Computational Geometry Curve And Surface Modeling

Author : Jean H. Gallier
Publisher : Morgan Kaufmann
ISBN 13 : 9781558605992
Total Pages : 512 pages
Book Rating : 4.91/5 ( download)

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Download or read book Curves and Surfaces in Geometric Modeling written by Jean H. Gallier and published by Morgan Kaufmann. This book was released on 2000 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Curves and Surfaces in Geometric Modeling: Theory and Algorithms offers a theoretically unifying understanding of polynomial curves and surfaces as well as an effective approach to implementation that you can apply to your own work as a graduate student, scientist, or practitioner." "The focus here is on blossoming - the process of converting a polynomial to its polar form - as a natural, purely geometric explanation of the behavior of curves and surfaces. This insight is important for more than just its theoretical elegance - the author demonstrates the value of blossoming as a practical algorithmic tool for generating and manipulating curves and surfaces that meet many different criteria. You'll learn to use this and other related techniques drawn from affine geometry for computing and adjusting control points, deriving the continuity conditions for splines, creating subdivision surfaces, and more." "It will be an essential acquisition for readers in many different areas, including computer graphics and animation, robotics, virtual reality, geometric modeling and design, medical imaging, computer vision, and motion planning."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved

Author : Su Bu-qing
Publisher : Elsevier
ISBN 13 : 1483272281
Total Pages : 306 pages
Book Rating : 4.83/5 ( download)

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Download or read book Computational Geometry written by Su Bu-qing and published by Elsevier. This book was released on 2014-05-10 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Geometry: Curve and Surface Modeling provides information pertinent to the fundamental aspects of computational geometry. This book discusses the geometric properties of parametric polynomial curves by using the theory of affine invariants for algebraic curves. Organized into eight chapters, this book begins with an overview of the objects studies in computational geometry, namely surfaces and curves. This text then explores the developments in the theory and application of spline functions, which began with cubic spline functions. Other chapters consider the mechanical background of the cubic spline functions, which is the wooden spline with small deflection. This book discusses as well that in mathematical lofting the information of a geometric shape is given by a set of data points, while in geometric design other ways of representations are available. The final chapter deals with the concepts in the theory of algebraic curves. This book is a valuable resource for mathematicians.

Author : Buqing Su
Publisher :
ISBN 13 : 9780126756104
Total Pages : 295 pages
Book Rating : 4.04/5 ( download)

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Download or read book Computational Geometry--curve and Surface Modeling written by Buqing Su and published by . This book was released on 1989-01-01 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Max K. Agoston
Publisher : Springer Science & Business Media
ISBN 13 : 1846281083
Total Pages : 908 pages
Book Rating : 4.82/5 ( download)

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Download or read book Computer Graphics and Geometric Modelling written by Max K. Agoston and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 908 pages. Available in PDF, EPUB and Kindle. Book excerpt: Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion. Computer Graphics and Geometric Modelling: Implementation and Algorithms, covers the computer graphics part of the field of geometric modelling and includes all the standard computer graphics topics. The first part deals with basic concepts and algorithms and the main steps involved in displaying photorealistic images on a computer. The second part covers curves and surfaces and a number of more advanced geometric modelling topics including intersection algorithms, distance algorithms, polygonizing curves and surfaces, trimmed surfaces, implicit curves and surfaces, offset curves and surfaces, curvature, geodesics, blending etc. The third part touches on some aspects of computational geometry and a few special topics such as interval analysis and finite element methods. The volume includes two companion programs.

