Mathematical Aspects Of Geometric Modeling

Author : Charles A. Micchelli
Publisher : SIAM
ISBN 13 : 0898713315
Total Pages : 263 pages
Book Rating : 4.12/5 ( download)

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Download or read book Mathematical Aspects of Geometric Modeling written by Charles A. Micchelli and published by SIAM. This book was released on 1995-01-01 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines concepts that are useful for the modeling of curves and surfaces and emphasizes the mathematical theory that underlies them.

Author : Michael E. Mortenson
Publisher :
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.07/5 ( download)

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Download or read book Geometric Modeling written by Michael E. Mortenson and published by . This book was released on 2006 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Completely updated to include the most recent developments in the field, the third edition like the two previous editions, emphasizes clarity and thoroughness in the mathematical development of its subjects. It is written in a style that is free of jargon of special applications, while integrating the three important functions of geometric modeling: to represent elementary forms (curves, surfaces, and solids), to shape and assemble these into complex forms, and to determine geometric properties and relationships. With hundreds of illustrations, this unique book appeals to the readers visual and intuitive skills in a way that makes it easier to understand its more abstract concepts. Upper-division and graduate students, teachers, and professionals studying, teaching or practicing geometric modeling, 3D modeling, computational geometry, computer graphics applications, animation, CAD/CAM, and related subjects will find this to be a very valuable reference.

Author : Michael E. Mortenson
Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.30/5 ( download)

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Download or read book Geometric Modeling written by Michael E. Mortenson and published by . This book was released on 1997 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, up-to-date presentation of the indispensable core concepts of geometric modeling Now completely updated to include the most recent developments in the field, Geometric Modeling, Second Edition presents a comprehensive discussion of the core concepts of this subject. It describes and compares all the important mathematical methods for modeling curves, surfaces, and solids, and shows how to transform and assemble these elements into complex models. Written in a style free of the jargon of special applications, this unique book focuses on the essence of geometric modeling and treats it as a discipline in its own right. It integrates the three important functions of geometric modeling: to represent elementary forms (i.e., curves, surfaces, and solids), to shape and assemble these into more complex forms, and to determine concomitant derivative geometric elements (i.e., intersections, offsets, and fillets). With more than 300 illustrations, Geometric Modeling, Second Edition appeals to the reader's visual and intuitive skills in a way that makes it easier to understand its more abstract concepts. An extensive bibliography lists many supporting works, directing the reader to more specialized treatments of this subject. Geometric Modeling, Second Edition serves as an invaluable guide to computer graphics and CAD/CAM specialists, applications designers, scientific programmers, teachers, and students.

Author : Nikolay Golovanov
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781497473195
Total Pages : 0 pages
Book Rating : 4.95/5 ( download)

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Download or read book Geometric Modeling written by Nikolay Golovanov and published by Createspace Independent Publishing Platform. This book was released on 2014-12-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book outlines methods used to construct curves, surfaces, and solids. It describes composition, principles of manipulation, and applications of geometric models. It has been written for university students and specialists in computer-aided design."--Abstract, p. 3.

Author : Mohamed Elkadi
Publisher : Springer Science & Business Media
ISBN 13 : 3540332758
Total Pages : 252 pages
Book Rating : 4.56/5 ( download)

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Download or read book Algebraic Geometry and Geometric Modeling written by Mohamed Elkadi and published by Springer Science & Business Media. This book was released on 2006-11-02 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.

Author : G. Farin
Publisher : Elsevier
ISBN 13 : 0444511040
Total Pages : 849 pages
Book Rating : 4.41/5 ( download)

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Download or read book Handbook of Computer Aided Geometric Design written by G. Farin and published by Elsevier. This book was released on 2002-08-13 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering. This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposure to this subject.

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 : Guido Brunnett
Publisher : Springer Science & Business Media
ISBN 13 : 3662074435
Total Pages : 473 pages
Book Rating : 4.35/5 ( download)

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Download or read book Geometric Modeling for Scientific Visualization written by Guido Brunnett and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Modeling and Scientific Visualization are both established disciplines, each with their own series of workshops, conferences and journals. But clearly both disciplines overlap; this observation led to the idea of composing a book on Geometric Modeling for Scientific Visualization.

Author : Nickolas S. Sapidis
Publisher : SIAM
ISBN 13 : 9781611971521
Total Pages : 330 pages
Book Rating : 4.27/5 ( download)

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Download or read book Designing Fair Curves and Surfaces written by Nickolas S. Sapidis and published by SIAM. This book was released on 1994-01-01 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This state-of-the-art study of the techniques used for designing curves and surfaces for computer-aided design applications focuses on the principle that fair shapes are always free of unessential features and are simple in design. The authors define fairness mathematically, demonstrate how newly developed curve and surface schemes guarantee fairness, and assist the user in identifying and removing shape aberrations in a surface model without destroying the principal shape characteristics of the model. Aesthetic aspects of geometric modeling are of vital importance in industrial design and modeling, particularly in the automobile and aerospace industries. Any engineer working in computer-aided design, computer-aided manufacturing, or computer-aided engineering will want to add this volume to his or her library. Researchers who have a familiarity with basic techniques in computer-aided graphic design and some knowledge of differential geometry will find this book a helpful reference. It is essential reading for statisticians working on approximation or smoothing of data with mathematical curves or surfaces.

Author : Carlotta Giannelli
Publisher : Springer Nature
ISBN 13 : 3030273318
Total Pages : 238 pages
Book Rating : 4.16/5 ( download)

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Download or read book Advanced Methods for Geometric Modeling and Numerical Simulation written by Carlotta Giannelli and published by Springer Nature. This book was released on 2019-09-18 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers selected contributions presented at the INdAM Workshop “DREAMS”, held in Rome, Italy on January 22−26, 2018. Addressing cutting-edge research topics and advances in computer aided geometric design and isogeometric analysis, it covers distinguishing curve/surface constructions and spline models, with a special focus on emerging adaptive spline constructions, fundamental spline theory and related algorithms, as well as various aspects of isogeometric methods, e.g. efficient quadrature rules and spectral analysis for isogeometric B-spline discretizations. Applications in finite element and boundary element methods are also discussed. Given its scope, the book will be of interest to both researchers and graduate students working in these areas.