Sometimes our feelings are so big, our dreams and our worries so wide, that we can't find the words to express them. How MUCH love we feel; what a new sibling will bring; exactly what it's like to take a hard tumble, or to want the sun to shine on a rainy day. These thoughts and questions are explored by Hans and Monique Hagen in poems pitched perfectly to the children who wonder. Marit Toernqvist is their brilliant partner, spreading gorgeous color and heartfelt imagery across these pages. If you want a sneak peek at what we mean, turn to the sunflower spread on page thirty, and feel...yourself smile.

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 the management of time-dependent data, the representation of large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc. . The editors have brought together the most prominent and best recognized researchers in the field of topology-based data analysis and visualization for a joint discussion and scientific exchange of the latest results in the field. This book contains the best 20 peer-reviewed papers resulting from the discussions and presentations at the third workshop on "Topological Methods in Data Analysis and Visualization", held 2009 in Snowbird, Utah, US. The 2009 "TopoInVis" workshop follows the two successful workshops in 2005 (Slovakia) and 2007 (Germany).

For some time, medicine has been an important driver for the development of data processing and visualization techniques. Improved technology offers the capacity to generate larger and more complex data sets related to imaging and simulation. This, in turn, creates the need for more effective visualization tools for medical practitioners to interpret and utilize data in meaningful ways. The first edition of Visualization in Medicine and Life Sciences (VMLS) emerged from a workshop convened to explore the significant data visualization challenges created by emerging technologies in the life sciences. The workshop and the book addressed questions of whether medical data visualization approaches can be devised or improved to meet these challenges, with the promise of ultimately being adopted by medical experts. Visualization in Medicine and Life Sciences II follows the second international VMLS workshop, held in Bremerhaven, Germany, in July 2009. Internationally renowned experts from the visualization and driving application areas came together for this second workshop. The book presents peer-reviewed research and survey papers which document and discuss the progress made, explore new approaches to data visualization, and assess new challenges and research directions.

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 that presents the state of the art in the visualization and processing of tensor fields. It contains some longer chapters dedicated to surveys and tutorials of specific topics, as well as a great deal of original work by leading experts that has not been published before. It serves as an overview for the inquiring scientist, as a basic foundation for developers and practitioners, and as as a textbook for specialized classes and seminars for graduate and doctoral students.

Based on the seminar that took place in Dagstuhl, Germany in June 2011, this contributed monograph studies the four important topics within the scientific visualization field: uncertainty visualization, multifield visualization, biomedical visualization and scalable visualization.

Uncertainty visualization deals with uncertain data from simulations or sampled data, uncertainty due to the mathematical processes operating on the data, and uncertainty in the visual representation,
Multifield visualization addresses the need to depict multiple data at individual locations and the combination of multiple datasets,
Biomedical is a vast field with select subtopics addressed from scanning methodologies to structural applications to biological applications,
Scalability in scientific visualization is critical as data grows and computational devices range from hand-held mobile devices to exascale computational platforms.

"Scientific Visualization" will be useful to practitioners of scientific visualization, students interested in both overview and advanced topics and those interested in knowing more about the visualization process."

One of the important issues of Scientific Visualization is the utilization of the broad bandwidth of the human sensory system in steering and interpreting complex processes and simulations involving voluminous data sets across diverse scientific disciplines. This book presents the state-of-the-art in visualization techniques both as an overview for the inquiring scientist, and as a solid platform from which developers may extend existing techniques or devise new ones to meet the specific needs of their problems. A secondary goal in crafting this volume has been to provide a vehicle for teaching of state-of-the-art techniques in scientific visualization. The first part of the book covers the application areas fluid flow visualization in medicine, and environmental protection. The second set of chapters explain fundamentals of scientific visualization. It comprises contributions on data structuring and data administration, data modeling, and rendering. A final section is devoted to auditory representation of scientific data.

