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Production Rendering : Design and Implementation
A Rendering framework for managing a micro polygon-oriented graphics pipeline. Problems presented by different types of geometry showing how different surface types can be made ready for shading : Shading and how it fits into a rendering pipeline / How to write a good shader compiler / Ray tracing in a production renderer / Incorporating global illumination into a renderer / Gathering surface samples into a final image / Tips and tricks in rendering
Proceedings of the 5th International Conference on Numerical Modelling in Engineering ; Vol.1 : Numerical Modelling in Civil Engineering, NME 2022, 23-24 August, Ghent University, Belgium
Covers numerical simulations with industrial civil engineering applications such as bridges and dams, cyclic loading, fluid dynamics, structural mechanics, geotechnical engineering, thermal analysis, reinforced concrete structures, steel structures, and composite structures.
Proceedings of the 17th international meshing roundtable
This volume contains the articles presented at the 17th International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and held October 12-15, 2008 in Pittsburgh, PA, USA. Each year the IMR brings together researchers, developers, and application experts, from a variety of disciplines, to present and discuss ideas on mesh generation and related topics. The topics covered by the IMR have applications in numerical analysis, computational geometry, computer graphics, as well as other areas, and the presentations describe novel work ranging from theory to application.
Proceedings of the 16th international meshing roundtable ; 1st ed.
This volume contains the articles presented at the 16th International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and held in Seattle, Washington, U.S.A. in October, 2007. Each year the IMR brings together researchers, developers, and application experts, from a variety of disciplines, to present and discuss ideas on mesh generation and related topics. The topics covered by the IMR have applications in numerical analysis, computational geometry, computer graphics, as well as other areas, and the presentations describe novel work ranging from theory to application.
Proceedings of the 15th international meshing roundtable
This volume contains the articles presented at the 15th International Meshing Roundtable conference organized by Sandia National Laboratories and held in Birmingham, Alabama, U.S.A. in September 2006. brings technical papers that relate analysis and application solutions to mesh generation process, as well as theoretical contributions and novel ideas with potential applications are also included.
Probability and Real Trees : École d'Été de Probabilités de Saint-Flour XXXV - 2005
Random trees and tree-valued stochastic processes are of particular importance in combinatorics, computer science, phylogenetics, and mathematical population genetics. Using the framework of abstract "tree-like" metric spaces (so-called real trees) and ideas from metric geometry such as the Gromov-Hausdorff distance, Evans and his collaborators have recently pioneered an approach to studying the asymptotic behaviour of such objects when the number of vertices goes to infinity. These notes survey the relevant mathematical background and present some selected applications of the theory.
Principles of highway engineering and traffic analysis ; 7th ed.
Provides a comprehensive introduction to the highway-related problems civil engineers encounter every day. Emphasizing practical applications and up-to-date methods, this book prepares students for real-world practice while building the essential knowledge base required of a transportation professional. In-depth coverage of highway engineering and traffic analysis, road vehicle performance, traffic flow and highway capacity, pavement design, travel demand, traffic forecasting, and other essential topics equips students with the understanding they need to analyze and solve the problems facing America’s highway system.
Precision Motion Control : Design and Implementation
Precision Motion Control (second edition) focuses on enabling technologies for precision engineering - issues of direct importance to be addressed in the overall system design and realization: precision instrumentation and measurement, geometrical calibration and compensation, and motion control. It is a compilation of the most important results and publications from a major project that develops a state-of-the-art, high-speed, ultra-precision robotic system.
Positive Polynomials in Control
Positive Polynomials in Control gives a comprehensive overview of existing results in this quickly emerging area. This book collects important contributions from several fields of control, optimization, and mathematics, in order to show different views and approaches of polynomial positivity.
Poisson Structures and Their Normal Forms
Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as phase spaces. They also arise naturally in other mathematical problems, and form a bridge from the "commutative world" to the "noncommutative world". The aim of this book is twofold: On the one hand, it gives a quick, self-contained introduction to Poisson geometry and related subjects, including singular foliations, Lie groupoids and Lie algebroids. On the other hand, it presents a comprehensive treatment of the normal form problem in Poisson geometry. Even when it comes to classical results, the book gives new insights. It contains results obtained over the past 10 years which are not available in other books.
Planar Maps, Random Walks and Circle Packing : École d'Été de Probabilités de Saint-Flour XLVIII - 2018
This book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric networks, the He–Schramm theorem on infinite circle packings, uniform spanning trees of planar maps, local limits of finite planar maps and the almost sure recurrence of simple random walks on these limits
Planar Ising Correlations
Examines in detail the correlations for the two-dimensional Ising model in the infinite volume or thermodynamic limit and the sub- and super-critical continuum scaling limits. Steady progress in recent years has been made in understanding the special mathematical features of certain exactly solvable models in statistical mechanics and quantum field theory, including the scaling limits of the 2-D Ising (lattice) model, and more generally, a class of 2-D quantum fields known as holonomic fields.
Physics of Automatic Target Recognition
Physics of Automatic Target Recognition addresses the fundamental physical bases of sensing, and information extraction in the state-of-the art automatic target recognition field. The issues of modeling of target signatures in various spectral modalities, LADAR, IR, SAR, high resolution radar, acoustic, seismic, visible, hyperspectral, in diverse geometric aspects will be addressed.
