Computer Aided Geometric Design
eBook - PDF

Computer Aided Geometric Design

  1. 336 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Computer Aided Geometric Design

About this book

Computer Aided Geometric Design covers the proceedings of the First International Conference on Computer Aided Geometric Design, held at the University of Utah on March 18-21, 1974. This book is composed of 15 chapters and starts with reviews of the properties of surface patch equation and the use of computers in geometrical design. The next chapters deal with the principles of smooth interpolation over triangles and without twist constraints, as well as the graphical representation of surfaces over triangles and rectangles. These topics are followed by discussions of the B-spline curves and surfaces; mathematical and practical possibilities of UNISURF; nonlinear splines; and some piecewise polynomial alternatives to splines under tension. Other chapters explore the smooth parametric surfaces, the space curve as a folded edge, and the interactive computer graphics application of the parametric bi-cubic surface to engineering design problems. The final chapters look into the three-dimensional human-machine communication and a class of local interpolating splines. This book will prove useful to design engineers.

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Yes, you can access Computer Aided Geometric Design by Robert E. Barnhill,Richard F. Riesenfeld in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Mathematics General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Front Cover
  2. Computer Aided Geometric Design
  3. Copyright Page
  4. Table of Contents
  5. Contributors
  6. Preface
  7. CHAPTER 1. SURFACE PATCHES AND B-SPLINE CURVES
  8. CHAPTER 2. COMPUTATIONAL GEOMETRY - ACHIEVEMENTS AND PROBLEMS
  9. CHAPTER 3. SMOOTH INTERPOLATION OVER TRIANGLES
  10. CHAPTER 4. SMOOTH INTERPOLATION WITHOUT TWIST CONSTRAINTS
  11. CHAPTER 5. GRAPHICAL REPRESENTATION OF SURFACES OVER TRIANGLES AND RECTANGLES
  12. CHAPTER 6. B-SPLINE CURVES AND SURFACES
  13. CHAPTER 7. MATHEMATICAL AND PRACTICAL POSSIBILITIES OF UNISURF
  14. CHAPTER 8. CONSTRAINED INTERPOLATION USING BÉZIER CURVES AS A NEW TOOL IN COMPUTER AIDED GEOMETRIC DESIGN
  15. CHAPTER 9. NONLINEAR SPLINES
  16. CHAPTER 10. SOME PIECEWISE POLYNOMIAL ALTERNATIVES TO SPLINES UNDER TENSION
  17. CHAPTER 11. SMOOTH PARAMETRIC SURFACES
  18. CHAPTER 12. THE SPACE CURVE AS A FOLDED EDGE
  19. CHAPTER 13. interactive computer graphics application of the PARAMETRIC BI-CUBIC SURFACE to engineering design problems
  20. CHAPTER 14. MAN MACHINE COMMUNICATION IN THREE DIMENSIONS
  21. CHAPTER 15. A CLASS OF LOCAL INTERPOLATING SPLINES