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Architectural Geometry is the first book to introduce a revolutionary new approach to design. Geometry lies at the core of the architectural design process. It is omnipresent, from the initial form-finding stages to the actual construction. Modern constructive geometry provides a variety of tools for the efficient design, analysis, and manufacture of complex shapes. This results in new challenges for architecture. However, the architectural application also poses new problems to geometry. Architectural geometry is therefore an entire research area, currently emerging at the border between applied geometry and architecture. Written for students, architects, construction engineers, and industrial designers – Architectural Geometry is a source of inspiration for scientists interested in applications of geometry processing in architecture and art. With over 700 pages, including 2,100 full-color images of built architecture, architectural projects, and artwork, Architectural Geometry takes readers from basic to advanced geometry then leads them to the cutting-edge of research in the architectural geometry field.
From the reviews: " A unique and fascinating blend, which is shown to be useful for a variety of applications, including robotics, geometrical optics, computer animation, and geometric design. The contents of the book are visualized by a wealth of carefully chosen illustrations, making the book a shear pleasure to read, or even to just browse in." Mathematical Reviews
Discrete Differential Geometry (DDG) is an emerging discipline at the boundary between mathematics and computer science. It aims to translate concepts from classical differential geometry into a language that is purely finite and discrete, and can hence be used by algorithms to reason about geometric data. In contrast to standard numerical approximation, the central philosophy of DDG is to faithfully and exactly preserve key invariants of geometric objects at the discrete level. This process of translation from smooth to discrete helps to both illuminate the fundamental meaning behind geometric ideas and provide useful algorithmic guarantees. This volume is based on lectures delivered at the 2018 AMS Short Course ``Discrete Differential Geometry,'' held January 8-9, 2018, in San Diego, California. The papers in this volume illustrate the principles of DDG via several recent topics: discrete nets, discrete differential operators, discrete mappings, discrete conformal geometry, and discrete optimal transport.
No detailed description available for "Advances in Architectural Geometry 2010".
Pattern-making is ubiquitous in both the natural and manmade world. The human propensity for pattern recognition and fabrication is innate. Encompassing the historical, vernacular and parametric, this title explores the creation, materialisation and theorisation of some of the world's most significant and spectacularly patterned spaces. It investigates how interiors, buildings, cities and landscapes are patterned through design, production and manufacturing, use, time, accident and perception. It also brings into focus how contemporary advanced spatial practices and CAD/CAM are now pushing patterns to encompass a greater range of structural, programmatic, aesthetic and material effects and properties. Extending patterns far beyond the surface notion of style and decoration, Patterns of Architecture assesses how and why the deployment of patterns is shaping the future of architecture. Analysed through a multidisciplinary and international series of essays and designs from architects, engineers, academics, researchers and expert professionals in the field. Key contributors include: Hanif Kara, Patrik Schumacher and Alejandro Zaera-Polo.
This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering. This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposure to this subject.
The Faculty of Mathematics and Geoinformation of the TU Wien has existed as such since the division of the early, very large Faculty of Technical Sciences in 2004. It provides its own study programmes in both subjects, as well as ensuring the mathematical and geometrical basic education of the students of all seven other faculties. The faculty also conducts research in broad and highly crucial focal areas. The current volume is part of a comprehensive commemorative series published in 2015 for the bicentennial memorial of the TU Wien providing information on the research activities, teaching tasks, and history of the Faculty of Mathematics and Geoinformation, in particular over the last 50 years. Special attention has been paid to the exceptional scientific achievements of faculty members.
Design modelling has benefited from computation but in most projects to date there is still a strong division between computational design and simulation leading up to construction and the completed building that is cut off from the computational design modelling. The Design Modelling Symposium Berlin 2013 would like to challenge the participants to reflect on the possibility of computational systems that bridge design phase and occupancy of buildings. This rethinking of the designed artifact beyond its physical has had profound effects on other industries already. How does it affect architecture and engineering? At the scale of engineering and building systems new perspectives may open up by engaging built form as a continuous prototype, which can track and respond during use and serve as a real world implementation of its design model. This has been tried many times from intelligent façades to smart homes and networked grids but much of it was only technology driven and not approached from a more holistic design perspective.
This volume consists of 24 refereed carefully edited papers on various topics in multivariate approximation. It represents the proceedings of a workshop organized by the University of Firenze, and held in September 1995 in Montecatini, Italy.The main themes of the volume are multiresolution analysis and wavelets, multidimensional interpolation and smoothing, and computer-aided geometric design. A number of particular topics are included, like subdivision algorithms, constrained approximation and shape-preserving algorithms, thin plate splines, radial basis functions, treatment of scattered data, rational surfaces and offsets, blossoming, grid generation, surface reconstruction, algebraic curves and surfaces, and neural networks.
This volume documents the results and presentations, related to aspects of geometric design, of the Second International Conference on Curves and Surfaces, held in Chamonix in 1993. The papers represent directions for future research and development in many areas of application. From the table of contents: - Object Oriented Spline Software - An Int