Restricted Orientation Convexity

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Restricted Orientation Convexity

Author : Eugene Fink
ISBN : 9783642188497
Genre : Computers
File Size : 69.10 MB
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Restricted-orientation convexity is the study of geometric objects whose intersections with lines from some fixed set are connected. This notion generalizes standard convexity and several types of nontraditional convexity. The authors explore the properties of this generalized convexity in multidimensional Euclidean space, and describ restricted-orientation analogs of lines, hyperplanes, flats, halfspaces, and identify major properties of standard convex sets that also hold for restricted-orientation convexity. They then introduce the notion of strong restricted-orientation convexity, which is an alternative generalization of convexity, and show that its properties are also similar to that of standard convexity.
Category: Computers

Computational Geometry Methods Algorithms And Applications

Author : International Workshop on Computational Geometry
ISBN : 3540548912
Genre : Computers
File Size : 55.90 MB
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Radiocarbon After Four Decades: An Interdisciplinary Perspective commemorates the 40th anniversary of radiocarbon dating. The volume presents discussions of every aspect of this dating technique, as well as chronicles of its development and views of future advancements and applications. All of the 64 authors played major roles in establishment, development or application of this revolutionary scientific tool. The 35 chapters provide a solid foundation in the essential topics of radiocarbon dating: Historical Perspectives; The Natural Carbon Cycle; Instrumentation and Sample Preparation; Hydrology; Old World Archaeology; New World Archaeology; Earth Sciences; and Biomedical Applications.
Category: Computers

Computational Morphology

Author : G.T. Toussaint
ISBN : 9781483296722
Genre : Computers
File Size : 66.9 MB
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Computational Geometry is a new discipline of computer science that deals with the design and analysis of algorithms for solving geometric problems. There are many areas of study in different disciplines which, while being of a geometric nature, have as their main component the extraction of a description of the shape or form of the input data. This notion is more imprecise and subjective than pure geometry. Such fields include cluster analysis in statistics, computer vision and pattern recognition, and the measurement of form and form-change in such areas as stereology and developmental biology. This volume is concerned with a new approach to the study of shape and form in these areas. Computational morphology is thus concerned with the treatment of morphology from the computational geometry point of view. This point of view is more formal, elegant, procedure-oriented, and clear than many previous approaches to the problem and often yields algorithms that are easier to program and have lower complexity.
Category: Computers

Data Structures And Efficient Algorithms

Author : Burkhard Monien
ISBN : 3540554882
Genre : Computers
File Size : 74.2 MB
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Myocarditis and idiopathic dilated cardiomyopathy are being increasingly recognized as important causes of heart disease and heart failure. Immunological mechanisms have long been suspected as playing a role in thesediseases but direct evidence has been lacking. Recently, animal models have be- come available, in which myocarditis can be induced either by infection with cardiotropic viruses or by autoimmuniza- tion with heart-specific antigens. This book presents and analyzes the latest information obtained from experimental models, relating it to the practical problems of diagnosis and treatment of myocarditis.
Category: Computers

Vision Geometry

Author :
ISBN : UOM:39015034829203
Genre : Computer vision
File Size : 81.98 MB
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Category: Computer vision

Mathematical Reviews

Author :
ISBN : UOM:39015078588590
Genre : Mathematics
File Size : 83.29 MB
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Category: Mathematics

Advances In Digital And Computational Geometry

Author : Reinhard Klette
ISBN : UCSD:31822026084475
Genre : Computers
File Size : 50.86 MB
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Digital geometry deals with geometric properties of subsets of digital images or, equivalently, with geometric properties of finite sets of lattice points. Digital geometry can anticipate progress in imaging technology allowing higher and higher spatial resolution. It seems that the input data in both fields will "converge" to data embedded in digital arrays of very high spatial resolution.
Category: Computers

Poly Quasi And Rank One Convexity In Applied Mechanics

Author : Jörg Schröder
ISBN : 9783709101742
Genre : Technology & Engineering
File Size : 21.44 MB
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Generalized convexity conditions play a major role in many modern mechanical applications. They serve as the basis for existence proofs and allow for the design of advanced algorithms. Moreover, understanding these convexity conditions helps in deriving reliable mechanical models. The book summarizes the well established as well as the newest results in the field of poly-, quasi and rank-one convexity. Special emphasis is put on the construction of anisotropic polyconvex energy functions with applications to biomechanics and thin shells. In addition, phase transitions with interfacial energy and the relaxation of nematic elastomers are discussed.
Category: Technology & Engineering

Geometry And Convexity

Author : Paul J. Kelly
ISBN : UCAL:B4407066
Genre : Mathematics
File Size : 28.91 MB
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Convex body theory offers important applications in probability and statistics, combinatorial mathematics, and optimization theory. Although this text's setting and central issues are geometric in nature, it stresses the interplay of concepts and methods from topology, analysis, and linear and affine algebra. From motivation to definition, the authors present concrete examples and theorems that identify convex bodies and surfaces and establish their basic properties. The easy-to-read treatment employs simple notation and clear, complete proofs. Introductory chapters establish the basics of metric topology and the structure of Euclidean n-space. Subsequent chapters apply this background to the dimension, basic structure, and general geometry of convex bodies and surfaces. Concluding chapters illustrate nonintuitive results to offer students a perspective on the wide range of problems and applications in convex body theory.
Category: Mathematics