Colored Discrete Spaces

Colored Discrete Spaces
Author: Luca Lionni
Publisher: Springer
Total Pages: 233
Release: 2018-08-01
Genre: Science
ISBN: 3319960237

This book provides a number of combinatorial tools that allow a systematic study of very general discrete spaces involved in the context of discrete quantum gravity. In any dimension D, we can discretize Euclidean gravity in the absence of matter over random discrete spaces obtained by gluing families of polytopes together in all possible ways. These spaces are then classified according to their curvature. In D=2, it results in a theory of random discrete spheres, which converge in the continuum limit towards the Brownian sphere, a random fractal space interpreted as a quantum random space-time. In this limit, the continuous Liouville theory of D=2 quantum gravity is recovered. Previous results in higher dimension regarded triangulations, converging towards a continuum random tree, or gluings of simple building blocks of small sizes, for which multi-trace matrix model results are recovered in any even dimension. In this book, the author develops a bijection with stacked two-dimensional discrete surfaces for the most general colored building blocks, and details how it can be used to classify colored discrete spaces according to their curvature. The way in which this combinatorial problem arrises in discrete quantum gravity and random tensor models is discussed in detail.

The Structure and Properties of Color Spaces and the Representation of Color Images

The Structure and Properties of Color Spaces and the Representation of Color Images
Author: Eric Dubois
Publisher: Springer Nature
Total Pages: 111
Release: 2022-05-31
Genre: Technology & Engineering
ISBN: 3031022467

This lecture describes the author's approach to the representation of color spaces and their use for color image processing. The lecture starts with a precise formulation of the space of physical stimuli (light). The model includes both continuous spectra and monochromatic spectra in the form of Dirac deltas. The spectral densities are considered to be functions of a continuous wavelength variable. This leads into the formulation of color space as a three-dimensional vector space, with all the associated structure. The approach is to start with the axioms of color matching for normal human viewers, often called Grassmann's laws, and developing the resulting vector space formulation. However, once the essential defining element of this vector space is identified, it can be extended to other color spaces, perhaps for different creatures and devices, and dimensions other than three. The CIE spaces are presented as main examples of color spaces. Many properties of the color space are examined. Once the vector space formulation is established, various useful decompositions of the space can be established. The first such decomposition is based on luminance, a measure of the relative brightness of a color. This leads to a direct-sum decomposition of color space where a two-dimensional subspace identifies the chromatic attribute, and a third coordinate provides the luminance. A different decomposition involving a projective space of chromaticity classes is then presented. Finally, it is shown how the three types of color deficiencies present in some groups of humans leads to a direct-sum decomposition of three one-dimensional subspaces that are associated with the three types of cone photoreceptors in the human retina. Next, a few specific linear and nonlinear color representations are presented. The color spaces of two digital cameras are also described. Then the issue of transformations between different color spaces is addressed. Finally, these ideas are applied to signal and system theory for color images. This is done using a vector signal approach where a general linear system is represented by a three-by-three system matrix. The formulation is applied to both continuous and discrete space images, and specific problems in color filter array sampling and displays are presented for illustration. The book is mainly targeted to researchers and graduate students in fields of signal processing related to any aspect of color imaging.

R Graphics Cookbook

R Graphics Cookbook
Author: Winston Chang
Publisher: "O'Reilly Media, Inc."
Total Pages: 414
Release: 2013
Genre: Computers
ISBN: 1449316956

"Practical recipes for visualizing data"--Cover.

Proceedings of the International Workshop on Computational Intelligence in Security for Information Systems CISIS 2008

Proceedings of the International Workshop on Computational Intelligence in Security for Information Systems CISIS 2008
Author: Emilio Corchado
Publisher: Springer Science & Business Media
Total Pages: 331
Release: 2008-10-24
Genre: Computers
ISBN: 3540881816

