1. A Family of Subdivision Scheme with Cubic Precision
written by Kai Hormann, Malcolm Sabin
presentationed by Lee, Yeon Ju

2. Contents Intoduction –subdivision scheme The Family Support
Holder Regularity
Response to Polynomial Data
Artifact Behavior
Summary
The 11th KMMCS
Ewha W. Univ.

3. Subdivision scheme
Useful method to construct smooth curves and surfaces in CAGD
The rule :
The 11th KMMCS
Ewha W. Univ.

4. The 11th KMMCS
Ewha W. Univ.

5. A Family
The 11th KMMCS
Ewha W. Univ.

7. Support

8. Support
The 11th KMMCS
Ewha W. Univ.

9. Holder Regularity
The 11th KMMCS
Ewha W. Univ.

12. Response to Polynomial Data
For all polynomials up to a certain degree, the limit curve
(1) is the same polynomial,
=> Reproduction degree
(2) is a polynomial of the same degree and with the same leading term,
=> Generation degree
(3) passes through the original control points
=> Interpolation degree
The 11th KMMCS
Ewha W. Univ.

13. Response to Polynomial Data
The 11th KMMCS
Ewha W. Univ.

14. Artifact Behavior
The 11th KMMCS
Ewha W. Univ.

16. Summary

18. L
Mask Set of S L 1 2 3 4 5