Physics of Asymmetric Continuum : Extreme and Fracture Processes : Earthquake Rotation and Soliton Waves
In this book we include relations not only for the displacement velocities but also for a spin motion and basic point deformations as well. We include here the axial point - formation and twist point deformation represented by the string-string and string-membrane motions. A twist vector is defined here as a vector p- pendicular to the string-string plane and representing its magnitude. It - comes an important counterpart to spin and a key to the presented theory. We show in the forthcoming chapters that the twist motion describes the oscillations of shear axes.
Physical Geodesy
"Physical Geodesy" by Heiskanen and Moritz, published in 1967, has for a long time been considered as the standard introduction to its field. The enormous progress since then, however, required a complete reworking. While basic material could be retained other parts required a complete update. This concerns, above all, the adaptation to the fact that the geometry can now be precisely determined by methods such as GPS, and that new satellite methods, combined with terrestrial methods, also make a detailed determination of the earth's gravitational field a possibility and a necessity. Highlights include: emphasis on global integration of geometry and gravity, a simplified approach to Molodensky's theory without integral equations, and a general combination of all geodetic data by least-squares collocation. In the second edition minor mistakes have been corrected.
Physical Geodesy
"Physical Geodesy" by Heiskanen and Moritz, published in 1967, has for a long time been considered as the standard introduction to its field. The enormous progress since then, however, required a complete reworking. While basic material could be retained other parts required a complete update. This concerns, above all, the adaptation to the fact that the geometry can now be precisely determined by methods such as GPS, and that new satellite methods, combined with terrestrial methods, also make a detailed determination of the earth's gravitational field a possibility and a necessity. Highlights include: emphasis on global integration of geometry and gravity, a simplified approach to Molodensky's theory without integral equations, and a general combination of all geodetic data by least-squares collocation.
Perturbation Methods and Semilinear Elliptic Problems on Rn
Discusses several elliptic problems on Rn with two main features: they are variational and perturbative in nature, and standard tools of nonlinear analysis based on compactness arguments cannot be used in general. For these problems, a more specific approach that takes advantage of such a perturbative setting seems to be the most appropriate. The first part of the book is devoted to these abstract tools, which provide a unified frame for several applications, often considered different in nature.Such applications are discussed in the second part, and include semilinear elliptic problems on Rn, bifurcation from the essential spectrum, the prescribed scalar curvature problem, nonlinear Schrödinger equations, and singularly perturbed elliptic problems in domains. These topics are presented in a systematic and unified way.
Perceiving Geometry : Geometrical Illusions Explained by Natural Scene Statistics
Understanding vision, whether from a neurobiological, psychological or philosophical perspective, represents a daunting challenge that has been pursued for millennia. During at least the last few centuries, natural philosophers, and more recently vision scientists, have recognized that a fundamental problem in biological vision is that the physical sources underlying sensory stimuli are unknowable in any direct sense. In vision, because physical qualities are conflated when the 3-D world is projected onto the 2-D image plane of the retina, the provenance of light reaching the eye at any moment is inevitably uncertain. This quandary is referred to as the inverse optics problem. The relationship of the real world and the information conveyed to the brain by light present a profound problem. Successful behavior in a complex and potentially hostile environment clearly depends on responding appropriately to the sources of visual stimuli rather than to the physical characteristics of the stimuli as such. If the retinal images generated by light cannot specify the underlying reality an observer must deal with, how then does the visual system produce behavior that is generally successful? Perceiving Geometry considers the evidence that, with respect to the perception of geometry, the human visual system solves this problem by incorporating past human experience of what retinal images have typically corresponded to in the real world.
Pedestrian and Evacuation Dynamics 2005
Due to an increasing number of reported catastrophes all over the world, the safety especially of pedestrians today, is a dramatically growing field of interest, both for practitioners as well as scientists from various disciplines. The questions arising mainly address the dynamics of evacuating people and possible optimisations of the process by changing the architecture and /or the procedure. This concerns not only the case of ships, stadiums or buildings, all with restricted geometries, but also the evacuation of complete geographical regions due to natural disasters. Furthermore, also ‘simple’ crowd motion in ‘relaxed’ situations poses new questions with respect to higher comfort and efficiency since the number of involved persons at large events is as high as never before.
Patterns of Change : Linguistic Innovations in the Development of Classical Mathematics
Offers a reconstruction of linguistic innovations in the history of mathematics; innovations which changed the ways in which mathematics was done, understood and philosophically interpreted. It argues that there are at least three ways in which the language of mathematics has been changed throughout its history, thus determining the lines of development that mathematics has followed. One of these patterns of change, called a re-coding, generates two developmental lines. The first of them connecting arithmetic, algebra, differential and integral calculus and predicate calculus led to a gradual increase of the power of our calculating tools, turning difficult problems of the past into easy exercises. The second developmental line connecting synthetic geometry, analytic geometry, fractal geometry, and set theory led to a sophistication of the ways we construct geometrical objects, altering our perception of form and increasing our sensitivity to complex visual patterns.