Author : S. Hahmann
Publisher : Springer Science & Business Media
ISBN 13 : 3709105870
Total Pages : 246 pages
Book Rating : 4.70/5 ( download)

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Download or read book Geometric Modelling written by S. Hahmann and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 19 articles presented by leading experts in the field of geometric modelling the state-of-the-art on representing, modeling, and analyzing curves, surfaces as well as other 3-dimensional geometry is given. The range of applications include CAD/CAM-systems, computer graphics, scientific visualization, virtual reality, simulation and medical imaging. The content of this book is based on selected lectures given at a workshop held at IBFI Schloss Dagstuhl, Germany. Topics treated are: – curve and surface modelling – non-manifold modelling in CAD – multiresolution analysis of complex geometric models – surface reconstruction – variational design – computational geometry of curves and surfaces – 3D meshing – geometric modelling for scientific visualization – geometric models for biomedical applications

Author : Jean-Daniel Boissonnat
Publisher : Springer Science & Business Media
ISBN 13 : 3540332596
Total Pages : 352 pages
Book Rating : 4.96/5 ( download)

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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.

Author : Michael E. Mortenson
Publisher :
ISBN 13 :
Total Pages : 788 pages
Book Rating : 4.85/5 ( download)

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Download or read book Geometric Modeling written by Michael E. Mortenson and published by . This book was released on 1985 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive and complete coverage of geometric modeling. This text accurately treats the parametric geometry of curves, surfaces and solids, the construction of geometric models and the analytical techniques that can be used and applications. Extensive use is made of end-of-chapter problems.

Author : Muhammad Sarfraz
Publisher : Springer Science & Business Media
ISBN 13 : 9401716897
Total Pages : 449 pages
Book Rating : 4.95/5 ( download)

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Download or read book Geometric Modeling: Techniques, Applications, Systems and Tools written by Muhammad Sarfraz and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Aided techniques, Applications, Systems and tools for Geometric Modeling are extremely useful in a number of academic and industrial settings. Specifically, Computer Aided Geometric Modeling (CAGM) plays a significant role in the construction of - signing and manufacturing of various objects. In addition to its cri- cal importance in the traditional fields of automobile and aircraft manufacturing, shipbuilding, and general product design, more - cently, the CAGM methods have also proven to be indispensable in a variety of modern industries, including computer vision, robotics, medical imaging, visualization, and even media. This book aims to provide a valuable source, which focuses on - terdisciplinary methods and affiliate research in the area. It aims to provide the user community with a variety of Geometric Modeling techniques, Applications, systems and tools necessary for various real life problems in the areas such as: Font Design Medical Visualization Scientific Data Visualization Archaeology Toon Rendering Virtual Reality Body Simulation It also aims to collect and disseminate information in various dis- plines including: Curve and Surface Fitting Geometric Algorithms Scientific Visualization Shape Abstraction and Modeling Intelligent CAD Systems Computational Geometry Solid Modeling v Shape Analysis and Description Industrial Applications The major goal of this book is to stimulate views and provide a source where researchers and practitioners can find the latest dev- opments in the field of Geometric Modeling.

Author : Nicholas M. Patrikalakis
Publisher : Springer Science & Business Media
ISBN 13 : 9783540424543
Total Pages : 428 pages
Book Rating : 4.47/5 ( download)

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Download or read book Shape Interrogation for Computer Aided Design and Manufacturing written by Nicholas M. Patrikalakis and published by Springer Science & Business Media. This book was released on 2002-02-14 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. The authors focus on shape interrogation of geometric models bounded by free-form surfaces. Free-form surfaces, also called sculptured surfaces, are widely used in the bodies of ships, automobiles and aircraft, which have both functionality and attractive shape requirements. Many electronic devices as well as consumer products are designed with aesthetic shapes, which involve free-form surfaces. This book provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, geodesics, and offset curves and surfaces. This book will be of interest both to graduate students and professionals.

Author : Robert E. Barnhill
Publisher : SIAM
ISBN 13 : 0898712807
Total Pages : 207 pages
Book Rating : 4.03/5 ( download)

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Download or read book Geometry Processing for Design and Manufacturing written by Robert E. Barnhill and published by SIAM. This book was released on 1992-01-01 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text includes papers covering topics in geometry processing applications, such as surface-surface intersections and offset surfaces. Present methods fundamental to geometric modelling are highlighted.