Normal multiresolution approximation of curves

Constructive Approximation

Volumn 20, Issue 3, 2004, Pages 399-463

  Daubechies, Ingrid ^a   Runborg, Olof ^b   Sweldens, Wim ^c  

^a PRINCETON UNIVERSITY   (United States)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^c LUCENT TECHNOLOGIES   (United States)

Author keywords

Lifting; Normal mesh; Normal multiresolution; Subdivision; Wavelet

Indexed keywords

EID: 7444252189     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00365-003-0543-4     Document Type: Article

References (20)

1. A. S. CAVARETTA, W. DAHMEN, C. A. MECHELLI (1991): Stationary subdivision. Mem. Amer. Math. Soc., 93(453).
2. I. DAUBECHIES, I. GUSKOV, W. SWELDENS (1999): Regularity of irregular subdivision. Constr. Approx., 15:381-426.
3. I. DAUBECHIES, J.C. LAGARIAS (1991); Two-scale defference equations I. Existence and global regularity of solutions. SIAM J. Math. Anal., 22(5): 1388-1410.
4. I. DAUBECHIES, J. C. LAGARIAS (1992): Two-scale difference equations II. Local regularity, infinite products of matrices and fractals. SIAM J. Math. Anal., 23(4): 1031-1079.
5. G. DESLAURIERS, S. DUBUC (1989): Symmetric iterative interpolation processes. Constr. Approx., 5(1):49-68.
6. N. DYN, J. GREGORY, D. LEVIN (1991): Analysis of uniform binary subdivision schemes for curve design. Constr. Approx., 7:127-147.
7. N. DYN, D. LEVIN, J. GREGORY (1987): A 4-point interpolatory subdivision scheme for curve design. Comput. Aided Geom. Design, 4:257-268.
8. A. FINKELSTEIN, D. H. SALESIN (1994): Multiresolution curves. In: Computer Graphics (SIGGRAPH 94 Proceedings). New York: ACM Press, pp. 261-268.
9. D. R. FORSEY, R. H. BARTELS (1988): Hierarchical B-spline refinement. In: Computer Graphics (SIGGRAPH' 88 Proceedings). Vol. 22. New York: ACM Press, pp. 205-212.
10. S. J. GORTLER, M. F. COHEN (1995): Hierarchical and variational geometric modeling with wavelets. In: Proceedings Symposium on Interactive 3D Graphics, Monterey, CA. Siggraph. New York: ACM Press.
11. I. GUSKOV, K. VIDIMČE, W. SWELDENS, P. SCHRÖDER (2000): Normal meshes. In: Computer Graphics (SIGGRAPH '00 Proceedings). New York: ACM Press, pp. 259-268.
12. M. JANSEN, R. BARANIUK, S. LAVU (in preparation): Multiscale approximation of piecewise smooth functions, using normal offsets.
13. A. KHODAKOVSKY, I. GUSKOV (2003): Normal mesh compression. In: Geometric Modeling for Scientific Visualization (G. Brinnet, B. Hamann, H. Müller, eds.). New York: Springer-Verlag. http://www.multires.caltech.edu/pubs/.
14. A. KHODAKOVSKY, P. SCHRÖDER, W. SWELDENS (2000): Progressive geometry compression. In: Computer Graphics (SIGGRAPH '00 Proceedings). New York: ACM Press, pp. 271-278.
15. F. KUUT.R. VAN DAMME (1999): Monotonicity preserving interpolatory subdivision schemes. J. Comput. Appl. Math., 101(1-2):203-229.
16. M. LOUNSBERY, T. D. DEROSE, J. WARREN (1997): Multiresolution surfaces of arbitrary topological type. ACM Trans. Graphics, 16(1):34-73.
17. O. RUNBORG (in preparation): Weakly contractive subdivision schemes.
18. W. SWELDENS (1997): The lifting scheme: A construction of second generation wavelets. SIAM J. Math. Anal., 29(2):511-546.
19. R. VAN DAMME (2000): Personal communication.
20. D. ZORIN, P. SCHRÖDER, W. SWELDENS (1997): Interactive multiresolution mesh editing. In: Computer Graphics (SIGGRAPH '97 Proceedings). New York: ACM Press, pp. 259-268.