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Mathematics and Visualization

Mathematics and Visualization
46 Volumes | 2001 - 2019

Description

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.

All books of the series Mathematics and Visualization

2012 | Book

Topological Methods in Data Analysis and Visualization II

Theory, Algorithms, and Applications

When scientists analyze datasets in a search for underlying phenomena, patterns or causal factors, their first step is often an automatic or semi-automatic search for structures in the data. Of these feature-extraction methods, topological ones st

2012 | Book

New Developments in the Visualization and Processing of Tensor Fields

Bringing together key researchers in disciplines ranging from visualization and image processing to applications in structural mechanics, fluid dynamics, elastography, and numerical mathematics, the workshop that generated this edited volume was t

2011 | Book

Topological Methods in Data Analysis and Visualization

Theory, Algorithms, and Applications

Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include t

2009 | Book

Visualization and Processing of Tensor Fields

Advances and Perspectives

2009 | Book

Topology-Based Methods in Visualization II

Visualization research aims to provide insight into large, complicated data sets and the phenomena behind them. While there are di?erent methods of reaching this goal, topological methods stand out for their solid mathem- ical foundation, which guide

2009 | Book

Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration

The goal of visualization is the accurate, interactive, and intuitive presentation of data. Complex numerical simulations, high-resolution imaging devices and incre- ingly common environment-embedded sensors are the primary generators of m- sive data

2008 | Book

Shape Analysis and Structuring

Several techniques have been developed in the literature for processing different aspects of the geometry of shapes, for representing and manipulating a shape at different levels of detail, and for describing a shape at a structural level as a con

2008 | Book

Visualization in Medicine and Life Sciences

Visualization technology has become a crucial component of medical and b- medical data processing and analysis. This technology complements tra- tional image processing methods as it allows scientists and practicing medical doctors to visually intera

2008 | Book

VizSEC 2007

Proceedings of the Workshop on Visualization for Computer Security

Networked computers are ubiquitous, and are subject to attack, misuse, and abuse. One method to counteracting this cyber threat is to provide security analysts with better tools to discover patterns, detect anomalies, identify correlations, and co

2007 | Book

Image Processing Based on Partial Differential Equations

Proceedings of the International Conference on PDE-Based Image Processing and Related Inverse Problems, CMA, Oslo, August 8–12, 2005

The book contains twenty-two original scienti?c research articles that address the state-of-the-art in using partial di?erential equations for image and signal processing. The articles arose from presentations given at the inter- tional conference on

2007 | Book

Topology-based Methods in Visualization

Enabling insight into large and complex datasets is a prevalent theme in visualization research for which different approaches are pursued.

Topology-based methods are built on the idea of abstracting characteristic structures such as the t

2006 | Book

Scientific Visualization: The Visual Extraction of Knowledge from Data

One of the greatest scientific challenges of the 21st century is how to master, organize and extract useful knowledge from the overwhelming flow of information made available by today’s data acquisition systems and computing resources.

2006 | Book

Visualization and Processing of Tensor Fields

Matrix-valued data sets – so-called second order tensor fields – have gained significant importance in scientific visualization and image processing due to recent developments such as diffusion tensor imaging. This book is the first edited volume tha

2006 | Book

Triangulations and Applications

This book is entirely about triangulations. With emphasis on computational issues, we present the basic theory necessary to construct and manipulate triangulations. In particular, we make a tour through the theory behind the Delaunay triangulation, i

2006 | Book

Algebraic Geometry and Geometric Modeling

Algebraic Geometry provides an impressive theory targeting the understanding of geometric objects defined algebraically. Geometric Modeling uses every day, in order to solve practical and difficult problems, digital shapes based on algebraic model

2005 | Book

Advances in Multiresolution for Geometric Modelling

Multiresolution methods in geometric modelling are concerned with the generation, representation, and manipulation of geometric objects at several levels of detail. Applications include fast visualization and rendering as well as coding, compressi

2004 | Book

Geometric Modeling for Scientific Visualization

Geometric Modeling and Scientific Visualization are both established disciplines, each with their own series of workshops, conferences and journals. But clearly both disciplines overlap, which led to the idea of composing a book on Geometric …

2004 | Book

Graph Drawing Software

Automatic Graph Drawing is concerned with the layout of relational structures as they occur in Computer Science (Data Base Design, Data Mining, Web Mining), Bioinformatics (Metabolic Networks), Businessinformatics (Organization Diagrams, Event …

2003 | Book

Hierarchical and Geometrical Methods in Scientific Visualization

The nature of the physical Universe has been increasingly better understood in recent years, and cosmological concepts have undergone a rapid evolution (see, e.g., [11], [2],or [5]). Although there are alternate theories, it is generally believed …

2003 | Book

Visualization and Mathematics III

Mathematical Visualization aims at an abstract framework for fundamen­ tal objects appearing in visualization and at the application of the manifold visualization techniques to problems in geometry, topology and numerical mathematics. The articles …