Curves and Surfaces
  1. 490 pages
  2. English
  3. PDF
  4. Available on iOS & Android
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About This Book

This volume documents the results and presentations, related to aspects of geometric design, of the Second International Conference on Curves and Surfaces, held in Chamonix in 1993. The papers represent directions for future research and development in many areas of application. From the table of contents: - Object Oriented Spline Software - An Int

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Yes, you can access Curves and Surfaces by Pierre-Jean Laurent, Alain Le Méhauté, Larry Schumaker, Pierre-Jean Laurent, Alain Le Mehaute, Larry Schumaker in PDF and/or ePUB format, as well as other popular books in Computer Science & Computer Graphics. We have over one million books available in our catalogue for you to explore.

Information

Year
1994
ISBN
9781439863596
Edition
1

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Contents
  6. Preface
  7. Contributors
  8. Properties of Interpolating Means with Exponential-Type Weights
  9. Approximating Reachable Sets by Extrapolation Methods
  10. Unimodality Property of Quartic B-splines
  11. Object Oriented Spline Software
  12. On Polynomial Functions Defining the Geometric Continuity Between Two (SBR) Surfaces
  13. A 3D Generalized Voronoi Diagram for a Set of Polyhedra
  14. Variational Design of Rational Bézier Curves and Surfaces
  15. An Introduction to Padé Approximations
  16. Discrete Curves and Curvature Constraints
  17. A Necessary and Sufficient Condition for the C[sup(K)] Continuity of Triangular Rational Surfaces
  18. Monotonicity Preserving Representations
  19. Splines Focales
  20. A Surface-Surface Intersection Algorithm with a Fast Clipping Technique
  21. Zonoidal Surfaces
  22. Spline Conversion: Existing Solutions and Open Problems
  23. A Stepwise Algorithm for Converting B-Splines
  24. Best Constrained Approximations of Planar Curves by Bezier Curves
  25. Projective Blossoms and Derivatives
  26. Characterizations of the Set of Rational Parametric Curves with Rational Offsets
  27. A Necessary and Sufficient Condition for Joining B-Rational Curves with Geometric Continuity G[sup(3)]
  28. Generalizations of Bézier Curves and Surfaces
  29. Corner Cutting Algorithms and Totally Positive Matrices
  30. Piecewise Polynomial Approximation of Spheres
  31. Non-polynomial Polar Forms
  32. Curvature of Rational Quadratic Splines
  33. B-Spline Knot-Line Elimination and Bezier Continuity Conditions
  34. Applications of Constrained Polynomials to Curve and Surface Approximation
  35. Semi-regular B-spline Surfaces: Generalized Lofting by B-splines
  36. On Best Convex Interpolation of Curves
  37. Approximate Conversion arid Data Compression of Integral and Rational B-spline Surfaces
  38. A Geometrical Approach to Interpolation on Quadric Surfaces
  39. Finding Shortest Paths on Surfaces
  40. Polygonalization of Algebraic Surfaces
  41. A Knot Removal Strategy for Spline Curves
  42. Computation of Curvatures Related to Surface-Surface Blending
  43. Least-Squares Optimization of Thread Surfaces
  44. A Multivariate Generalization of the de Boor-Fix Formula
  45. A Metric for Parametric Approximation
  46. Mathematical Modelling of Free-Form Curves and Surfaces from Discrete Points with NURBS
  47. Evaluating Surface Intersections in Lower Dimensions
  48. The Iterative Solution of a Nonlinear Inverse Problem from Industry: Design of Reflectors
  49. Splines with Prescribed Modified Moments
  50. G[sup(2)]-Continuous Cubic Algebraic Splines and Their Efficient Display
  51. Splines in a Topological Setting
  52. A Characterization of Connecting Maps as Nonlinear Roots of the Identity
  53. Applications of the Dual Bézier Representation of Rational Curves and Surfaces
  54. Interpolation with an Arc Length Constraint
  55. Curve Reconstruction
  56. The Ubiquitous Ellipse
  57. Axial Convexity: A Well-shaped Shape Property
  58. Variation Diminution and Blossoming for Curves and Surfaces
  59. Approximation with Helix Splines
  60. Simplex Splines Support Surprisingly Strong Symmetric Structures and Subdivision
  61. An Object-Oriented Framework for Curves and Surfaces with Applications
  62. Designing a Progressive Lens
  63. Multiplication as a General Operation for Splines
  64. Symmetric TB-spline Schemes