Curve And Surface Reconstruction Surface Reconstruction

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Curve And Surface Reconstruction

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Author : Tamal K. Dey
language : en
Publisher: Cambridge University Press
Release Date : 2006-10-16

Curve And Surface Reconstruction written by Tamal K. Dey and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-16 with Computers categories.

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.

Curve And Surface Reconstruction

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Author : Tamal Krishna Dey
language : en
Publisher:
Release Date : 2007

Curve And Surface Reconstruction written by Tamal Krishna Dey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Curves on surfaces categories.

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.

Curve And Surface Reconstruction Surface Reconstruction

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Author : Tamal Krishna Dey
language : en
Publisher:
Release Date : 2007

Curve And Surface Reconstruction Surface Reconstruction written by Tamal Krishna Dey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Curves on surfaces categories.

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.

Effective Computational Geometry For Curves And Surfaces

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Author : Jean-Daniel Boissonnat
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-10-24

Effective Computational Geometry For Curves And Surfaces written by Jean-Daniel Boissonnat and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-24 with Mathematics categories.

Computational geometry emerged as a discipline in the seventies and has had considerable success in improving the asymptotic complexity of the solutions tobasicgeometricproblemsincludingconstructionsofdatastructures,convex hulls, triangulations, Voronoi diagrams and geometric arrangements as well as geometric optimisation. However, in the mid-nineties, it was recognized that the computational geometry techniques were far from satisfactory in practice and a vigorous e?ort has been undertaken to make computational geometry more practical. This e?ort led to major advances in robustness, geometric software engineering and experimental studies, and to the development of a large library of computational geometry algorithms, Cgal. The goal of this book is to take into consideration the multidisciplinary nature of the problem and to provide solid mathematical and algorithmic foundationsfore?ectivecomputationalgeometryforcurvesandsurfaces. This book covers two main approaches. In a ?rst part, we discuss exact geometric algorithms for curves and s- faces. We revisit two prominent data structures of computational geometry, namely arrangements (Chap. 1) and Voronoi diagrams (Chap. 2) in order to understand how these structures, which are well-known for linear objects, behave when de?ned on curved objects. The mathematical properties of these structures are presented together with algorithms for their construction. To ensure the e?ectiveness of our algorithms, the basic numerical computations that need to be performed are precisely speci?ed, and tradeo?s are considered between the complexity of the algorithms (i. e. the number of primitive calls), and the complexity of the primitives and their numerical stability. Chap.

Curve And Surface Reconstruction Noise And Reconstruction

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Author : Tamal Krishna Dey
language : en
Publisher:
Release Date : 2007

Curve And Surface Reconstruction Noise And Reconstruction written by Tamal Krishna Dey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Curves on surfaces categories.

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.

Visual Motion Of Curves And Surfaces

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Author : Roberto Cipolla
language : en
Publisher: Cambridge University Press
Release Date : 2000

Visual Motion Of Curves And Surfaces written by Roberto Cipolla and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.

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.

An Introduction To Nurbs

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Author : David F. Rogers
language : en
Publisher: Elsevier
Release Date : 2000-08-22

An Introduction To Nurbs written by David F. Rogers and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-22 with Computers categories.

The latest from a computer graphics pioneer, An Introduction to NURBS is the ideal resource for anyone seeking a theoretical and practical understanding of these very important curves and surfaces. Beginning with Bézier curves, the book develops a lucid explanation of NURBS curves, then does the same for surfaces, consistently stressing important shape design properties and the capabilities of each curve and surface type. Throughout, it relies heavily on illustrations and fully worked examples that will help you grasp key NURBS concepts and deftly apply them in your work. Supplementing the lucid, point-by-point instructions are illuminating accounts of the history of NURBS, written by some of its most prominent figures. Whether you write your own code or simply want deeper insight into how your computer graphics application works, An Introduction to NURBS will enhance and extend your knowledge to a degree unmatched by any other resource. - Presents vital information with applications in many different areas: CAD, scientific visualization, animation, computer games, and more. - Facilitates accessiblity to anyone with a knowledge of first-year undergraduate mathematics. - Details specific NURBS-based techniques, including making cusps with B-spline curves and conic sections with rational B-spline curves. - Presents all important algorithms in easy-to-read pseudocode-useful for both implementing them and understanding how they work. - Includes complete references to additional NURBS resources.

Curve And Surface Reconstruction From Noisy Samples

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Author : Sheung-Hung Poon
language : en
Publisher:
Release Date : 2004

Curve And Surface Reconstruction From Noisy Samples written by Sheung-Hung Poon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computer graphics categories.

Curves And Surfaces

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Author : Pierre-Jean Laurent
language : en
Publisher: CRC Press
Release Date : 1994-07-15

Curves And Surfaces written by Pierre-Jean Laurent and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-07-15 with Computers categories.

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