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Modeling of Curves and Surfaces in CAD/CAM

  • Book
  • © 1992

Overview

Authors:
  1. Mamoru Hosaka

    1. Tokyo Denki University, Chiyoda-ku, Tokyo, Japan

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Part of the book series: Computer Graphics: Systems and Applications (COMPUTER GRAPH.)

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Table of contents (17 chapters)

  1. Front Matter

    Pages I-XXI
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  2. Excerpts from Vector and Matrix Theory

    • Mamoru Hosaka
    Pages 1-14

  3. Coordinate Transformations and Displacements

    • Mamoru Hosaka
    Pages 15-30

  4. Lines, Planes and Polyhedra

    • Mamoru Hosaka
    Pages 31-44

  5. Conics and Quadrics

    • Mamoru Hosaka
    Pages 45-54

  6. Theory of Curves

    • Mamoru Hosaka
    Pages 55-65

  7. Basic Theory of Surfaces

    • Mamoru Hosaka
    Pages 67-77

  8. Advanced Applications of Theory of Surfaces

    • Mamoru Hosaka
    Pages 79-102

  9. Curves Through Given Points, Interpolation and Extrapolation

    • Mamoru Hosaka
    Pages 103-116

  10. Bézier Curves and Control Points

    • Mamoru Hosaka
    Pages 117-139

  11. Connection of Bézier Curves and Relation to Spline Polygons

    • Mamoru Hosaka
    Pages 141-159

  12. Connection of Bézier Patches and Geometry of Spline Polygons and Nets

    • Mamoru Hosaka
    Pages 161-180

  13. Rational Bézier and Spline Expressions

    • Mamoru Hosaka
    Pages 181-212

  14. Non-regular Connections of Four-Sided Patches and Roundings of Corners

    • Mamoru Hosaka
    Pages 213-232

  15. Connections of Patches by Blending

    • Mamoru Hosaka
    Pages 233-252

  16. Triangular Surface Patches and Their Connection

    • Mamoru Hosaka
    Pages 253-265

  17. Surface Intersections

    • Mamoru Hosaka
    Pages 267-295

  18. Applications of the Theories in Industry

    • Mamoru Hosaka
    Pages 297-321

  19. Back Matter

    Pages 323-350
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Keywords

About this book

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.

Authors and Affiliations

  • Tokyo Denki University, Chiyoda-ku, Tokyo, Japan

    Mamoru Hosaka

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