Curve And Surface Reconstruction

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Curve and Surface Reconstruction

Author : Tamal K. Dey
Publisher : Cambridge University Press
ISBN 13 : 1139460684
Total Pages : 229 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Curve and Surface Reconstruction by : Tamal K. Dey

Download or read book Curve and Surface Reconstruction written by Tamal K. Dey and published by Cambridge University Press. This book was released on 2006-10-16 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book, first published in 2007, shows how to compute a digital model from this point sample. After developing the basics of sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples. Voronoi- and Delaunay-based techniques, implicit surface-based methods and Morse theory-based methods are covered. Scientists and engineers working in drug design, medical imaging, CAD, GIS, and many other areas will benefit from this first book on the subject.

Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space

Author : Sung Joon Ahn
Publisher : Springer Science & Business Media
ISBN 13 : 3540239669
Total Pages : 138 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space by : Sung Joon Ahn

Download or read book Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space written by Sung Joon Ahn and published by Springer Science & Business Media. This book was released on 2004-12-07 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the continuing progress of sensor technology, the availability of 3-D cameras is already foreseeable. These cameras are capable of generating a large set of measurement points within a very short time. There are a variety of 3-D camera applications in the fields of robotics, rapid product development and digital factories. In order to not only visualize the point cloud but also to recognize 3-D object models from the point cloud and then further process them in CAD systems, efficient and stable algorithms for 3-D information processing are required. For the automatic segmentation and recognition of such geometric primitives as plane, sphere, cylinder, cone and torus in a 3-D point cloud, efficient software has recently been developed at the Fraunhofer IPA by Sung Joon Ahn. This book describes in detail the complete set of ‘best-?t’ algorithms for general curves and surfaces in space which are employed in the Fraunhofer software.

Visual Motion of Curves and Surfaces

Author : Roberto Cipolla
Publisher : Cambridge University Press
ISBN 13 : 9780521632515
Total Pages : 200 pages
Book Rating : 4.6/5 (325 download)

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Book Synopsis Visual Motion of Curves and Surfaces by : Roberto Cipolla

Download or read book Visual Motion of Curves and Surfaces written by Roberto Cipolla and published by Cambridge University Press. This book was released on 2000 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer vision aims to detect and reconstruct features of surfaces from the images produced by cameras, in some way mimicking the way in which humans reconstruct features of the world around them by using their eyes. In this book the authors describe research in computer vision aimed at recovering the 3D shape of surfaces from image sequences of their 'outlines'. They provide all the necessary background in differential geometry (assuming knowledge of elementary algebra and calculus) and in the analysis of visual motion, emphasising intuitive visual understanding of the geometric techniques with computer-generated illustrations. They also give a thorough introduction to the mathematical techniques and the details of the implementations and apply the methods to data from real images using the most current techniques.

Effective Computational Geometry for Curves and Surfaces

Author : Jean-Daniel Boissonnat
Publisher : Springer Science & Business Media
ISBN 13 : 3540332596
Total Pages : 352 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Effective Computational Geometry for Curves and Surfaces by : Jean-Daniel Boissonnat

Download or read book Effective Computational Geometry for Curves and Surfaces written by Jean-Daniel Boissonnat and published by Springer Science & Business Media. This book was released on 2006-10-24 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Each chapter fully details and provides a tutorial introduction to important concepts and results. The focus is on methods which are both well founded mathematically and efficient in practice. Coverage includes references to open source software and discussion of potential applications of the presented techniques.

Curves and Surfaces

Author : Pierre-Jean Laurent
Publisher : CRC Press
ISBN 13 : 1439863598
Total Pages : 507 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Curves and Surfaces by : Pierre-Jean Laurent

Download or read book Curves and Surfaces written by Pierre-Jean Laurent and published by CRC Press. This book was released on 1994-07-15 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Advances in Multiresolution for Geometric Modelling

Author : Neil Dodgson
Publisher : Springer Science & Business Media
ISBN 13 : 3540268081
Total Pages : 430 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Advances in Multiresolution for Geometric Modelling by : Neil Dodgson

Download or read book Advances in Multiresolution for Geometric Modelling written by Neil Dodgson and published by Springer Science & Business Media. This book was released on 2006-05-24 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiresolution methods in geometric modelling are concerned with the generation, representation, and manipulation of geometric objects at several levels of detail. Applications include fast visualization and rendering as well as coding, compression, and digital transmission of 3D geometric objects. This book marks the culmination of the four-year EU-funded research project, Multiresolution in Geometric Modelling (MINGLE). The book contains seven survey papers, providing a detailed overview of recent advances in the various fields within multiresolution modelling, and sixteen additional research papers. Each of the seven parts of the book starts with a survey paper, followed by the associated research papers in that area. All papers were originally presented at the MINGLE 2003 workshop held at Emmanuel College, Cambridge, UK, 9-11 September 2003.

