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Approximate merging of two curves

Approximate merging of two curves. Speaker: Jun Chen Nov. 28, 2007. References. Approximate merging of a pair of Bezier curves Shi-Min Hu, Ruo-Feng Tong, Tao Ju, Jia-Guang Sun

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Approximate merging of two curves

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  1. Approximate merging of two curves Speaker: Jun Chen Nov. 28, 2007

  2. References Approximate merging of a pair of Bezier curves Shi-Min Hu, Ruo-Feng Tong, Tao Ju, Jia-Guang Sun (CAD,2001)

  3. Results of “merging”

  4. Results of “merging”

  5. Background Approximate conversion of spline curves. Josef Hoschek (CAGD 1987) • Reducing the amount of communicating data: • 1.Degree reduction • 2.Merging

  6. Background Approximate conversion of spline curves. Josef Hoschek (CAGD 1987)

  7. Perturbation in degree reduction

  8. Perturbation in degree reduction

  9. Precise merging

  10. Perturbation

  11. Perturbation

  12. Method (1)

  13. Method (2)

  14. Matching endpoints and derivatives

  15. Merging with points constraints

  16. Degree elevation(?)

  17. Remarks ?

  18. Future work

  19. Merging & degree reduction Perturbation Degree reduction Merging

  20. 降阶:一条低阶曲线逼近一条高阶曲线,附带端点的插值条件。降阶:一条低阶曲线逼近一条高阶曲线,附带端点的插值条件。 • 合并:一条高阶曲线逼近两条低阶曲线,附带端点的插值条件。

  21. New method(郭,2005)

  22. Key points

  23. Merging a Pair of Disk Bezier Curves (陈发来,2004)

  24. Precise merging

  25. Something different

  26. Methed (Linear programming)

  27. References Approximate merging of B-spline curves via knot adjustment and constrained optimization Chiew-Lan Tai, Shi-Min Hu, Qi-Xing Huang (CAD,2003)

  28. Hong Kong University of Science and Technology • Geometric modeling, computer graphics, and graphics recognition.

  29. Problem

  30. Precise merging

  31. ?

  32. Knot adjustment

  33. Error estimation and examples

  34. Future work • Squared difference integral norm • 3次,且G2连续(梁清清,2006)

  35. Thank you!

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