isosurfaces geometry topology and algorithms

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Isosurfaces

Author : Rephael Wenger
ISBN : 9781466571020
Genre : Computers
File Size : 35. 53 MB
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Ever since Lorensen and Cline published their paper on the Marching Cubes algorithm, isosurfaces have been a standard technique for the visualization of 3D volumetric data. Yet there is no book exclusively devoted to isosurfaces. Isosurfaces: Geometry, Topology, and Algorithms represents the first book to focus on basic algorithms for isosurface construction. It also gives a rigorous mathematical perspective on some of the algorithms and results. In color throughout, the book covers the Marching Cubes algorithm and variants, dual contouring algorithms, multilinear interpolation, multiresolution isosurface extraction, isosurfaces in four dimensions, interval volumes, and contour trees. It also describes data structures for faster isosurface extraction as well as methods for selecting significant isovalues. For designers of visualization software, the book presents an organized overview of the various algorithms associated with isosurfaces. For graduate students, it provides a solid introduction to research in this area. For visualization researchers, the book serves as a reference to the vast literature on isosurfaces.

Computational Science And Its Applications Iccsa 2014

Author : Beniamino Murgante
ISBN : 9783319091297
Genre : Computers
File Size : 58. 78 MB
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The six-volume set LNCS 8579-8584 constitutes the refereed proceedings of the 14th International Conference on Computational Science and Its Applications, ICCSA 2014, held in Guimarães, Portugal, in June/July 2014. The 347 revised papers presented in 30 workshops and a special track were carefully reviewed and selected from 1167. The 289 papers presented in the workshops cover various areas in computational science ranging from computational science technologies to specific areas of computational science such as computational geometry and security.

An Introduction To Verification Of Visualization Techniques

Author : Tiago Etiene
ISBN : 9781627058346
Genre : Computers
File Size : 26. 22 MB
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As we increase our reliance on computer-generated information, often using it as part of our decision-making process, we must devise tools to assess the correctness of that information. Consider, for example, software embedded on vehicles, used for simulating aircraft performance, or used in medical imaging. In those cases, software correctness is of paramount importance as there's little room for error. Software verification is one of the tools available to attain such goals. Verification is a well known and widely studied subfield of computer science and computational science and the goal is to help us increase confidence in the software implementation by verifying that the software does what it is supposed to do. The goal of this book is to introduce the reader to software verification in the context of visualization. In the same way we became more dependent on commercial software, we have also increased our reliance on visualization software. The reason is simple: visualization is the lens through which users can understand complex data, and as such it must be verified. The explosion in our ability to amass data requires tools not only to store and analyze data, but also to visualize it. This book is comprised of six chapters. After an introduction to the goals of the book, we present a brief description of both worlds of visualization (Chapter 2) and verification (Chapter 3). We then proceed to illustrate the main steps of the verification pipeline for visualization algorithms. We focus on two classic volume visualization techniques, namely, Isosurface Extraction (Chapter 4) and Direct Volume Rendering (Chapter 5). We explain how to verify implementations of those techniques and report the latest results in the field of verification of visualization techniques. The last chapter concludes the book and highlights new research topics for the future.

Discrete Geometry For Computer Imagery

Author : David Coeurjolly
ISBN : 9783540791263
Genre : Computers
File Size : 77. 43 MB
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This book constitutes the refereed proceedings of the 14th IAPR TC-18 International Conference on Discrete Geometry for Computer Imagery, DGCI 2008, held in Lyon, France, in April 2008.

Topological Methods In Data Analysis And Visualization

Author : Valerio Pascucci
ISBN : 3642150144
Genre : Mathematics
File Size : 36. 81 MB
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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).

Geometrie Der Zahlen Classic Reprint

Author : Hermann Minkowski
ISBN : 0266789013
Genre : Mathematics
File Size : 50. 90 MB
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Excerpt from Geometrie der Zahlen Der Bogen, den wir als zweite Lieferung veröffentlichen, fand sich als vollständig abgeschlossenes Manuskript im Nachlasse, und wir handeln nach dem Wunsche des Verfassers, wenn wir ihn für sich herausgeben und so dem Werke einen gewissen Abschluß verleihen. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Algorithmen Zur Grafik Und Bildverarbeitung

Author : Theodosios Pavlidis
ISBN : 3882291249
Genre : Algorithms
File Size : 85. 3 MB
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Mathematical Foundations Of Scientific Visualization Computer Graphics And Massive Data Exploration

Author : Torsten Möller
ISBN : 9783540499268
Genre : Computers
File Size : 37. 40 MB
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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 sets. Being able to derive scienti?c insight from data increasingly depends on having mathematical and perceptual models to provide the necessary foundation for effective data analysis and comprehension. The peer-reviewed state-of-the-art research papers included in this book focus on continuous data models, such as is common in medical imaging or computational modeling. From the viewpoint of a visualization scientist, we typically collaborate with an application scientist or engineer who needs to visually explore or study an object which is given by a set of sample points, which originally may or may not have been connected by a mesh. At some point, one generally employs low-order piecewise polynomial approximationsof an object, using one or several dependent functions. In order to have an understanding of a higher-dimensional geometrical “object” or function, ef?cient algorithms supporting real-time analysis and manipulation (- tation, zooming) are needed. Often, the data represents 3D or even time-varying 3D phenomena (such as medical data), and the access to different layers (slices) and structures (the underlying topology) comprising such data is needed.

Vmv 2004

Author : Bernd Girod
ISBN : UOM:39015060830943
Genre : Vision
File Size : 40. 85 MB
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These proceedings include the contributions to the 9th International Workshop on Vision, Modeling and Visualization held in November, 2004 in Stanford, USA. The contributions cover the areas: .Calibration, Registration, Tracking .Image and Video-based Modeling and Rendering .Simulation and Rendering .Geometry Processing .Volume Data Processing and Scientific Visualization The workshop has been organized jointly by members of the Computer Graphics Group at the Max-Planck-Institute in Saarbrücken and by members of Stanford University. VMV 2004 marks the launch of the Max Planck Center for Visual Computing and Communication between Stanford and the German Max Planck Society this year, which opens a new chapter of transatlantic research collaboration in this area. Additionally, VMV 2004 has generously been supported by the Graduate Research Center - 3D Image Analysis and Synthesis, Signal Processing Society IEEE, Sonderforschungsbereich 603, German Informatics Society GI and the Eurographics - European Association for Computer Graphics.

Zur Kunst Des Formalen Denkens

Author : Rainer E. Burkard
ISBN : 3851653580
Genre : Art
File Size : 83. 42 MB
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