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Why interval arithmetic is so useful

Why interval arithmetic is so useful

引用

2nd Workshop of the DFG's International Research Training Group on visualization of Large and Unstructured data Sets - Applications in Geospatial Planning, Modeling, and Engineering, VLUDS 2007

作者： Hijazi, Younis Hagen, Hans Hansen, Charles Joy, Kenneth I. Department of Computer Sciences University of Kaiserslautern and IRTG 1131 D-67653 Kaiserslautern Germany SCI Institute University of Utah United States Computer Science Department Institute for Data Analysis and Visualization University of California Davis United States

ISBN: (纸本)9783885794417

Interval arithmetic was introduced by Ramon Moore [Moo66] in the 1960s as an approach to bound rounding errors in mathematical computation. The theory of interval analysis emerged considering the computation of both the exact solution and the error term as a single entity, i.e. the interval. Though a simple idea, it is a very powerful technique with numerous applications in mathematics, computer science, and engineering. In this survey we discuss the basic concepts of interval arithmetic and some of its extensions, and review successful applications of this theory in particular in computer science.

关键词： Computation theory

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Generation of accurate integral surfaces in time-dependent vector fields

Generation of accurate integral surfaces in time-dependent v...

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作者： Garth, Christoph Krishnan, Hari Tricoche, Xavier Bobach, Tom Joy, Kenneth I. Institute of Data Analysis and Visualization University of California Davis United States Computer Science Dept. Purdue University Geometric Algorithms Group University of Kaiserslautern

We present a novel approach for the direct computation of integral surfaces in time-dependent vector fields. As opposed to previous work, which we analyze in detail, our approach is based on a separation of integral surface computation into two stages: surface approximation and generation of a graphical representation. This allows us to overcome several limitations of existing techniques. We first describe an algorithm for surface integration that approximates a series of time lines using iterative refinement and computes a skeleton of the integral surface. In a second step, we generate a well-conditioned triangulation. Our approach allows a highly accurate treatment of very large time-varying vector fields in an efficient, streaming fashion. We examine the properties of the presented methods on several example datasets and perform a numerical study of its correctness and accuracy. Finally, we investigate some visualization aspects of integral surfaces. © 2008 IEEE.

关键词： Numerical methods

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PointCloudXplore 2: Visual exploration of 3D gene expression

PointCloudXplore 2: Visual exploration of 3D gene expression

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2nd Workshop of the DFG's International Research Training Group on visualization of Large and Unstructured data Sets - Applications in Geospatial Planning, Modeling, and Engineering, VLUDS 2007

作者： Rübel, O. Weber, G.H. Huang, M.-Y. Bethel, E.W. Keränen, S.V.E. Fowlkes, C.C. Hendriks, C.L. Luengo DePace, Angela H. Simirenko, L. Eisen, M.B. Biggin, M.D. Hagen, H. Malik, J. Knowles, D.W. Hamann, B. International Research Training Group University of Kaiserslautern Germany Institute for Data Analysis and Visualization University of California Davis United States Computational Research Division Lawrence Berkeley National Laboratory Berkeley United States Genomics Division Lawrence Berkeley National Laboratory Berkeley United States Computer Science Department University of California Irvine United States Computer Science Division University of California Berkeley United States Lawrence Berkeley National Laboratory Life Sciences Division Berkeley United States Department of Molecular and Cellular Biology Center for Integrative Genomics University of California Berkeley United States

ISBN: (纸本)9783885794417

To better understand how developmental regulatory networks are defined in the genome sequence, the Berkeley Drosophila Transcription Network Project (BDNTP ) has developed a suite of methods to describe 3D gene expression data, i.e., the output of the network at cellular resolution for multiple time points. To allow researchers to explore these novel data sets we have developed PointCloudXplore (PCX). In PCX we have linked physical and information visualization views via the concept of brushing (cell selection). For each view dedicated operations for performing selection of cells are available. In PCX, all cell selections are stored in a central management system. Cells selected in one view can in this way be highlighted in any view allowing further cell subset properties to be determined. Complex cell queries can be defined by combining different cell selections using logical operations such as AND, OR, and NOT. Here we are going to provide an overview of PointCloudXplore 2 (PCX2), the latest publicly available version of PCX. PCX2 has shown to be an effective tool for visual exploration of 3D gene expression data. We discuss (i) all views available in PCX2, (ii) different strategies to perform cell selection, (iii) the basic architecture of PCX2., and (iv) illustrate the usefulness of PCX2 using selected examples.

