Level Set Methods and Dynamic Implicit Surfaces

This new edition of Professor Sethian's successful text provides an introduction to level set methods and fast marching methods, which are powerful numerical techniques for analyzing and computing interface motion in a host of settings. They rely on a fundamental shift in how one views moving boundaries; rethinking the natural geometric Lagrangian perspective and exchanging it for an Eulerian, initial value partial differential equation perspective. For this edition, the collection of applications provided in the text has been expanded, including examples from physics, chemistry, fluid mechanics, combustion, image processing, material science, fabrication of microelectronic components, computer vision, computer-aided design, and optimal control theory. This book will be a useful resource for mathematicians, applied scientists, practising engineers, computer graphic artists, and anyone interested in the evolution of boundaries and interfaces.

Here is, for the first time, a book that clearly explains and applies new level set methods to problems and applications in computer vision, graphics, and imaging. It is an essential compilation of su

This book takes readers on a tour through modern methods in image analysis and reconstruction based on level set and PDE techniques, the major focus being on morphological and geometric structures in

How can a scalable and efficient quality management mechanism for cloud labor services be designed in a way that it delivers results with a well-defined level of quality to the requester?Cloud labor s

This 2006 book presents a systematic introduction to the theory of parametric stability of structures under both deterministic and stochastic loadings. A comprehensive range of theories are presented and various application problems are formulated and solved, often using more than one approach. Investigation of an elastic system's dynamic stability frequently leads to the study of dynamic behaviour of the solutions of parametrically excited systems. Parametric instability or resonance is more dangerous than ordinary resonance as it is characterised by exponential growth of the response amplitudes even in the presence of damping. The emphasis in this book is on the applications and various analytical and numerical methods for solving engineering problems. The materials presented are as self-contained as possible, with all of the important steps of analysis provided in order to make the book suitable as a graduate-level textbook and especially for self-study.

Take your self-study English language learning a step further with the third book in the easy-to-use, visual learning series.English for Everyone Level 3 Intermediate Course Book introduces topics such as telling a story, describing new experiences, relationships, and problem solving. The step-by-step teaching methods are clear and engaging, making the English language easy to learn by yourself. Key language skills, grammar rules, and vocabulary are explained alongside colorful illustrations to help you put new language into context. Listening, speaking, reading, and writing exercises are set in bite-sized modules, allowing you to learn at your own pace.Free audio is available online to support your language learning, featuring native English speakers. The audio examples help you to build experience of spoken English and give you the chance to perfect your pronunciation.English for Everyone is aligned to the CEFR, the international standard for language learning, and ideal for preparat

The Dynamic Energy Budget theory unifies the commonalities between organisms, as prescribed by the implications of energetics, and links different levels of biological organisation (cells, organisms and populations). The theory presents simple mechanistic rules that describe the uptake and use of energy and nutrients and the consequences for physiological organisation throughout an organism's life cycle, including the energetics of ageing and contact with toxic compounds. This new edition includes a new chapter on evolutionary aspects, and discusses methods to quantify entropy for living individuals, isotope dynamics, a mechanism behind reserve dynamics, and toxicity of complex mixtures of compounds. An updated ageing module now also applies to demand systems, new methods for parameter estimation, adaptation of substrate uptake, the use of otiliths for reconstruction of food level trajectories, the differentiated growth of body parts (such as tumours and organs) linked to their functio

Henry Frederick Baker (1866–1956) was a renowned British mathematician specialising in algebraic geometry. He was elected a Fellow of the Royal Society in 1898 and appointed the Lowndean Professor of Astronomy and Geometry in the University of Cambridge in 1914. First published between 1922 and 1925, the six-volume Principles of Geometry was a synthesis of Baker's lecture series on geometry and was the first British work on geometry to use axiomatic methods without the use of co-ordinates. The first four volumes describe the projective geometry of space of between two and five dimensions, with the last two volumes reflecting Baker's later research interests in the birational theory of surfaces. The work as a whole provides a detailed insight into the geometry which was developing at the time of publication.

Applied Methods for Trade Policy Analysis provides a comprehensive introduction to the applied economic modeling of trade policies. The book introduces the reader to trade policy concepts, welfare measurement, accounting frameworks, and both partial and general equilibrium modeling approaches. It first covers these topics at a basic level and then introduces the reader to a number of more advanced topics: imperfect competition, dynamic modeling, labour market structure, and environmental modeling. Economic graduate students, professors, and policy makers will find the collection to be an important reference tool.

This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book begins with a tour of the basics of set theory, culminating in a proof of Zorn's Lemma and a discussion of some of its applications. The author then develops the notions of transfinite induction and descriptive set theory, with applications to the theory of real functions. The final part of the book presents the tools of 'modern' set theory: Martin's Axiom, the Diamond Principle, and elements of forcing. Written primarily as a text for beginning graduate or advanced level undergraduate students, this book should also interest researchers wanting to learn more about set theoretical techniques applicable to their fields.

