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Author : R. J. Gardner
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (472 download)
Download or read book Geometric Tomography and Local Stereology written by R. J. Gardner and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard J. Gardner
Publisher : Cambridge University Press
ISBN 13 : 0521866804
Total Pages : 7 pages
Book Rating : 4.5/5 (218 download)
Download or read book Geometric Tomography written by Richard J. Gardner and published by Cambridge University Press. This book was released on 2006-06-19 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on planes or cross-sections by planes. It is a geometric relative of computerized tomography, which reconstructs an image from X-rays of a human patient. It overlaps with convex geometry, and employs many tools from that area including integral geometry. It also has connections to geometric probing in robotics and to stereology. The main text contains a rigorous treatment of the subject starting from basic concepts and moving up to the research frontier: seventy-two unsolved problems are stated. Each chapter ends with extensive notes, historical remarks, and some biographies. This comprehensive work will be invaluable to specialists in geometry and tomography; the opening chapters can also be read by advanced undergraduate students.
Author : Aarhus universitet. Center for matematisk fysik og stokastik
Publisher :
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.:/5 (497 download)
Download or read book Stereology and Geometric Tomography written by Aarhus universitet. Center for matematisk fysik og stokastik and published by . This book was released on 2000 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Barndorff-nielsen Ole E
Publisher : World Scientific
ISBN 13 : 9814544191
Total Pages : 216 pages
Book Rating : 4.8/5 (145 download)
Download or read book Geometry In Present Day Science - Proceedings Of The Conference written by Barndorff-nielsen Ole E and published by World Scientific. This book was released on 1999-03-26 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume focusses on the applications of geometry in present day science. It contains contributions from a variety of fields, including biology, computer science, mathematics, medicine, physics and stochastics.
Author : Eva B. Vedel Jensen
Publisher : World Scientific
ISBN 13 : 9789810224547
Total Pages : 272 pages
Book Rating : 4.2/5 (245 download)
Download or read book Local Stereology written by Eva B. Vedel Jensen and published by World Scientific. This book was released on 1998 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified exposition of local-stereological methods developed within the last 15 years. The object of local stereology is to draw inference about quantitative parameters of spatial structures which can be regarded as neighbourhoods of points, called reference points. The model example is a biological cell which can be regarded as a neighbourhood of its nucleus. In local stereology, information from sections through the reference point is used. Only very weak assumptions are needed for the structure under study. For instance, specific cell shape assumptions are not necessary.In order to reach a broader audience, the book has been written not only for specialists in stereology, integral geometry and geometric measure theory. In particular, Chapter 1 is an elementary introduction to stereology and the book contains about 75 illustrations. The theory of local steroelogy involves, however, advanced mathematical tools, which constitute an important part of the book.Local-stereological methods are now in world-wide use in the microscopical study of biological tissue, and this invaluable book also contains a description of how the local methods are used in practice.
Author : Center for Matematisk Fysik og Stokastik
Publisher :
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.:/5 (248 download)
Download or read book Supplementary Notes :Summer School on Stereology and Geometric Tomography written by Center for Matematisk Fysik og Stokastik and published by . This book was released on 2000 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eva B. Vedel Jensen
Publisher : Springer
ISBN 13 : 3319519514
Total Pages : 469 pages
Book Rating : 4.3/5 (195 download)
Download or read book Tensor Valuations and Their Applications in Stochastic Geometry and Imaging written by Eva B. Vedel Jensen and published by Springer. This book was released on 2017-06-10 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications. Starting with classical results concerning scalar-valued valuations on the families of convex bodies and convex polytopes, it proceeds to the modern theory of tensor valuations. Product and Fourier-type transforms are introduced and various integral formulae are derived. New and well-known results are presented, together with generalizations in several directions, including extensions to the non-Euclidean setting and to non-convex sets. A variety of applications of tensor valuations to models in stochastic geometry, to local stereology and to imaging are also discussed.
