Curves and Surfaces in Geometric Modeling

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Author :
Release : 2000
Genre : Computers
Kind :
Book Rating : 992/5 ( reviews)

Curves and Surfaces in Geometric Modeling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Curves and Surfaces in Geometric Modeling write by Jean H. Gallier. This book was released on 2000. Curves and Surfaces in Geometric Modeling available in PDF, EPUB and Kindle. "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

Modeling of Curves and Surfaces in CAD/CAM

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Release : 2012-12-06
Genre : Computers
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Book Rating : 98X/5 ( reviews)

Modeling of Curves and Surfaces in CAD/CAM - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modeling of Curves and Surfaces in CAD/CAM write by Mamoru Hosaka. This book was released on 2012-12-06. Modeling of Curves and Surfaces in CAD/CAM available in PDF, EPUB and Kindle. 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.

Modeling of Curves and Surfaces with MATLAB®

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Release : 2010-06-10
Genre : Mathematics
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Book Rating : 771/5 ( reviews)

Modeling of Curves and Surfaces with MATLAB® - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modeling of Curves and Surfaces with MATLAB® write by Vladimir Rovenski. This book was released on 2010-06-10. Modeling of Curves and Surfaces with MATLAB® available in PDF, EPUB and Kindle. This text on geometry is devoted to various central geometrical topics including: graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces as well as their applications in a variety of disciplines. This book presents elementary methods for analytical modeling and demonstrates the potential for symbolic computational tools to support the development of analytical solutions. The author systematically examines several powerful tools of MATLAB® including 2D and 3D animation of geometric images with shadows and colors and transformations using matrices. With over 150 stimulating exercises and problems, this text integrates traditional differential and non-Euclidean geometries with more current computer systems in a practical and user-friendly format. This text is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines.

Designing Fair Curves and Surfaces

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Author :
Release : 1994-01-01
Genre : Computers
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Book Rating : 323/5 ( reviews)

Designing Fair Curves and Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Designing Fair Curves and Surfaces write by Nickolas S. Sapidis. This book was released on 1994-01-01. Designing Fair Curves and Surfaces available in PDF, EPUB and Kindle. 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. A valuable resource for engineers working in CAD, CAM, or computer-aided engineering.

Geometric Modeling

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Release : 2012-12-06
Genre : Computers
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Book Rating : 045/5 ( reviews)

Geometric Modeling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Modeling write by Hans Hagen. This book was released on 2012-12-06. Geometric Modeling available in PDF, EPUB and Kindle. This book is based on lectures presented at an international workshop on geometric modeling held at Hewlett Packard GmbH in Boblingen, FRG, in June 1990. International experts from academia and industry were selected to speak on the most interesting topics in geometric modeling. The resulting papers, published in this volume, give a state-of-the-art survey of the relevant problems and issues. The following topics are discussed: - Methods for constructing surfaces on surfaces: four different solutions to the multidimen sional problem of constructing an interpolant from surface data are provided. - Surfaces in solid modeling: current results on the implementation of free-fonn solids in three well established solid models are reviewed. - Box splines and applications: an introduction to box spline methods for the representation of surfaces is given. Basic properties of box splines are derived, and refinement and evaluation methods for box splines are presented in detail. Shape preserving properties, the construction of non-rectangular box spline surfaces, applications to surface modeling, and imbedding problems, are discussed. - Advanced computer graphics techniques for volume visualization: the steps to be executed in the visualization process of volume data are described and tools are discussed that assist in handling this data. - Rational B-splines: an introduction to the representation of curves and surfaces using rational B-splines is given, together with a critical evaluation of their potential for industrial application.