This work presents, in two volumes, a comprehensive and unified treatment of modern theoretical and experimental particle physics at a level accessible to beginning research students. The emphasis throughout is on presenting underlying physical principles in a simple and intuitive way, and the more sophisticated methods demanded by present day research interests are introduced in a very gradual and gentle fashion.

Multilayer networks, in particular multilayer social networks, where users belong to and interact on different networks at the same time, are an active research area in social network analysis, computer science, and physics. These networks have traditionally been studied within these separate research communities, leading to the development of several independent models and methods to deal with the same set of problems. This book unifies and consolidates existing practical and theoretical knowledge on multilayer networks including data collection and analysis, modeling, and mining of multilayer social network systems, the evolution of interconnected social networks, and dynamic processes such as information spreading. A single real dataset is used to illustrate the concepts presented throughout the book, demonstrating both the practical utility and the potential shortcomings of the various methods. Researchers from all areas of network analysis will learn new aspects and future directi

Originally published in 1927, as the first of a two-part set, this informative and systematically organised textbook, primarily aimed at university students, contains a vectorial treatment of geometry, reasoning that by the use of such vector methods, geometry is able to be 'both simplified and condensed'. Chapters I-XI discuss the more elementary parts of the subject, whilst the remainder is devoted to an exploration of the more complex differential invariants for a surface and their applications. Chapter titles include, 'Curves with torsion', 'Geodesics and geodesic parallels' and 'Triply orthogonal systems of surfaces'. Diagrams are included to supplement the text. Providing a detailed overview of the subject and forming a solid foundation for study of multidimensional differential geometry and the tensor calculus, this book will prove an invaluable reference work to scholars of mathematics as well as to anyone with an interest in the history of education.

Understanding mechanisms of gene regulation that are independent of the DNA sequence itself - epigenetics - has the potential to overthrow long-held views on central topics in biology, such as the biology of disease or the evolution of species. High throughput technologies reveal epigenetic mechanisms at a genome-wide level, giving rise to epigenomics as a new discipline with a distinct set of research questions and methods. Leading experts from academia, the biotechnology and pharmaceutical industries explain the role of epigenomics in a wide range of contexts, covering basic chromatin biology, imprinting at a genome-wide level, and epigenomics in disease biology and epidemiology. Details on assays and sequencing technology serve as an up-to-date overview of the available technological tool kit. A reliable guide for newcomers to the field as well as experienced scientists, this is a unique resource for anyone interested in applying the power of twenty-first-century genomics to epigene

This book offers a dynamic theory of law and economics focused on change over time, aimed at avoiding significant systemic risks (like financial crises and climate disruption) and implemented through a systematic analysis of law's economic incentives and how people actually respond to them. This theory offers a new vision of law as fundamentally a macro-level enterprise establishing normative commitments and a framework for numerous private transactions, rather than as an analogue to a market transaction. It explains how neoclassical law and economics sparked decades of deregulation culminating in the 2008 financial collapse. It then shows how economic dynamic theory helps scholars and policymakers make wise choices about how to avoid future catastrophes while keeping open a robust set of economic opportunities, with individual chapters addressing the law and economics of financial regulation, contract, property, intellectual property, antitrust, national security and climate disruptio

What is knowledge and how is it represented? This book focuses on the idea of formalising knowledge as relations, interpreting knowledge represented in databases or logic programs as relational data and discovering new knowledge by identifying hidden and defining new relations. After a brief introduction to representational issues, the author develops a relational language for abstract machine learning problems. He then uses this language to discuss traditional methods such as clustering and decision tree induction, before moving onto two previously underestimated topics that are just coming to the fore: rough set data analysis and inductive logic programming. Its clear and precise presentation is ideal for undergraduate computer science students. The book will also interest those who study artificial intelligence or machine learning at the graduate level. Exercises are provided and each concept is introduced using the same example domain, making it easier to compare the individual pro

It is increasingly common for analysts to seek out the opinions of individuals and organizations using attitudinal scales such as degree of satisfaction or importance attached to an issue. Examples include levels of obesity, seriousness of a health condition, attitudes towards service levels, opinions on products, voting intentions, and the degree of clarity of contracts. Ordered choice models provide a relevant methodology for capturing the sources of influence that explain the choice made amongst a set of ordered alternatives. The methods have evolved to a level of sophistication that can allow for heterogeneity in the threshold parameters, in the explanatory variables (through random parameters), and in the decomposition of the residual variance. This book brings together contributions in ordered choice modeling from a number of disciplines, synthesizing developments over the last fifty years, and suggests useful extensions to account for the wide range of sources of influence on ch

This book, first published in 2000, deals with the micromechanical characterization of polymer materials. Particular attention is given to microhardness as a technique capable of detecting a variety of morphological and textural changes in polymers. A comprehensive introduction to the microhardness of polymers is provided, including descriptions of the various testing methods in materials science and engineering. The book also includes the micromechanical study of glassy polymers and discusses the relevant aspects of microhardness of semicrystalline polymers. The volume also presents selected application examples of the microhardness technique for the characterization of polymeric materials, including the influence of polymer processing, the use in weathering tests, the characterization of modified polymer surfaces, and others. This book will be of use to graduate-level materials science students, as well as research workers in materials science, mechanical engineering and physics dep