Author : Csaba D. Toth
Publisher : CRC Press
ISBN 13 : 1420035312
Total Pages : 1557 pages
Book Rating : 4.4/5 (2 download)
Download or read book Handbook of Discrete and Computational Geometry, Second Edition written by Csaba D. Toth and published by CRC Press. This book was released on 2004-04-13 with total page 1557 pages. Available in PDF, EPUB and Kindle. Book excerpt: While high-quality books and journals in this field continue to proliferate, none has yet come close to matching the Handbook of Discrete and Computational Geometry, which in its first edition, quickly became the definitive reference work in its field. But with the rapid growth of the discipline and the many advances made over the past seven years, it's time to bring this standard-setting reference up to date. Editors Jacob E. Goodman and Joseph O'Rourke reassembled their stellar panel of contributors, added manymore, and together thoroughly revised their work to make the most important results and methods, both classic and cutting-edge, accessible in one convenient volume. Now over more then 1500 pages, the Handbook of Discrete and Computational Geometry, Second Edition once again provides unparalleled, authoritative coverage of theory, methods, and applications. Highlights of the Second Edition: Thirteen new chapters: Five on applications and others on collision detection, nearest neighbors in high-dimensional spaces, curve and surface reconstruction, embeddings of finite metric spaces, polygonal linkages, the discrepancy method, and geometric graph theory Thorough revisions of all remaining chapters Extended coverage of computational geometry software, now comprising two chapters: one on the LEDA and CGAL libraries, the other on additional software Two indices: An Index of Defined Terms and an Index of Cited Authors Greatly expanded bibliographies
Author :
Publisher :
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.:/5 (897 download)
Download or read book Summer School on Stereology and Geometric Tomography written by and published by . This book was released on 2000 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aarhus Universitet. Center for Matematisk Fysik og Stokastik
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (461 download)
Download or read book Summer School on Stereology and Geometric Tomography written by Aarhus Universitet. Center for Matematisk Fysik og Stokastik and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luis Manuel Cruz-Orive
Publisher : Springer
ISBN 13 : 9783031524509
Total Pages : 0 pages
Book Rating : 4.5/5 (245 download)
Download or read book Stereology written by Luis Manuel Cruz-Orive and published by Springer. This book was released on 2024-02-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive set of methods for quantifying geometric quantities such as the volume of a tumor, the total surface area of the alveoli in a lung, the length of plant roots, or of blood vessels, the number of neurons in a brain compartment, the connectivity number of trabecular bone, the mean size of grains in a rock, etc.. The methods, illustrated by twenty solved case studies, are based on properly sampled slices, sections, or projections of the material, observable under light, laser, or electron microscopy, or under non-invasive radiological devices such as ecography, computed tomography, or magnetic resonance imaging. Thus, the input usually consists of flat images, and the output consists of relevant quantities defined in three dimensions. Stereology is the discipline of providing sampling designs which warrant unbiased estimation of the corresponding quantities, that is, estimation with zero mean deviation from the target. Sampling is usually systematic (i.e., with regularly spaced probes), and sparse (as opposed to reconstructions) and it is thereby efficient and easy to implement. Stereology is essentially geometric sampling, grounded on integral geometry. The necessary elements of both disciplines are detailed in textbook style, and may be used for postgraduate courses, or to serve the interest of scientists in general. Hitherto no other book on stereology has appeared which encompasses the theory, methodology, and applications of stereology in an interconnected and comprehensive way. The currently available error variance prediction formulae under systematic sampling, and their (non-obvious) derivation, are all gathered, for the first time, in the last chapter. The exposition is augmented by 127 line drawings for the theory, and 27 color pictures of real materials for the case studies.
Author :
Publisher :
ISBN 13 :
Total Pages : 1884 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Valeriy A. Buryachenko
Publisher : Springer Nature
ISBN 13 : 3030817849
Total Pages : 1012 pages
Book Rating : 4.0/5 (38 download)
Download or read book Local and Nonlocal Micromechanics of Heterogeneous Materials written by Valeriy A. Buryachenko and published by Springer Nature. This book was released on 2021-11-16 with total page 1012 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the micromechanics of random structure heterogeneous materials, a multidisciplinary research area that has experienced a revolutionary renascence at the overlap of various branches of materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology. It demonstrates intriguing successes of unified rigorous theoretical methods of applied mathematics and statistical physics in material science of microheterogeneous media. The prediction of the behaviour of heterogeneous materials by the use of properties of constituents and their microstructure is a central problem of micromechanics. This book is the first in micromechanics where a successful effort of systematic and fundamental research of the microstructure of the wide class of heterogeneous materials of natural and synthetic nature is attempted. The uniqueness of the book lies in its development and expressive representation of statistical methods quantitatively describing random structures which are at most adopted for the forthcoming evaluation of a wide variety of macroscopic transport, electromagnetic, strength, and elastoplastic properties of heterogeneous materials.
Author : Marilisa G. Gibellato
Publisher :
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.:/5 (35 download)
Download or read book Geometric Tomography written by Marilisa G. Gibellato and published by . This book was released on 1996 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dorothy Lam
Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.:/5 (37 download)
Download or read book Point-source Geometric Tomography written by Dorothy Lam and published by . This book was released on 1999 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rolf Schneider
Publisher : Cambridge University Press
ISBN 13 : 1107471613
Total Pages : 752 pages
Book Rating : 4.1/5 (74 download)
Download or read book Convex Bodies: The Brunn–Minkowski Theory written by Rolf Schneider and published by Cambridge University Press. This book was released on 2013-10-31 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the heart of this monograph is the Brunn–Minkowski theory, which can be used to great effect in studying such ideas as volume and surface area and their generalizations. In particular, the notions of mixed volume and mixed area measure arise naturally and the fundamental inequalities that are satisfied by mixed volumes are considered here in detail. The author presents a comprehensive introduction to convex bodies, including full proofs for some deeper theorems. The book provides hints and pointers to connections with other fields and an exhaustive reference list. This second edition has been considerably expanded to reflect the rapid developments of the past two decades. It includes new chapters on valuations on convex bodies, on extensions like the Lp Brunn–Minkowski theory, and on affine constructions and inequalities. There are also many supplements and updates to the original chapters, and a substantial expansion of chapter notes and references.
Author : Vitor Balestro
Publisher : Springer Nature
ISBN 13 : 3031505077
Total Pages : 1195 pages
Book Rating : 4.0/5 (315 download)
Download or read book Convexity from the Geometric Point of View written by Vitor Balestro and published by Springer Nature. This book was released on with total page 1195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