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 that the large-scale relationships and homogeneities that we see can only be explainedby having the universe expand suddenlyin a very early "in?ationary" period. Subsequent evolution of the Universe is described by the Hubble expansion, the observation that the galaxies are ?ying away from each other. We can attribute di?erent rates of this expansion to domination of di?erent cosmological processes, beginning with radiation, evolving to matter domination, and, relatively recently, to vacuum domination (the Cosmological Constant term)[4]. We assume throughout that we will be relying as much as possible on observational data, with simulations used only for limited purposes, e.g., the appearance of the Milky Wayfrom nearbyintergalactic viewpoints. The visualization of large-scale astronomical data sets using?xed, non-interactive animations has a long history. Several books and ?lms exist, ranging from "Cosmic View: The Universe in Forty Jumps" [3] by Kees Boeke to "Powers of 10" [6,13] by Charles and Ray Eames, and the recent Imax ?lm "Cosmic Voyage" [15]. We have added our own contribution [9], "Cosmic Clock," which is an animation based entirely on the concepts and implementation described in this paper.

For some time, medicine has been an important driver for the development of data processing and visualization techniques. Improved technology offers the capacity to generate larger and more complex data sets related to imaging and simulation. This, in turn, creates the need for more effective visualization tools for medical practitioners to interpret and utilize data in meaningful ways.

The first edition of Visualization in Medicine and Life Sciences (VMLS) emerged from a workshop convened to explore the significant data visualization challenges created by emerging technologies in the life sciences. The workshop and the book addressed questions of whether medical data visualization approaches can be devised or improved to meet these challenges, with the promise of ultimately being adopted by medical experts.

Visualization in Medicine and Life Sciences II follows the second international VMLS workshop, held in Bremerhaven, Germany, in July 2009. Internationally renowned experts from the visualization and driving application areas came together for this second workshop.

The book presents peer-reviewed research and survey papers which document and discuss the progress made, explore new approaches to data visualization, and assess new challenges and research directions.

The assembled papers span the frontiers of VMLS, examining these topics:

* Feature Extraction

* Classification

* Volumes and Shapes

* Tensor Visualization

* Visualizing Genes, Proteins, and Molecules"

This book is based on lectures presented at an international workshop on geometric modeling held at Hewlett Packard GmbH in Boblingen, FRG, in June 1990. International experts from academia and industry were selected to speak on the most interesting topics in geometric modeling. The resulting papers, published in this volume, give a state-of-the-art survey of the relevant problems and issues. The following topics are discussed: - Methods for constructing surfaces on surfaces: four different solutions to the multidimen sional problem of constructing an interpolant from surface data are provided. - Surfaces in solid modeling: current results on the implementation of free-fonn solids in three well established solid models are reviewed. - Box splines and applications: an introduction to box spline methods for the representation of surfaces is given. Basic properties of box splines are derived, and refinement and evaluation methods for box splines are presented in detail. Shape preserving properties, the construction of non-rectangular box spline surfaces, applications to surface modeling, and imbedding problems, are discussed. - Advanced computer graphics techniques for volume visualization: the steps to be executed in the visualization process of volume data are described and tools are discussed that assist in handling this data. - Rational B-splines: an introduction to the representation of curves and surfaces using rational B-splines is given, together with a critical evaluation of their potential for industrial application."

Topology-based methods are of increasing importance in the analysis and visualization of dataset from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc. (see also below for a list of selected issues). While there is an increasing number of high-quality publications in this field, many fundamental questions remain unsolved. New focused efforts are needed in a variety of techniques ranging from the theoretical foundations of topological models, algorithmic issues related to the representation power of computer-based implementations as well as their computational efficiency, user interfaces for presentation of quantitative topological information, and the development of new techniques for systematic mapping of science problems in topological constructs that can be solved computationally. In this forum the editors have brought together the most prominent and best recognized researchers in the field of topology-based data analysis and visualization for a joint discussion and scientific exchange of the latest results in the field. The 2009 workshop in Snowbird, Utah, follows the two successful workshops in 2005 (Budmerice, Slovakia) and 2007 (Leipzig, Germany).

