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Author: Jason Kraftcheck
Publisher:
ISBN:
Category :
Languages : en
Pages : 134
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Book Description
Author: Fred Van Oystaeyen
Publisher: CRC Press
ISBN: 1420060570
Category : Mathematics
Languages : en
Pages : 170
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Book Description
Intrinsically noncommutative spaces today are considered from the perspective of several branches of modern physics, including quantum gravity, string theory, and statistical physics. From this point of view, it is ideal to devise a concept of space and its geometry that is fundamentally noncommutative. Providing a clear introduction to noncommutat
Author: Jason Kraftcheck
Publisher:
ISBN:
Category :
Languages : en
Pages : 134
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Book Description
Author: John W. Morgan
Publisher: American Mathematical Soc.
ISBN: 1470450143
Category : Mathematics
Languages : en
Pages : 317
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Book Description
The method of using the moduli space of pseudo-holomorphic curves on a symplectic manifold was introduced by Mikhail Gromov in 1985. From the appearance of Gromov's original paper until today this approach has been the most important tool in global symplectic geometry. To produce numerical invariants of these manifolds using this method requires constructing a fundamental cycle associated with moduli spaces. This volume brings together three approaches to constructing the “virtual” fundamental cycle for the moduli space of pseudo-holomorphic curves. All approaches are based on the idea of local Kuranishi charts for the moduli space. Workers in the field will get a comprehensive understanding of the details of these constructions and the assumptions under which they can be made. These techniques and results will be essential in further applications of this approach to producing invariants of symplectic manifolds.
Author: Wolfgang Straßer
Publisher: Springer Science & Business Media
ISBN: 3642606075
Category : Computers
Languages : en
Pages : 441
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Book Description
The Blaubeuren Conference "Theory and Practice of Geometric Modeling" has become a meeting place for leading experts from industrial and academic research institutions, CAD system developers and experienced users to exchange new ideas and to discuss new concepts and future directions in geometric modeling. The relaxed and calm atmosphere of the Heinrich-Fabri-Institute in Blaubeuren provides the appropriate environment for profound and engaged discussions that are not equally possible on other occasions. Real problems from current industrial projects as well as theoretical issues are addressed on a high scientific level. This book is the result of the lectures and discussions during the conference which took place from October 14th to 18th, 1996. The contents is structured in 4 parts: Mathematical Tools Representations Systems Automated Assembly. The editors express their sincere appreciation to the contributing authors, and to the members of the program committee for their cooperation, the careful reviewing and their active participation that made the conference and this book a success.
Author: Tobias Schwandt
Publisher: Springer Nature
ISBN: 3658351926
Category : Computers
Languages : en
Pages : 141
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Book Description
Visualizations of virtual objects in the real environment is often done by a simplified representation with simple surfaces and without reference to the surrounding environment. The seamless fusion of the virtual and real environment is, however, an essential factor in many areas, which is of particular importance when calculating lighting in mixed realities on mobile devices. Current approaches focus on approximations, which allow the calculation of diffuse lighting, whereby the rendering of glossy reflection properties is often neglected. The aim of this book is to enable the visualization of mirror-like reflective surfaces in mixed reality. In order to achieve this goal, various approaches are explored enabling high-quality visualization of virtual objects in realtime with a focus on the use of common hardware such as cameras, sensors in mobile devices, and partially depth sensors. Complete ambient lighting can be estimated, which enables detailed reflections. The results provide a novel way to embed complex and simple geometric shapes with glossy surfaces in the real world which offers a higher level of detail in the reflections without using additional hardware.
Author: Richard Rusczyk
Publisher: Aops Incorporated
ISBN: 9781934124086
Category : Juvenile Nonfiction
Languages : en
Pages : 557
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Book Description
Author: Erik Malcolm Champion
Publisher: Ubiquity Press
ISBN: 1914481011
Category : Social Science
Languages : en
Pages : 153
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Book Description
Virtual heritage has been explained as virtual reality applied to cultural heritage, but this definition only scratches the surface of the fascinating applications, tools and challenges of this fast-changing interdisciplinary field. This book provides an accessible but concise edited coverage of the main topics, tools and issues in virtual heritage. Leading international scholars have provided chapters to explain current issues in accuracy and precision; challenges in adopting advanced animation techniques; shows how archaeological learning can be developed in Minecraft; they propose mixed reality is conceptual rather than just technical; they explore how useful Linked Open Data can be for art history; explain how accessible photogrammetry can be but also ethical and practical issues for applying at scale; provide insight into how to provide interaction in museums involving the wider public; and describe issues in evaluating virtual heritage projects not often addressed even in scholarly papers. The book will be of particular interest to students and scholars in museum studies, digital archaeology, heritage studies, architectural history and modelling, virtual environments.