Presents the main statistical tools of econometrics, focusing specifically on modern econometric methodology. The authors unify the approach by using a small number of estimation techniques, mainly generalized method of moments (GMM) estimation and kernel smoothing. The choice of GMM is explained by its relevance in structural econometrics and its preeminent position in econometrics overall. Split into four parts, Part I explains general methods. Part II studies statistical models that are best suited for microeconomic data. Part III deals with dynamic models that are designed for macroeconomic and financial applications. In Part IV the authors synthesize a set of problems that are specific to statistical methods in structural econometrics, namely identification and over-identification, simultaneity, and unobservability. Many theoretical examples illustrate the discussion and can be treated as application exercises. Nobel Laureate James A. Heckman offers a foreword to the work.

This book presents, compares, and develops various techniques for estimating market power - the ability to set price profitably above marginal cost - and strategies - the game-theoretic plans used by firms to compete with rivals. The authors start by examining static model approaches to estimating market power. They extend the analysis to dynamic models. Finally, they develop methods to estimate firms' strategies directly and examine how these strategies determine market power. A detailed technical appendix reviews the relevant information-theoretic and other econometric models that are used throughout. Questions and detailed answers for students and researchers are provided in the book for easy use.

This graduate/research level text introduces the theory of multi-electron transitions in atomic, molecular and optical physics, emphasising the emerging topic of dynamic electron correlation. The book begins with an overview of simple binomial probabilities, classical scattering theory, quantum scattering and correlation, followed by the theory of single electron transition probabilities. Multiple electron transition probabilities are then treated in detail. Various approaches to multiple electron transitions are covered including the independent electron approximation, useful statistical methods and perturbation expansions treating correlation in both weak and strong limits. The important topic of the dynamics of electron correlation is a central theme in this book. The text contains a comprehensive summary of data for few and many-electron transitions in atoms and molecules, including transitions on different atomic centres, fast ion-atom and electron-atom interactions, and recent ob

This book reviews one-dimensional reactions, dynamics, diffusion and adsorption. In studies of complex systems in biology, chemistry and physics, understanding can be gained by analytical and numerical analyses of simple models. This book presents review articles at an advanced research level, describing results for one-dimensional models of dynamical processes such as chemical reactions and catalysis, kinetic ising models, phase separation and cluster growth, monolayer and multilayer adsorption with added relaxation, surface and hard-core particle dynamics, diffusional transport, random systems and experimental results. It also covers experimental results for systems ranging from chemical reactions to adsorption and reactions on polymer chains, steps on crystalline surfaces, and DNA. All chapters are written by leading scientists in the field. They present a self-contained review of this subject that will guide a reader from basic concepts, ideas, methods and models to the forefront o

This book provides the fundamental statistical theory of atomic transport in crystalline solids, that is the means by which processes occurring at the atomic level are related to macroscopic transport coefficients and other observable quantities. The cornerstones of the authors' treatment are (i) the physical concepts of lattice defects, (ii) the phenomenological description provided by non-equilibrium thermodynamics and (iii) the various methods of statistical mechanics used to link these (kinetic theory, random-walk theory, linear response theory etc.). The book is primarily concerned with transport in the body of crystal lattices and not with transport on surfaces, within grain boundaries or along dislocations, although much of the theory here presented can be applied to these low-dimensional structures when they are atomically well ordered and regular.

Pictures, painted and carved in caves and on open rock surfaces, are amongst our loveliest relics from prehistory. This pioneering set of sparkling essays goes beyond guesses as to what the pictures mean, instead exploring how we can reliably learn from rock-art as a material record of distant times: in short, rock-art as archaeology. Sometimes contact-period records offer some direct insight about indigenous meaning, so we can learn in that informed way. More often, we have no direct record, and instead have to use formal methods to learn from the evidence of the pictures themselves. The book's eighteen papers range wide in space and time, from the Palaeolithic of Europe to nineteenth-century Australia. Using varied approaches within the consistent framework of informed and proven methods, they make key advances in using the striking and reticent evidence of rock-art to archaeological benefit.

Dessins d'Enfants are combinatorial objects, namely drawings with vertices and edges on topological surfaces. Their interest lies in their relation with the set of algebraic curves defined over the closure of the rationals, and the corresponding action of the absolute Galois group on them. The study of this group via such realted combinatorial methods as its action on the Dessins and on certain fundamental groups of moduli spaces was initiated by Alexander Grothendieck in his unpublished Esquisse d'un Programme, and developed by many of the mathematicians who have contributed to this volume. The various articles here unite all of the basics of the subject as well as the most recent advances. Researchers in number theory, algebraic geometry or related areas of group theory will find much of interest in this book.