참고문헌
- A. Cohen, I. Daubechies and J. C. Feauveau, Biorthogonal bases of compactly supported wavelets, Comm. Pure Appl. Math., 45 (1992), 485–560 https://doi.org/10.1002/cpa.3160450502
- S. Choi, B. Lee, and Y. Lee, J. Yoon, Stationary Subdivision Schemes Reproducing Poly- nomials, Comp. Aided Geom. Design, 23, (2006), 351-360. https://doi.org/10.1016/j.cagd.2006.01.003
- C.K. CHUI and J. Z. Wang, A Cardinal Spline Approach to Wavelets, Proc. Amer. Math. Soc., 113 (1991), 785-793. https://doi.org/10.1090/S0002-9939-1991-1077784-X
- C.K. CHUI and J. Z. Wang, A General Framework of Compactly Supported Splines and Wavelets, J. Approx. Theory, 75 (1992), 903-915.
- I. DAUBECHIES, Orthogonal Bases of Compactely Supported Wavelets, Comm. Pure Appl. Math.,41(1998), 909-996 https://doi.org/10.1002/cpa.3160410705
- I. Daubechies, "Ten Lectures on Wavelets," CBMS-NSF series in Applied Mathematics, SIAM, Philadelphia, 1992.
- G. DESLAURIERS AND S. DUBUC, Symmetric Iterative interpolation, Constr. Approx. 5 (1989), 49-68. https://doi.org/10.1007/BF01889598
- B. DONG and Z. SHEN, Construction of biorthogonal wavelets from pseudo-splines, J. Approx. Theory, 138 (2006), 211-231. https://doi.org/10.1016/j.jat.2005.11.008
- N. DYN, Subdivision Schemes in Computer-Aided Geometric Design, Advances in Numer-ical Analysis Vol. II: Wavelets, Subdivision Algorithms and Radial Basis Functions (W.A.Light ed.), Oxford University Press, (1992), 36-104.
- H. KIM, R. KIM, Y. LEE and J. YOON, Quasi-Interpolatory Refinable Functions and Contruction of Biorthogonal, Wavelet Systems, Research Report Series 06-13 of KAIST (2006); available at http://amath.kaist.ac.kr/InKorean/preprints.htm
- S. MALLAT, Multiresoulutional approximation and wavelets, Trans. Amer. Math. Soc. 315 69-88.
- P. G. LEMARIE-RIEUSSET, On the existence of compactly supported dual wavelets, Appl. Comut. Harmon. Anal. 3 (1997), 117-118.
- D. WEI, J. TIAN, R. O. WELLS, JR., C. S. BURRUS, New Class of Biorthogonal Wavelet Systems for Image Transform Coding, IEEE Trans. on Image Proc. 7, (1998), 1000-1013. https://doi.org/10.1109/83.701157