Mathematical Methods for Curves and Surfaces

Author : Morten Dæhlen
Publisher : Springer Science & Business Media
ISBN 13 : 3642116191
Total Pages : 453 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Mathematical Methods for Curves and Surfaces by : Morten Dæhlen

Download or read book Mathematical Methods for Curves and Surfaces written by Morten Dæhlen and published by Springer Science & Business Media. This book was released on 2010-03-02 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008, held in Tønsberg, Norway, in June/July 2008. The 28 revised full papers presented were carefully reviewed and selected from 129 talks presented at the conference. The topics addressed by the papers range from mathematical analysis of various methods to practical implementation on modern graphics processing units.

Modern Differential Geometry of Curves and Surfaces with Mathematica

Author : Elsa Abbena
Publisher : CRC Press
ISBN 13 : 1351992201
Total Pages : 1024 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Modern Differential Geometry of Curves and Surfaces with Mathematica by : Elsa Abbena

Download or read book Modern Differential Geometry of Curves and Surfaces with Mathematica written by Elsa Abbena and published by CRC Press. This book was released on 2017-09-06 with total page 1024 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted. Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space.

An Introduction to NURBS

Author : David F. Rogers
Publisher : Morgan Kaufmann
ISBN 13 : 1558606696
Total Pages : 344 pages
Book Rating : 4.5/5 (586 download)

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Book Synopsis An Introduction to NURBS by : David F. Rogers

Download or read book An Introduction to NURBS written by David F. Rogers and published by Morgan Kaufmann. This book was released on 2001 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: NURBS (Non-uniform Rational B-Splines) are the computer graphics industry standard for curve and surface description. They are now incorporated into all standard computer-aided design and drafting programs (for instance, Autocad). They are also extensively used in all aspects of computer graphics including much of the modeling used for special effects in film and animation, consumer products, robot control, and automobile and aircraft design. So, the topic is particularly important at this time because NURBS are really at the peak of interest as applied to computer graphics and CAD of all kind.

Frontier Computing

Author : Jia-Wei Chang
Publisher : Springer Nature
ISBN 13 : 9811601151
Total Pages : 2343 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Frontier Computing by : Jia-Wei Chang

Download or read book Frontier Computing written by Jia-Wei Chang and published by Springer Nature. This book was released on 2022-01-01 with total page 2343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the proceedings of the 10th International Conference on Frontier Computing, held in Singapore, on July 10–13, 2020, and provides comprehensive coverage of the latest advances and trends in information technology, science, and engineering. It addresses a number of broad themes, including communication networks, business intelligence and knowledge management, web intelligence, and related fields that inspire the development of information technology. The respective contributions cover a wide range of topics: database and data mining, networking and communications, web and Internet of things, embedded systems, soft computing, social network analysis, security and privacy, optical communication, and ubiquitous/pervasive computing. Many of the papers outline promising future research directions, and the book benefits students, researchers, and professionals alike. Further, it offers a useful reference guide for newcomers to the field.

Surface Temperature Reconstructions for the Last 2,000 Years

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309102251
Total Pages : 160 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Surface Temperature Reconstructions for the Last 2,000 Years by : National Research Council

Download or read book Surface Temperature Reconstructions for the Last 2,000 Years written by National Research Council and published by National Academies Press. This book was released on 2007-01-05 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: In response to a request from Congress, Surface Temperature Reconstructions for the Last 2,000 Years assesses the state of scientific efforts to reconstruct surface temperature records for Earth during approximately the last 2,000 years and the implications of these efforts for our understanding of global climate change. Because widespread, reliable temperature records are available only for the last 150 years, scientists estimate temperatures in the more distant past by analyzing "proxy evidence," which includes tree rings, corals, ocean and lake sediments, cave deposits, ice cores, boreholes, and glaciers. Starting in the late 1990s, scientists began using sophisticated methods to combine proxy evidence from many different locations in an effort to estimate surface temperature changes during the last few hundred to few thousand years. This book is an important resource in helping to understand the intricacies of global climate change.

