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Geometry And Interpolation Of Curves And Surfaces


Geometry And Interpolation Of Curves And Surfaces
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Geometry And Interpolation Of Curves And Surfaces


Geometry And Interpolation Of Curves And Surfaces
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Author : Robin J. Y. McLeod
language : en
Publisher: Cambridge University Press
Release Date : 1998-07-13

Geometry And Interpolation Of Curves And Surfaces written by Robin J. Y. McLeod 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 1998-07-13 with Computers categories.


This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many practical applications in engineering analysis, approximation, and curve-plotting problems. Because of its usefulness for computing, the algebraic approach is the main theme, but a brief discussion of the synthetic approach is also presented as a way of gaining additional insight before proceeding with the algebraic manipulation. Professionals, students, and researchers in applied mathematics, solid modeling, graphics, robotics, and engineering design and analysis will find this a useful reference.



Geometry And Interpolation Of Curves And Surfaces


Geometry And Interpolation Of Curves And Surfaces
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Author : Robin J. Y. McLeod
language : en
Publisher:
Release Date : 1998

Geometry And Interpolation Of Curves And Surfaces written by Robin J. Y. McLeod and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Curves, Algebraic categories.




Geometry And Interpolation Of Curves And Surfaces


Geometry And Interpolation Of Curves And Surfaces
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Author :
language : en
Publisher:
Release Date : 2011

Geometry And Interpolation Of Curves And Surfaces written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.




Curves And Surfaces


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



Modeling Of Curves And Surfaces In Cad Cam


Modeling Of Curves And Surfaces In Cad Cam
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Author : Mamoru Hosaka
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Modeling Of Curves And Surfaces In Cad Cam written by Mamoru Hosaka 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 2012-12-06 with Computers categories.


1 Aims and Features of This Book The contents of t. his book were originally planned t. o be included in a book en titled Geometric lIIodeling and CAD/CAM to be written by M. Hosaka and F. Kimura, but since the draft. of my part of the book was finished much earlier than Kimura's, we decided to publish this part separately at first. In it, geometrically oriented basic methods and tools used for analysis and synthesis of curves and surfaces used in CAD/CAM, various expressions and manipulations of free-form surface patches and their connection, interference as well as their qualit. y eval uation are treated. They are important elements and procedures of geometric models. And construction and utilization of geometric models which include free-form surfaces are explained in the application examples, in which the meth ods and the techniques described in this book were used. In the succeeding book which Kimura is to write, advanced topics such as data structures of geometric models, non-manifold models, geometric inference as well as tolerance problems and product models, process planning and so on are to be included. Conse quently, the title of this book is changed to Modeling of Curves and Surfaces in CAD/CAM. Features of this book are the following. Though there are excellent text books in the same field such as G. Farin's Curves and Surfaces for CAD /CAM[l] and C. M.



Curves And Surfaces For Computer Aided Geometric Design


Curves And Surfaces For Computer Aided Geometric Design
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Author : Gerald Farin
language : en
Publisher: Elsevier
Release Date : 2014-06-28

Curves And Surfaces For Computer Aided Geometric Design written by Gerald Farin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.


A leading expert in CAGD, Gerald Farin covers the representation, manipulation, and evaluation of geometric shapes in this the Third Edition of Curves and Surfaces for Computer Aided Geometric Design. The book offers an introduction to the field that emphasizes Bernstein-Bezier methods and presents subjects in an informal, readable style, making this an ideal text for an introductory course at the advanced undergraduate or graduate level. The Third Edition includes a new chapter on Topology, offers new exercises and sections within most chapters, combines the material on Geometric Continuity into one chapter, and updates existing materials and references. Implementation techniques are addressed for practitioners by the inclusion of new C programs for many of the fundamental algorithms. The C programs are available on a disk included with the text. System Requirements: IBM PC or compatibles, DOS version 2.0 or higher. - Covers representation, manipulation, and evaluation of geometric shapes - Emphasizes Bernstein-Bezier methods - Written in an informal, easy-to-read style



Curves And Surfaces In Geometric Modeling


Curves And Surfaces In Geometric Modeling
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Author : Jean H. Gallier
language : en
Publisher: Morgan Kaufmann
Release Date : 2000

Curves And Surfaces In Geometric Modeling written by Jean H. Gallier and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.


"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



Curves And Surfaces In Computer Aided Geometric Design


Curves And Surfaces In Computer Aided Geometric Design
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Author : Fujio Yamaguchi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Curves And Surfaces In Computer Aided Geometric Design written by Fujio Yamaguchi 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 2012-12-06 with Computers categories.


This book contains various types of mathematical descriptions of curves and surfaces, such as Ferguson, Coons, Spline, Bézier and B-spline curves and surfaces. The materials are classified and arranged in a unified way so that beginners can easily understand the whole spectrum of parametric curves and surfaces. This book will be useful to many researchers, designers, teachers, and students who are working on curves and surfaces. The book can be used as a textbook in computer aided design classes.



Curves And Surfaces For Cagd


Curves And Surfaces For Cagd
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Author : Gerald Farin
language : en
Publisher: Elsevier
Release Date : 2001-11-01

Curves And Surfaces For Cagd written by Gerald Farin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-01 with Computers categories.


This fifth edition has been fully updated to cover the many advances made in CAGD and curve and surface theory since 1997, when the fourth edition appeared. Material has been restructured into theory and applications chapters. The theory material has been streamlined using the blossoming approach; the applications material includes least squares techniques in addition to the traditional interpolation methods. In all other respects, it is, thankfully, the same. This means you get the informal, friendly style and unique approach that has made Curves and Surfaces for CAGD: A Practical Guide a true classic. The book's unified treatment of all significant methods of curve and surface design is heavily focused on the movement from theory to application. The author provides complete C implementations of many of the theories he discusses, ranging from the traditional to the leading-edge. You'll gain a deep, practical understanding of their advantages, disadvantages, and interrelationships, and in the process you'll see why this book has emerged as a proven resource for thousands of other professionals and academics. - Provides authoritative and accessible information for those working with or developing computer-aided geometric design applications - Covers all significant CAGD curve and surface design techniques-from the traditional to the experimental - Includes a new chapter on recursive subdivision and triangular meshes - Presents topical programming exercises useful to professionals and students alike



Geometry Of Curves And Surfaces With Maple


Geometry Of Curves And Surfaces With Maple
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Author : Vladimir Y. Rovenskii
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-04-26

Geometry Of Curves And Surfaces With Maple written by Vladimir Y. Rovenskii 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 2000-04-26 with Computers categories.


This concise text on geometry with computer modeling presents some elementary methods for analytical modeling and visualization of curves and surfaces. The author systematically examines such powerful tools as 2-D and 3-D animation of geometric images, transformations, shadows, and colors, and then further studies more complex problems in differential geometry. Well-illustrated with more than 350 figures---reproducible using Maple programs in the book---the work is devoted to three main areas: curves, surfaces, and polyhedra. Pedagogical benefits can be found in the large number of Maple programs, some of which are analogous to C++ programs, including those for splines and fractals. To avoid tedious typing, readers will be able to download many of the programs from the Birkhauser web site. Aimed at a broad audience of students, instructors of mathematics, computer scientists, and engineers who have knowledge of analytical geometry, i.e., method of coordinates, this text will be an excellent classroom resource or self-study reference. With over 100 stimulating exercises, problems and solutions, {\it Geometry of Curves and Surfaces with Maple} will integrate traditional differential and non- Euclidean geometries with more current computer algebra systems in a practical and user-friendly format.