mathematics" and "Mathematical Methods in Computer Graphics".

This book contains a selection of contributions of this workshop which treat topics of particular interest in current research. Experts are reporting on their latest work, giving an overview on this fascinating new area. The reader will get insight to state-of-the-art techniques for solving visualization problems and mathematical questions.