关键词： visualization

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Feature Identification and Extraction in Function Fields

Feature Identification and Extraction in Function Fields

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9th Joint Eurographics/IEEE VGTC Symposium on visualization, EuroVis 2007

作者： Anderson, John C. Gosink, Luke J. Duchaineau, Mark A. Joy, Kenneth I. Institute for Data Analysis and Visualization Department of Computer Science University of California Davis United States Center for Applied Scientific Computing Lawrence Livermore National Laboratory

ISBN: (纸本)9783905673456

We present interactive techniques for identifying and extracting features in function fields. Function fields map points in n-dimensional Euclidean space to 1-dimensional scalar functions. Visual feature identification is accomplished by interactively rendering scalar distance fields, constructed by applying a function-space distance metric over the function field. Combining visual exploration with feature extraction queries, formulated as a set of function-space constraints, facilitates quantitative analysis and annotation. Numerous application domains give rise to function fields. We present results for two-dimensional hyperspectral images, and a simulated time-varying, three-dimensional air quality dataset. © The Eurographics Association 2007.

关键词： Air quality

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A Geometric Representation of Protein Sequences

A Geometric Representation of Protein Sequences

引用

IEEE International Conference on Bioinformatics and Biomedicine (BIBM)

作者： Shengyin Gu Olivier Poch Bernd Hamann Patrice Koehl Institute for Data Analysis and Visualization Department of Computer Science University of California Davis CA USA Laboratoire de Biologie Structurale IGBMC Strasbourg France Institute for Data Analysis and Visualization Department of Computer Science University of California Davis CA USA Genome Center University of California Davis CA USA

The amino acid sequence of a protein is the key to understanding its structure and ultimately its function in the cell. This paper addresses the fundamental issue of encoding amino acids in ways that the visualization of protein sequences facilitates the decoding of its information content. We show that a feature-based representation in a three-dimensional (3D) space derived from substitution matrices provides an adequate representation from which the domain content of a protein can be predicted. In addition, we show that each dimension of the feature space can be related to a physical property of the amino acids.

关键词： Amino acids Protein sequence Bioinformatics data visualization USA Councils Genomics Encoding data analysis computer science Biological information theory

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Quality assessment of Affymetrix GeneChip data using the EM algorithm and a naïve Bayes classifier

Quality assessment of Affymetrix GeneChip data using the EM ...

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7th IEEE International Conference on Bioinformatics and Bioengineering, BIBE

作者： Howard, Brian E. Sick, Beate Perera, Imara Yang, Ju Im Winter-Sederoff, Heike Heber, Steffen Bioinformatics Research Center North Carolina State University Raleigh NC United States Institute of Data Analysis and Process Design Zurich University of Applied Science Winterthur Winterthur Switzerland Department of Plant Biology North Carolina State University Raleigh NC United States Department of Computer Science North Carolina State University Raleigh NC United States

ISBN: (纸本)1424415098

Recent research has demonstrated the utility of using supervised classification systems for automatic identification of low quality microarray data. However, this approach requires annotation of a large training set by a qualified expert. In this paper we demonstrate the utility of an unsupervised classification technique based on the Expectation-Maximization (EM) algorithm and naïve Bayes classification. On our test set, this system exhibits performance comparable to that of an analogous supervised learner constructed from the same training data. ©2007 IEEE.

关键词： Maximum principle

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Quality Assessment of Affymetrix GeneChip data using the EM Algorithm and a Naive Bayes Classifier

Quality Assessment of Affymetrix GeneChip Data using the EM ...