Author: Helmut Hofer
Publisher: Springer Nature
ISBN: 3030780074
Category : Mathematics
Languages : en
Pages : 1001
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Book Description
This book pioneers a nonlinear Fredholm theory in a general class of spaces called polyfolds. The theory generalizes certain aspects of nonlinear analysis and differential geometry, and combines them with a pinch of category theory to incorporate local symmetries. On the differential geometrical side, the book introduces a large class of `smooth’ spaces and bundles which can have locally varying dimensions (finite or infinite-dimensional). These bundles come with an important class of sections, which display properties reminiscent of classical nonlinear Fredholm theory and allow for implicit function theorems. Within this nonlinear analysis framework, a versatile transversality and perturbation theory is developed to also cover equivariant settings. The theory presented in this book was initiated by the authors between 2007-2010, motivated by nonlinear moduli problems in symplectic geometry. Such problems are usually described locally as nonlinear elliptic systems, and they have to be studied up to a notion of isomorphism. This introduces symmetries, since such a system can be isomorphic to itself in different ways. Bubbling-off phenomena are common and have to be completely understood to produce algebraic invariants. This requires a transversality theory for bubbling-off phenomena in the presence of symmetries. Very often, even in concrete applications, geometric perturbations are not general enough to achieve transversality, and abstract perturbations have to be considered. The theory is already being successfully applied to its intended applications in symplectic geometry, and should find applications to many other areas where partial differential equations, geometry and functional analysis meet. Written by its originators, Polyfold and Fredholm Theory is an authoritative and comprehensive treatise of polyfold theory. It will prove invaluable for researchers studying nonlinear elliptic problems arising in geometric contexts.
Author: Dirk Schröder
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832530312
Category : Computers
Languages : en
Pages : 227
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Book Description
Analogous to visualization, the auralization of virtual environments describes the simulation of sound propagation inside enclosures where methods of Geometrical Acoustics are mostly applied for a high-quality synthesis of aural stimuli that go along with a certain realistic behavior. In the course of this thesis, the design and implementation of the real-time room acoustics simulation software RAVEN will be described, which is a vital part of the implemented 3D sound-rendering system of RWTH Aachen University's immersive Virtual Reality system. RAVEN relies on present-day knowledge of room acoustical simulation techniques and enables a physically accurate auralization of sound propagation in complex environments including important wave effects such as sound scattering, airborne sound insulation between rooms and sound diffraction. Despite this realistic sound field rendering, not only spatially distributed and freely movable sound sources and receivers are supported at runtime but also modifications and manipulations of the environment itself. All major features are evaluated by investigating both the overall accuracy of the room acoustics simulation and the performance of implemented algorithms, and possibilities for further simulation optimizations are identified by assessing empirical studies of subjects operating in immersive environments
Author: Stephanie Lackey
Publisher: Springer
ISBN: 3319399071
Category : Computers
Languages : en
Pages : 752
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Book Description
This volume constitutes the refereed proceedings of the 8th International Conference on HCI in Virtual, Augmented and Mixed Reality, VAMR 2016, held as part of the 18th International Conference on Human-Computer Interaction, HCII 2016, which took place in Toronto, Canada, in July 2016. HCII 2016 received a total of 4354 submissions, of which 1287 papers were accepted for publication after a careful reviewing process. The 70 papers presented in this volume are organized in topical sections named: Usability, User Experience and Design in VAMR, Perception, Cognition, Psychology and Behaviour in VAMR, Multimodal Interaction in VAMR, Novel Devices and Technologies in VAMR, VAMR Applications in Aviation, Space and the Military, Medicine, Health and Well-Being Applications of VAMR, VAMR in Industry, Design and Engineering, Novel Virtual Environments.
