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Seminar on knots and paths

Seminar on knots and paths. Yajuan Li Nov. 23, 2005. Outlines. Modifying the knots of B-spline curves. Constrained shape modification of curves and surfaces. Paths of C-B é zier and C-B-spline curves. Future works. References.

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Seminar on knots and paths

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  1. Seminar on knots and paths Yajuan Li Nov. 23, 2005

  2. Outlines • Modifying the knots of B-spline curves. • Constrained shape modification of • curves and surfaces. • Paths of C-Bézier and C-B-spline curves. • Future works.

  3. References http://www.ektf.hu/tanszek/matematika/gemma/gemma.html Juhász Imre, Hoffmann Miklǒs. JGG= Journal for Geometry and Graphics [1]The effect of knot modifications on the shape of B-spline curves.JGG, 2001,5, 111–119. [2]Geometric aspects of knot modification of B-spline surfaces, JGG, , 2002,6, 141-149. [3]Modifying a knot of B-spline curves，CAGD, 2003, 20, 243- 245. [4]Constrained shape modification of cubic B-spline curves by means of knots, CAD, , 2004, 36, 437-445. [5]Symmetric alteration of two knots of B-spline curves.JGG, 2005, accepted. [6]A limit theorem for one-parameter alteration of two knots of B-spline curves. Annales Mathematicae et Informaticae, 2005, accepted. … [7] Barnabas Aszodi etc.. Nurbs fairing by knot vector optimization, Journal of WSCG, , 2004. 12.

  4. Modifying the knots of B-spline curves.

  5. Modifying a knot of B-spline curves.

  6. Modifying a knot of B-spline curves.

  7. Modifying a knot of B-spline curves.

  8. Modifying a knot of B-spline curves.

  9. Modifying two knots of B-spline curves symmetrically.

  10. Modifying two knots of B-spline curves symmetrically.

  11. Modifying two knots of B-spline curves symmetrically.

  12. Extended to the NURBS curves.

  13. Extended to the NURBS curves.

  14. Modifying two knots of B-spline curves by one parameter.

  15. Modifying two knots of B-spline curves by one parameter.

  16. Modifying two knots of B-spline curves by one parameter.

  17. Extended to the NURBS curves.

  18. Extended to the NURBS curves.

  19. Modifying the knots of B-spline surfaces.

  20. Modifying the knots of B-spline surfaces.

  21. Modifying the knots of B-spline surfaces.

  22. Modifying the knots of B-spline surfaces.

  23. Modifying the knots of B-spline surfaces.

  24. Modifying the knots of B-spline surfaces.

  25. Modifying the knots of B-spline surfaces.

  26. Modifying the knots of B-spline surfaces.

  27. Modifying the knots of B-spline surfaces.

  28. Modifying the knots of B-spline surfaces.

  29. Constrained shape modification of curves and surfaces.

  30. Constrained shape modification of curves and surfaces.

  31. Constrained shape modification of curves and surfaces.

  32. Constrained shape modification of curves and surfaces.

  33. Constrained shape modification of curves and surfaces.

  34. Paths of C-Bézier and C-B-spline curves.

  35. Paths of C-Bézier and C-B-spline curves.

  36. Paths of C-Bézier and C-B-spline curves.

  37. Paths of C-Bézier and C-B-spline curves.

  38. Paths of C-Bézier and C-B-spline curves.

  39. Paths of C-Bézier and C-B-spline curves.

  40. Paths of C-Bézier and C-B-spline curves.

  41. Paths of C-Bézier and C-B-spline curves.

  42. Paths of C-Bézier and C-B-spline curves.

  43. Paths of C-Bézier and C-B-spline curves.

  44. Paths of C-Bézier and C-B-spline curves.

  45. Paths of C-Bézier and C-B-spline curves.

  46. Paths of C-Bézier and C-B-spline curves.

  47. Future works. Applying the knots and paths properties into the B-spline fairing

  48. Future works. Simulated annealing http://mathworld.wolfram.com/SimulatedAnnealing.html

  49. Future works. Applying the knots and paths properties into the B-spline fairing

  50. Future works. Applying the knots and paths properties into the B-spline fairing

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