引用

IEEE Symposium on Bioinformatics and Bioengineering (BIBE)

作者： Brian E. Howard Beate Sick Imara Perera Yang Ju Im Heike Winter-Sederoff Steffen Heber Bioinformatics Research Center North Carolina State University Raleigh NC USA Department of Plant Biology North Carolina State University Raleigh NC USA Institute of Data Analysis and Process Design Zurich University of Applied Science Winterthur Winterthur Switzerland Department of Computer Science North Carolina State University Raleigh NC USA

Recent research has demonstrated the utility of using supervised classification systems for automatic identification of low quality microarray data. However, this approach requires annotation of a large training set by a qualified expert. In this paper we demonstrate the utility of an unsupervised classification technique based on the Expectation-Maximization (EM) algorithm and naive Bayes classification. On our test set, this system exhibits performance comparable to that of an analogous supervised learner constructed from the same training data.

关键词： Quality assessment Quality control data analysis Training data Testing Bioinformatics Algorithm design and analysis Context modeling Plants (biology) Systems biology

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A foveal inset for large display environments

A foveal inset for large display environments

引用

ACM International Conference on Virtual Reality Continuum and its Applications, VRCIA 2006

作者： Staadt, Oliver G. Ahlborn, Benjamin A. Kreylos, Oliver Hamann, Bernd Institute for Data Analysis and Visualization Department of Computer Science University of California Davis United States

ISBN: (纸本)1595933247

We introduce a system that adds a foveal inset to large-scale projection displays. The effective resolution of the foveal inset projection is higher than the original display resolution, allowing the user to see more details and finer features in large data sets. The foveal inset is generated by projecting a high-resolution image onto a mirror mounted on a pan - tilt unit that is controlled by the user with a laser pointer. Our implementation is based on Chromium and supports many OpenGL applications without modifications. We present experimental results using high-resolution image data from medical imaging and areal photography. © 2006 ACM.

关键词： Calibration

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Clifford Pattern Matching for Color Image Edge Detection 1

Clifford Pattern Matching for Color Image Edge Detection

引用

1st Workshop of the DFG's International Research Training Group "visualization of Large and Unstructured data Sets - Applications in Geospatial Planning, Modeling, and Engineering"

作者： Schlemmer, Michael Hagen, Hans Hotz, Ingrid Hamann, Bernd TU Kaiserslautern Computer Science Department KaiserslauternD-67653 Germany University of California Davis Institute for Data Analysis and Visualization DavisCA95616 United States

ISBN: (纸本)9783885794387

Feature detection and pattern matching play an important role in visualization. Originally developed for images and scalar fields, pattern matching methods become increasingly interesting for other applications, e.g., vector fields. To apply pattern matching to vector fields the basic concepts of convolution and fast Fourier transform (FFT) have to be generalized to vector fields. A formalism supporting an elegant generalization of these concepts is provided by the Clifford Algebra, originally developed for describing geometry and geometric operations. We discuss an application of the Clifford Pattern Matching (CPM). We apply CPM to images for "Clifford Color Edge Detection"(C2ED), an approach for detecting edges and other features in color images. The basic idea is to treat color value tripels as vectors and apply the pattern matching algorithm to the resulting vector field. We introduce vector-valued filters for edge detection and present results. © 2006 Gesellschaft für Informatik, Bonn.

关键词： Pattern matching

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A Foveal Inset for Large Display Environments

A Foveal Inset for Large Display Environments

引用

IEEE Annual International Symposium Virtual Reality

作者： B.A. Ahlborn O. Kreylos B. Hamann O. Staadt Department of Computer Science Institute for Data Analysis and Visualization University of California USA

We introduce a system that adds a foveal inset to large-scale projection displays. The effective resolution of the foveal inset projection is higher than the original display resolution, allowing the user to see more details and finer features in large data sets. The foveal inset is generated by projecting a high-resolution image onto a mirror mounted on a pan-tilt unit (PTU) that is controlled by the user with a laser pointer. Our implementation is based on Chromium and supports many OpenGL applications without modifications.

关键词： computer displays Tiles Mirrors Calibration Cameras Chromium Hardware Graphical user interfaces Costs Linux

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