A novel book with more than 1000 color images and explanatory texts.
Second edition available since August 2010, published by Spektrum Verlag.
English edition in process.

This book series is devoted to new developments in geometry and computation and its applications. It provides a scientific resource library for education, research, and industry. The series constitutes a platform for publication of the latest research in mathematics and computer science on topics in this field.

The series Mathematics and Visualization is intended to further the fruitful relationship between mathematics and visualization. It covers applications of visualization techniques in mathematics, as well as mathematical theory and methods that are used for visualization. In particular, it emphasizes visualization in geometry, topology, and dynamical systems; geometric algorithms; visualization algorithms; visualization environments; computer aided geometric design; computational geometry; image processing; information visualization; and scientific visualization.
Three types of books will appear in the series: research monographs, graduate textbooks, and conference proceedings.

This book contains the research papers presented at the Seventh Eurographics/ACM SIGGRAPH Symposium on Geometry Processing 2009 (SGP), held in Berlin, Germany July 15-17, 2009.
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.

Visualization research aims at providing insights into large, complex bodies of data. Topological methods are distinguished by their solid mathematical foundation, guiding the algorithmic analysis and its presentation among the various visualization techniques.
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 All articles present original, unpublished work from leading experts.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.

This special CAGD issue contains new developments in the fields of discrete and computational geometry with a strong potential for impacting the theoretical foundations and industrial applications of CAGD. The papers, selected after careful reviews by eminent members of the community, cover subjects ranging from curvature estimation (either from an integral invariant point of view, or from a quadrature standpoint) and bending energies, to the extraction of topological information from point sets and the design of boundary interpolants with linear precision. A short note also links surface fairness to curve fairness functionals (as used in image processing).

This book contains the research papers presented at the fourth Eurographics/ACM Symposium on Geometry Processing (SGP), held in Cagliari, Sardinia, June 26 to 28, 2006. SGP is the premier venue for disseminating cutting-edge research ideas and results in Geometry Processing.
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.

This volume constitutes the refereed proceedings of the 11th International Workshop on Combinatorial Image Analysis, IWCIA 2006, held in Berlin, Germany, in June 2006.
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.

In order to emphasize the interdisciplinary character of the young scientific field of mathematical visualization, the articles in this special section were selected to cover a broad range of topics from theory to praxis.
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.

Mathematical Visualization aims at an abstract framework for fundamental objects appearing in visualization and at the application of the manifold visualization techniques to problems in geometry, topology and numerical mathematics. The articles in this volume report on new research results in this field, on the development of software and educational material and on mathematical applications.

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.

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.

Visualization and mathematics have begun a fruitful relationship, establishing links between problems and solutions of both fields. In some areas of mathematics, like differential geometry and numerical mathematics, visualization techniques are applied with great success.
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.