The research scenario in advanced systems for protecting critical infrastructures and for deeply networked information tools highlights a growing link between security issues and the need for intelligent processing abilities in the area of information s- tems. To face the ever-evolving nature of cyber-threats, monitoring systems must have adaptive capabilities for continuous adjustment and timely, effective response to modifications in the environment. Moreover, the risks of improper access pose the need for advanced identification methods, including protocols to enforce comput- security policies and biometry-related technologies for physical authentication. C- putational Intelligence methods offer a wide variety of approaches that can be fruitful in those areas, and can play a crucial role in the adaptive process by their ability to learn empirically and adapt a system’s behaviour accordingly. The International Workshop on Computational Intelligence for Security in Inf- mation Systems (CISIS) proposes a meeting ground to the various communities - volved in building intelligent systems for security, namely: information security, data mining, adaptive learning methods and soft computing among others. The main goal is to allow experts and researchers to assess the benefits of learning methods in the data-mining area for information-security applications. The Workshop offers the opportunity to interact with the leading industries actively involved in the critical area of security, and have a picture of the current solutions adopted in practical domains. This volume of Advances in Soft Computing contains accepted papers presented at CISIS’08, which was held in Genova, Italy, on October 23rd–24th, 2008.

The Mathematical Coloring Book

The Mathematical Coloring Book
Author: Alexander Soifer
Publisher: Springer Science & Business Media
Total Pages: 619
Release: 2008-10-13
Genre: Mathematics
ISBN: 0387746420

This book provides an exciting history of the discovery of Ramsey Theory, and contains new research along with rare photographs of the mathematicians who developed this theory, including Paul Erdös, B.L. van der Waerden, and Henry Baudet.

Everyday Data Visualization

Everyday Data Visualization
Author: Desiree Abbott
Publisher: Simon and Schuster
Total Pages: 262
Release: 2024-05-21
Genre: Computers
ISBN: 1633438406

Radically improve the quality of the data visualizations you do every day by mastering core principles of color, typography, chart types, data storytelling, and more! In Everyday Data Visualization you’ll learn important design principles for the most common data visualizations: Harness the power of perception to guide a user’s attention Effectively use color and other design fundamentals to bring data to life Choose the best chart type for the data and the story you want to tell Design for interactive visualizations Keep the user’s needs first throughout your projects Everyday Data Visualization is a field guide for design techniques that will improve the charts, reports, and data dashboards you build every day. The foundation of data visualization is storytelling, and this book gives you the tools you need to start telling those stories with clarity, precision, and flair! You’ll learn how human brains perceive and process information, master modern accessibility standards, get the basics of color theory and typography, and more! Purchase of the print book includes a free eBook in PDF and ePub formats from Manning Publications. About the technology Effective data visualization is about clear and thoughtful communication. A data visualizer goes beyond flat numbers to illuminate critical insights. Great data storytelling includes skills like attracting the reader’s attention to the important points, accurately compensating for missing information, and adapting presentations to a live data flow. About the book Everyday Data Visualization gives you skills you’ll use to enhance the most common data visualizations, including charts and tables, data dashboards, and infographics. You’ll learn how to use color, typography, positioning, and choice of charts to catch and keep a viewer’s attention. Discover the finesse and design rigor that goes into building delightful dashboards, and best practices for live visualizations that flex and grow as underlying data changes. Design fundamentals are broken down into their component parts so they’re easy to understand—even if you’re the analytical type! Best of all, everything you learn is tool-agnostic, with universal principles you can apply to any data stack. About the reader For readers experienced with data analysis tools. About the author Desireé Abbott has over a decade of experience in product analytics, business intelligence, science, design, and software engineering.

Consciousness, Time, and Scepticism in Hume’s Thought

Consciousness, Time, and Scepticism in Hume’s Thought
Author: Lorne Falkenstein
Publisher: Taylor & Francis
Total Pages: 329
Release: 2024-04-02
Genre: Philosophy
ISBN: 1040015646

David Hume’s philosophical work presents the reader with a perplexing mix of constructive accounts of empirically guided belief and destructive sceptical arguments against all belief. This book reconciles this conflict by showing that Hume intended his scepticism to be remedial. It immunizes us against the influence of “unphilosophical” causes of belief, determining us to proportion our beliefs to the evidence. In making this case, this book develops Humean positions on topics Hume did not discuss in detail but that are of interest to contemporary philosophers: consciousness and the unity of consciousness, temporal experience, visual spatial perception, the experience of colour and other qualia, objective experience, and spatially extended minds. It also challenges currently accepted interpretations of Hume’s views on the finite divisibility of space and time, vacuum, the duration of unchanging objects, and identity over time. It deals with criticisms of Hume that were raised by his contemporaries, notably by Thomas Reid, draws attention to earlier seventeenth‐ and eighteenth‐century work that has bearing on the interpretation of Hume’s thought, and compares Hume’s achievements with those of later nineteenth‐century psychologists and philosophers. Consciousness, Time, and Scepticism in Hume’s Thought will appeal to scholars and advanced students interested in Hume, history of philosophy, and early modern theories of perception, time, and consciousness.

