References
- J. Deng, F. Chen, and Y. Feng, "Dimensions of spline spaces over T-meshes", Journal of Computational and Applied Mathematics, 194, 2006, pp. 267-283. https://doi.org/10.1016/j.cam.2005.07.009
- J. Deng, F. Chen, X. Li, C. Hu, W. Tong, Z. Yang, and Y. Feng, "Polynomial splines over hierarchical T-meshes", Graphical Models, 70, 2008, pp. 76-86. https://doi.org/10.1016/j.gmod.2008.03.001
- J. Deng, F. Chen, and L. Jin, "Dimensions of biquadratic spline spaces over T-meshes", Preprint, arXiv: math. NA/0804.2533, 29pages.
- M. Eck, T. DeRose, T. Duchamp, H. Hoppe, M. Lounsbery, and W. Stuetzle, "Multiresolution analysis of arbitrary meshes", in SIGGRAPH 95 Proceedings, New York: ACM Press, 1995, pp. 173-182.
- G. Farin, Curves and Surfaces for CAGD-A Practical Guide, 5th ed. Morgan Kaufmann Publishers, 2002.
- M. S. Floater and K. Hormann, "Surface parameterization: A tutorial and survey", in Advances in Multiresolution for Geometric Modelling, N. A. Dodgson, M. S. Floater , and M. A. Sabin, Eds. Springer-Verlag, 2004, pp. 157-186.
- D. R. Forsey and R. H. Bartels, "Hierarchical B-spline refinement", Computer Graphics, 22(4), 1988, pp. 205-212. https://doi.org/10.1145/378456.378512
- Z. Huang, J. Deng, Y. Feng, and F. Chen, "New proof of dimension formula of spline spaces over T-meshes via smoothing cofactors", Journal of Computational Mathematics, 24(4), 2006, pp. 501-514.
- R. Kraft, "Adaptive and linearly independent multilevel Bsplines", in Surface Fitting and Multiresolution Methods, A. L. Mehaute, C. Rabut, and L. L. Schumaker, Eds. Nashville: Vanderbilt University Press, 1998, pp. 209-218.
- L. Piegl and W. Tiller, The NURBS Book, 2nd ed. New York: Springer-Verlag, 1997.
- T. W. Sederberg, J. Zheng, A. Bakenov, and A. Nasri, "Tsplines and T-NURCCs", ACM Transactions on Graphics, 22(3), 2003, pp. 161-172.
- T. W. Sederberg, D. L. Cardon, G. T. Finnigan, N. S. North, J. Zheng, and T. Lyche, "T-spline simplification and local refinement", ACM Transactions on Graphics, 23(3), 2004, pp. 276-283. https://doi.org/10.1145/1015706.1015715