Curves and Surfaces for Computer Graphics

Author : David Salomon
Publisher : Springer Science & Business Media
ISBN 13 : 0387284524
Total Pages : 466 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Curves and Surfaces for Computer Graphics by : David Salomon

Download or read book Curves and Surfaces for Computer Graphics written by David Salomon and published by Springer Science & Business Media. This book was released on 2007-03-20 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Requires only a basic knowledge of mathematics and is geared toward the general educated specialists. Includes a gallery of color images and Mathematica code listings.

Applications of Spatial Data Structures

Author : Hanan Samet
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Applications of Spatial Data Structures by : Hanan Samet

Download or read book Applications of Spatial Data Structures written by Hanan Samet and published by Addison Wesley Publishing Company. This book was released on 1990 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms

Author : Abel Gomes
Publisher : Springer Science & Business Media
ISBN 13 : 1848824068
Total Pages : 351 pages
Book Rating : 4.8/5 (488 download)

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Book Synopsis Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms by : Abel Gomes

Download or read book Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms written by Abel Gomes and published by Springer Science & Business Media. This book was released on 2009-05-12 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Implicit objects have gained increasing importance in geometric modeling, visualisation, animation, and computer graphics, because their geometric properties provide a good alternative to traditional parametric objects. This book presents the mathematics, computational methods and data structures, as well as the algorithms needed to render implicit curves and surfaces, and shows how implicit objects can easily describe smooth, intricate, and articulatable shapes, and hence why they are being increasingly used in graphical applications. Divided into two parts, the first introduces the mathematics of implicit curves and surfaces, as well as the data structures suited to store their sampled or discrete approximations, and the second deals with different computational methods for sampling implicit curves and surfaces, with particular reference to how these are applied to functions in 2D and 3D spaces.

Computation of Curves and Surfaces

Author : Wolfgang Dahmen
Publisher : Springer Science & Business Media
ISBN 13 : 9400920172
Total Pages : 537 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Computation of Curves and Surfaces by : Wolfgang Dahmen

Download or read book Computation of Curves and Surfaces written by Wolfgang Dahmen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assembled here is a collection of articles presented at a NATO ADVANCED STU DY INSTITUTE held at Puerto de la Cruz, Tenerife, Spain during the period of July 10th to 21st, 1989. In addition to the editors of these proceedings Professor Larry L. Schumaker from Vanderbilt University, Nashville, Tennessee, served as a member of the international organizing committee. The contents of the contribu tions fall within the heading of COMPUTATION OF CURVES AND SURFACES and therefore address mathematical and computational issues pertaining to the dis play, modeling, interrogation and representation of complex geometrical objects in various scientific and technical environments. As is the intent of the NATO ASI program the meeting was two weeks in length and the body of the scientific activities was organized around prominent experts. Each of them presented lectures on his current research activity. We were fortunate to have sixteen distinguished invited speakers representing nine NATO countries: W. Bohm (Federal Republic of Germany), C. de Boor (USA), C.K. Chui (USA), W. Dahmen (Federal Republic of Germany), F. Fontanella (Italy), M. Gasca (Spain), R. Goldman (Canada), T.N.T. Goodman (UK), J.A. Gregory (UK), C. Hoffman (USA), J. Hoschek (Federal Republic of Germany), A. Le Mehaute (France), T. Lyche (Norway), C.A. Micchelli (USA), 1.1. Schumaker (USA), C. Traas (The Netherlands). The audience consisted of both young researchers as well as established scientists from twelve NATO countries and several non-NATO countries.

Handbook of Discrete and Computational Geometry, Second Edition

Author : Csaba D. Toth
Publisher : CRC Press
ISBN 13 : 1420035312
Total Pages : 1557 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Discrete and Computational Geometry, Second Edition by : Csaba D. Toth

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

Handbook of Discrete and Computational Geometry

Author : Csaba D. Toth
Publisher : CRC Press
ISBN 13 : 1498711421
Total Pages : 1928 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Handbook of Discrete and Computational Geometry by : Csaba D. Toth

Download or read book Handbook of Discrete and Computational Geometry written by Csaba D. Toth and published by CRC Press. This book was released on 2017-11-22 with total page 1928 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.