Visualization technology is becoming increasingly important for medical and biomedical data processing and analysis. The interaction between visualization and medicine is one of the fastest expanding fields, both scientifically and commercially. This book discusses some of the latest visualization techniques and systems for effective analysis of such diverse, large, complex, and multi-source data.

This book presents 13 peer-reviewed papers as written results from the 2005 workshop "Topology-Based Methods in Visualization" that was initiated to enable additional stimulation in this field. It contains a survey of the state-of-the-art, as well original work by leading experts that has not been published before, spanning both theory and applications. It captures key concepts and novel ideas and serves as an overview of current trends in its subject.

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 that presents the state of the art in the visualization and processing of tensor fields. It contains some longer chapters dedicated to surveys and tutorials of specific topics, as well as a great deal of original work by leading experts that has not been published before. It serves as an overview for the inquiring scientist, as a basic foundation for developers and practitioners, and as as a textbook for specialized classes and seminars for graduate and doctoral students.

This book emerged from a DoE/NSF-sponsored workshop, held in Tahoe City, California, October 2000. About fifty invited participants presented state-of-the-art research on topics such as: - terrain modeling- multiresolution subdivision- wavelet-based scientific data compression- topology-based visualization- data structures, data organization and indexing schemes for scientific data visualization.All invited papers were carefully refereed, resulting in this collection. The book will be of great interest to researchers, graduate students and professionals dealing with scientific visualization and its applications.

Die Gesellschaft fur Informatik (GI) veranstaltet eine Reihe von Seminaren, die wichtigen aktuellen Entwicklungen gewidmet sind. Unter der Anleitung von Wissenschaftlern, die auf dem Gebiet ausgewiesen sind, erarbeiten junge Wissenschaftler solche Forschungsgebiete, die noch keine Darstellung in Lehrbuchern gefunden haben, mit dem Ziel, diese in einheitlicher Terminologie und verstandlich darzustellen."

Die sachgerechte Prasentation von umweltbezogenen Daten gewinnt aufgrund der steigenden Komplexitat der Umweltprobleme eine immer grossere Bedeutung. Aufgrund der Unterschiede in den Benutzerkreisen werden die Anforderungen an Visualisierungstechniken breiter. Das Buch gibt einen Uberblick uber den derzeitigen Stand in Forschung und Praxis. Dabei werden Querbezuge zu Simulation und Modellbildung, Umweltinformationssystemen und Schnittstellenproblematik hergestellt.

This collection of ideas and results on topics of curve and surface design is intended for research in the academic environment as well as for practical use in industrial applications. Main emphasis is on minimal energy splines and geometric spline curves, and on techniques beyond tensor product surfaces.

we are a part of, the current discussions of global recession in the media alerts us to the occasional perils of the globalized economic system. The globally dispersed, intricately integrated, and hyper-complex socio-economic-ecological system is d- ficult to analyze, comprehend and communicate without effective visualization tools. Given that planners are at the frontlines in the effort to prepare as well as build res- ience in the impacted communities, appropriate visualization tools are indispensable for effective planning. Second, planners have largely been slow to incorporate the advances in visuali- tion research emerging from other domains of inquiry. The research on visualizing 3-dimensional environments have now entered the mainstream of computer science with a number of highly cited articles. Other disciplines, such as graphic design, geography and cartography have also lead in the development of new forms of vi- alization and communication, both conceptually and technologically. In contrast, the literature on modeling and visualization in planning has relied heavily on g- graphic information systems (GIS) tools that continue to provide two-dimensional spatial maps in formats not significantly different from those of a decade ago. This is not to suggest that research on planning support systems and GIS have been stagnant. Integrated models of transportation-land use-environment have become more sophisticated and several operational models are currently in use. Regardless, visualization research in planning has not kept pace with these developments. This volume attempts to redress this gap in the planning literature.