منحنی ها و سطوح ۲۰۱۴
Curves and Surfaces 2014

1. Front Cover

2. Curves and Surfaces

3. Copyright Page

4. Table of Contents

5. PREFACE

6. CONTRIBUTORS

7. Chapter 1. Parametrization for Data Approximation

8. Chapter 2. A Vector Spline Approximation With Application to Meteorology

9. Chapter 3. Kernel Estimation in Change-Point Hazard Rate Models

10. Chapter 4. Spline Manifolds

11. Chapter 5. Use of Simulated Annealing to Construct Triangular Facet Surfaces

12. Chapter 6. G1 and G2 Continuity Between (SBR) Surfaces

13. Chapter 7. Ray Tracing Rational Parametric Surfaces

14. Chapter 8. Energy-Based Segmentation of Sparse Range Data

15. Chapter 9. Error Estimates for Multiquadric Interpolation

16. Chapter 10. A Geometrical Analysis for a Data Compression of 3D Anatomical Structures

17. Chapter 11. Ck Continuity of (SBR) Surfaces

18. Chapter 12. A Note on Piecewise Monotonie Bivariate Interpolation

19. Chapter 13. Real-Time Signal Analysis with Quasi-Interpolatory Splines and Wavelets

20. Chapter 14. Polynomial Expansions for Cardinal Interpolants and Orthonormal Wavelets

21. Chapter 15. Realtime Pipelined Spline Data Fitting for Sketched Curves

22. Chapter 16. Remarks on Digital Terrain Modelling Accuracy

23. Chapter 17. Convexity and Bernstein-Bézier Polynomials

24. Chapter 18. How to Draw a Curve Using Geometrical Data

25. Chapter 19. The Generation of an Aerodynamical Propeller Using Partial Differential Equations

26. Chapter 20. Fast Computation of Cross-Validated Robust Splines and Other Non-linear Smoothing Splines

27. Chapter 21. Szasz-Mirakyan Quasi-interpolants

28. Chapter 22. Statistical Check On The Smoothing Parameter of a Method for Inversion of Fourier Series

29. Chapter 23. A General Method of Treating Degenerate Bézier Patches

30. Chapter 24. G1 Smooth Connection Between Rectangular and Triangular Bézier Patches at a Common Corner

31. Chapter 25. Regularity Conditions for a Class of Geometrically Continuous Curves and Surfaces

32. Chapter 26. Splines and Digital Signal Processing

33. Chapter 27. B-Rational Curves and Surfaces N-Rational Splines

34. Chapter 28. Reparametrizations of Polynomial and Rational Curves

35. Chapter 29. Numerical Stability of Geometric Algorithms

36. Chapter 30. Solving Implicit ODEs by Simplicial Methods

37. Chapter 31. On the Power of a posteriori Error Estimation for Numerical Integration and Function Approximation

38. Chapter 32. Using the Refinement Equations for the Construction of Pre-Wavelets II: Powers of Two

39. Chapter 33. Elastica and Minimal-Energy Splines

40. Chapter 34. A Distributed Algorithm for Surface/Plane Intersection

41. Chapter 35. Construction of Exponential Tension B-splines of Arbitrary Order

42. Chapter 36. On the Almost Sure Limit of Probabilistic Recovery

43. Chapter 37. A New Curve Tracing Algorithm and Some Applications

44. Chapter 38. Pseudo-Cubic Weighted Splines Can Be C2 or G2

45. Chapter 39. Composite Cr-Triangular Finite Elements of PS Type on a Three Direction Mesh

46. Chapter 40. Dynamic Segmentation: Finding the Edge With Snake Splines

47. Chapter 41. Recent Developments in the Strang-Fix Theory for Approximation Orders

48. Chapter 42. Aligning Frames with the Tangent Curve of a B-spline Curve

49. Chapter 43. Error Estimates for Interpolation by Generalized Splines

50. Chapter 44. Varying the Shape Parameters of Rational Continuity

51. Chapter 45. Detecting Cusps and Inflection Points in Curves

52. Chapter 46. Image-like Surfaces: Parallel Least Squares Approximation Methods

53. Chapter 47. Local Kriging Interpolation: Application to Scattered Data on the Sphere

54. Chapter 48. Best Approximation of Circle Segments by Quadratic Bézier Curves

55. Chapter 49. A Procedure for Determining Starting Points for a Surface/Surface Intersection Algorithm

56. Chapter 50. Norms of Inverses for Matrices Associated with Scattered Data

57. Chapter 51. 2D Sampling in Tomography

58. Chapter 52. Subdividing Multivariate Polynomials Over Simplices in Bernstein-Bézier Form Without de Casteljau Algorithm

59. Chapter 53. Geometrically Smooth Interpolation by Triangular Bernstein-Bézier Patches With Coalescent Control Points

60. Chapter 54. Curve Fitting Using NURBS

61. Chapter 55. Univariate Multiquadric Interpolation: Some Recent Results

62. Chapter 56. Periodic Spline Interpolation of Functions of Bounded Variation

63. Chapter 57. Least Squares Fitting by Linear Splines on Data Dependent Triangulations

64. Chapter 58. How to Build Quasi-Interpolants: Application to Polyharmonic B-Splines

65. Chapter 59. Algorithms for Local Convexity of Bézier Curves and Surfaces

66. Chapter 60. Polynomial N-sided Patches

67. Chapter 61. Cubic Recursive Division With Bounded Curvature

68. Chapter 62. ω-Convergence, A Criterion for Linear Approximation

69. Chapter 63. Bernstein-Type Quasi-Interpolants

70. Chapter 64. Extension of the Problem of Best Interpolating Parametric Curves to L-Splines

71. Chapter 65. Adaptive G1 Approximation of Range Data Using Triangular Patches

72. Chapter 66. Universal Splines and Geometric Continuity

73. Chapter 67. Procedural Construction of Patch-Boundary Curves

74. Chapter 68. Efficient Computation of Multiple Knots Nonuniform Spline Functions

75. Chapter 69. Chebyshev Approximation in IRn by Curves and Linear Manifolds

76. Chapter 70. A Building Method for Hierarchical Covering Spheres of a Given Set of Points

77. Chapter 71. The Variational Approach to Shape Preservation

78. Chapter 72. Spline Fitting Numerous Noisy Data With Discontinuities

79. Chapter 73. B-Spline Surfaces for Real-time Shape Design

80. Chapter 74. Conversion of a Composite Trimmed Bézier Surface Into Composite Bézier Surfaces

81. Chapter 75. Multivariate Model Building With Additive Interaction and Tensor Product Thin Plate Splines

82. Chapter 76. Recursion Relations for 4 x 4 Determinants Related to Rational Cubic Bézier Curves

83. Chapter 77. Lagrange Interpolation by Quadratic Splines On a Quadrilateral Domain of IR2