روش های ریاضی در طراحی هندسی با کمک رایانه II ۲۰۱۴
Mathematical Methods in Computer Aided Geometric Design II 2014

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 Bézier 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. Bézier 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 Bézier Curves and Surfaces

46. Chapter 40. Rational Geometrie Curve Interpolation

47. Chapter 41. Curvature Properties of Parametric Triangular Bézier 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