Multidimensional Signal and Color Image Processing Using Lattices

Multidimensional Signal and Color Image Processing Using Lattices
Author: Eric Dubois
Publisher: John Wiley & Sons
Total Pages: 367
Release: 2019-03-12
Genre: Technology & Engineering
ISBN: 1119111757

An Innovative Approach to Multidimensional Signals and Systems Theory for Image and Video Processing In this volume, Eric Dubois further develops the theory of multi-D signal processing wherein input and output are vector-value signals. With this framework, he introduces the reader to crucial concepts in signal processing such as continuous- and discrete-domain signals and systems, discrete-domain periodic signals, sampling and reconstruction, light and color, random field models, image representation and more. While most treatments use normalized representations for non-rectangular sampling, this approach obscures much of the geometrical and scale information of the signal. In contrast, Dr. Dubois uses actual units of space-time and frequency. Basis-independent representations appear as much as possible, and the basis is introduced where needed to perform calculations or implementations. Thus, lattice theory is developed from the beginning and rectangular sampling is treated as a special case. This is especially significant in the treatment of color and color image processing and for discrete transform representations based on symmetry groups, including fast computational algorithms. Other features include: An entire chapter on lattices, giving the reader a thorough grounding in the use of lattices in signal processing Extensive treatment of lattices as used to describe discrete-domain signals and signal periodicities Chapters on sampling and reconstruction, random field models, symmetry invariant signals and systems and multidimensional Fourier transformation properties Supplemented throughout with MATLAB examples and accompanying downloadable source code Graduate and doctoral students as well as senior undergraduates and professionals working in signal processing or video/image processing and imaging will appreciate this fresh approach to multidimensional signals and systems theory, both as a thorough introduction to the subject and as inspiration for future research.

Visualization in Medicine

Visualization in Medicine
Author: Bernhard Preim
Publisher: Elsevier
Total Pages: 677
Release: 2007-06-21
Genre: Computers
ISBN: 0080549055

Visualization in Medicine is the first book on visualization and its application to problems in medical diagnosis, education, and treatment. The book describes the algorithms, the applications and their validation (how reliable are the results?), and the clinical evaluation of the applications (are the techniques useful?). It discusses visualization techniques from research literature as well as the compromises required to solve practical clinical problems. The book covers image acquisition, image analysis, and interaction techniques designed to explore and analyze the data. The final chapter shows how visualization is used for planning liver surgery, one of the most demanding surgical disciplines. The book is based on several years of the authors' teaching and research experience. Both authors have initiated and lead a variety of interdisciplinary projects involving computer scientists and medical doctors, primarily radiologists and surgeons.* A core field of visualization and graphics missing a dedicated book until now* Written by pioneers in the field and illustrated in full color* Covers theory as well as practice

Computer Vision - ECCV 2004

Computer Vision - ECCV 2004
Author: Tomas Pajdla
Publisher: Springer Science & Business Media
Total Pages: 639
Release: 2004-04-30
Genre: Computers
ISBN: 354021982X

The four-volume set comprising LNCS volumes 3021/3022/3023/3024 constitutes the refereed proceedings of the 8th European Conference on Computer Vision, ECCV 2004, held in Prague, Czech Republic, in May 2004. The 190 revised papers presented were carefully reviewed and selected from a total of 555 papers submitted. The four books span the entire range of current issues in computer vision. The papers are organized in topical sections on tracking; feature-based object detection and recognition; geometry; texture; learning and recognition; information-based image processing; scale space, flow, and restoration; 2D shape detection and recognition; and 3D shape representation and reconstruction.