Mathematical Methods in Computer Aided Geometric Design II
eBook - PDF

Mathematical Methods in Computer Aided Geometric Design II

  1. 644 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Mathematical Methods in Computer Aided Geometric Design II

About this book

Mathematical Methods in Computer Aided Geometric Design II covers the proceedings of the 1991 International Conference on Curves, Surfaces, CAGD, and Image Processing, held at Biri, Norway. This book contains 48 chapters that include the topics of blossoming, cyclides, data fitting and interpolation, and finding intersections of curves and surfaces. Considerable chapters explore the geometric continuity, geometrical optics, image and signal processing, and modeling of geological structures. The remaining chapters discuss the principles of multiresolution analysis, NURBS, offsets, radial basis functions, rational splines, robotics, spline and BĂ©zier methods for curve and surface modeling, subdivision, terrain modeling, and wavelets. This book will prove useful to mathematicians, computer scientists, and advance mathematics students.

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Yes, you can access Mathematical Methods in Computer Aided Geometric Design II by Tom Lyche,Larry L. Schumaker in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780124605107
eBook ISBN
9781483257983
Topic
Mathematics
Subtopic
Geometry
Index
Mathematics

Table of contents

  1. Front Cover
  2. Mathematical Methods in Computer Aided Geometric Design II
  3. Copyright Page
  4. Table of Contents
  5. PREFACE
  6. PARTICIPANTS
  7. Chapter 1. Symmetrizing Multiaffine Polynomials
  8. Chapter 2. Norm Estimates for Inverses of Distance Matrices
  9. Chapter 3. Numerical Treatment of Surface–Surface Intersection and Contouring
  10. Chapter 4. Modeling Closed Surfaces: A Comparison of Existing Methods
  11. Chapter 5. A New Characterization of Plane Elastica
  12. Chapter 6. POLynomials, POLar Forms, and InterPOLation
  13. Chapter 7. Pyramid Patches Provide Potential Polynomial Paradigms
  14. Chapter 8. Implicitizing Rational Surfaces with Base Points by Applying Perturbations and the Factors of Zero Theorem
  15. Chapter 9. Wavelets and Multiscale Interpolation
  16. Chapter 10. Decomposition of Splines
  17. Chapter 11. A Curve Intersection Algorithm with Processing of Singular Cases: Introduction of a CHpping Technique
  18. Chapter 12. Best Approximations of Parametric Curves by Splines
  19. Chapter 13. An Approximately Cubic Surface Interpolant
  20. Chapter 14. On the Continuity of Piecewise Parametric Surfaces
  21. Chapter 15. Stationary and Non-Stationary Binary Subdivision Schemes
  22. Chapter 16. MQ–Curves are Curves in Tension
  23. Chapter 17. Offset Approximation Improvement by Control Point Perturbation
  24. Chapter 18. Curves and Surfaces in Geometrical Optics
  25. Chapter 19. Evaluation and Properties of the Derivative of a NURBS Curve
  26. Chapter 20. Hybrid Cubic BĂ©zier Triangle Patches
  27. Chapter 21. Modelling Geological Structures Using Splines
  28. Chapter 22. Wonderful Triangle: A Simple, Unified, Algorithmic Approach to Change of Basis Procedures in Computer Aided Geometric Design
  29. Chapter 23. An Arbitrary Mesh Network Scheme Using Rational SpUnes
  30. Chapter 24. BĂ©zier Curves and Surface Patches on Quadrics
  31. Chapter 25. Monotonicity Preserving Interpolation Using Rational Cubic Bezier Curves
  32. Chapter 26. Minimization of Interpolating Spline Curves with Bounded Derivatives
  33. Chapter 27. On Piecewise Quadratic Approximation and Interpolation
  34. Chapter 28. Non-affine Blossoms and Subdivision for Q-Splines
  35. Chapter 29. On a Class of Data Parametrizations: Variations on a Theme of Epstein, II
  36. Chapter 30. Wavelets and Image Compression
  37. Chapter 31. Lower Bounds on the Dimension of Bivariate Spline Spaces and Generic Triangulations
  38. Chapter 32. Geometrie Contact of Order ρ Between Two Surfaces
  39. Chapter 33. On Non-Parametric Constrained Interpolation
  40. Chapter 34. Tensor Product Slices
  41. Chapter 35. Construction of Smooth Surfaces by Piecewise Tensor Product Polynomials
  42. Chapter 36. The Virtues of Cyclides in CAGD
  43. Chapter 37. Simple Surfaces Have No Simple C1 Parametrization
  44. Chapter 38. Some Tools for Quasi-Interpolation on Cardinal Grids
  45. Chapter 39. Discrete BĂ©zier Curves and Surfaces
  46. Chapter 40. Rational Geometrie Curve Interpolation
  47. Chapter 41. Curvature Properties of Parametric Triangular BĂ©zier Patches
  48. Chapter 42. Offsets of Polynomial Bezier Curves: Hermite Approximation with Error Bounds
  49. Chapter 43. Representing Piecewise Polynomials as Linear Combinations of Multivariate B-Splines
  50. Chapter 44. An Explicit Derivation of Discretely Shaped Beta-spline Basis Functions of Arbitrary Order
  51. Chapter 45. Discrete Convolution Schemes
  52. Chapter 46. A Method for Removing the Singularities from Gregory Surfaces
  53. Chapter 47. Bivariate Spline Approximation by Penalized Least Squares
  54. Chapter 48. Interpolation with g-splines