Qingtang Jiang's Publications

Selected Papers (from 1997):

41. C.K.Chui and Q.T.Jiang, Matrix-valued 4-point spline and 3-point non-spline interpolatory curve subdivision schemes , Comput. Aided Geom. Design, 2009. curve_interpolatory.pdf

40. Q.T.Jiang, Orthogonal and biorthogonal FIR hexagonal filter banks with 6-fold symmetry, IEEE Trans. Signal Proc., 52 (2008), 5861-5873. hex_sqrt7_wavelet_6sym.pdf

39. Q.T.Jiang, Compactly supported orthogonal and biorthogonal square-root(5)-refinement wavelets with 4-fold symmetry, IEEE Trans. Image Proc., 17 (2008), 2053-2062. sqrt5_wavelet_4sym.pdf

38. Q.T.Jiang, Hexagonal tight frame filter banks with idealized high-pass filters, Adv. Comput. Math., 2008, in press. Available at SpringerLink.

37. Q.T.Jiang, FIR filter banks for hexagonal data processing, IEEE Trans. Image Proc., 17 (2008), 1512-1521. hex_dyadic_wavelet_3sym.pdf. For an expanded version with more sets of selected parameters, click here.

36. C.K.Chui and Q.T.Jiang, From extension of Loop's approximation scheme to interpolatory subdivisions, Comput. Aided Geom. Design, 25 (2008), 96-115. inter_tri_extra.pdf

35. C.K.Chui, Q.T.Jiang and R.N. Ndao, Triangular sqrt(7) and quadrilateral sqrt(5) subdivision schemes: regular case, J. Math. Anal. Appl., 338 (2008), 1204-1223. sqrt5_7.pdf

34. C.K.Chui, T.X. He and Q.T.Jiang, Fourier transform of BB polynomials on triangles, J. Math. Anal. Appl., 325 (2006), 294-304. FT_BB.ps, FT_BB.pdf

33. C.K.Chui and Q.T.Jiang, Refinable bivariate quartic and quintic C2-splines for quadrilateral subdivisions, J. Comp. Appl. Math. 196 (2006), 402-424. quad_subd.ps, quad_subd.pdf

32. C.K.Chui and Q.T.Jiang, Matrix-valued subdivision schemes for generating surfaces with extraordinary vertices, Comput. Aided Geom. Design 23 (2006), 419-438. extra_vertex3.ps, extra_vertex3.pdf. For an expanded version, click here.

31. C.K.Chui and Q.T.Jiang, Matrix-valued symmetric templates for interpolatory surface subdivisions, I: Regular vertices, Appl. Comput. Honomic Anal. 19 (2005), 303-339. Interp_I.pdf, Interp_I_nofigures.pdf(no figures for the basis functions)

30. C.K.Chui and Q.T.Jiang, Refinable bivariate Quartic C2-splines for multi-level data representation and surface display, Math. of Computation 74 (2005), 1369-1390. C2quar_mc.ps, C2quar_mc.pdf

29. C.K.Chui and Q.T.Jiang, Balanced multiwavelets in $R^s$ , Math. of Computation 74 (2005), 1323-1344. balance_mc.ps, balance_mc.pdf

28. C.K.Chui and Q.T.Jiang, Surface subdivision schemes generated by refinable bivariate spline function vectors , Appl. Comput. Honomic Anal. 15 (2003), 147-162. subd1.ps, subd1.pdf

27. C.K.Chui and Q.T.Jiang, Multivariate balanced vector-valued refinable functions , in "Modern Development in Multivariate Approximation", ISNM 145, V.W. Haussmann, K. Jetter, M. Reimer, and J. St\"ockler (eds.), Birhh\"auser Verlag, Basel, 2003, 71-102. balan1.ps, balan1.pdf

26. R.Q.Jia and Q.T.Jiang, Spectral analysis of the transition operator and its applications to smoothness analysis of wavelets, SIAM J. of Matrix Anal. and Appl. 24 (2003), 1071-1109. sobsmth.ps, sobsmth.pdf

25. Q.T.Jiang, P. Oswald and S.D.Riemenschneider, sqrt(3)-subdivision schemes: maximal sum rule orders, Constr. Approx. 19 (2003), 437-463. jor.ps, jor.pdf

24. Q.T.Jiang and P. Oswald, Triangular sqrt(3)-subdivision schemes: the regular case, J. Comp. Appl. Math. 156 (2003), 47-75. sqrt3.ps, sqrt3.pdf

23. Q.T.Jiang, Parameterizations of masks for tight affine frames with two symmetric/antisymmetric generators, Adv. Comput. Math. 18 (2003), 247-268. aicm.ps, aicm.pdf

22. B. Han and Q.T.Jiang, Multiwavelets on the interval, Appl. Comput. Harmon. Anal. 12 (2002), 100-127. inval.ps, inval.pdf

21. R.Q.Jia, Q.T.Jiang and S.L.Lee, Convergence of cascade algorithms in Sobolev spaces and integrals of wavelets, Numer. Math. 91 (2002), 453-473. jjl.ps, jjl.pdf

20. Q.Jia and Q.T.Jiang, Approximation power of refinable vectors of functions , in "Wavelet Analysis and Applications", Studies Adv. Math. #25, 155-178, Amer. Math. Soc., Providence, RI, 2002. app_power.ps, app_power.pdf

19. Q.T.Jiang, Symmetric paraunitary matrix extension and parametrization of symmetric orthogonal multifilter banks , SIAM J. of Matrix Anal. and Appl. 23 (2001), 167-186. exten.ps, exten.pdf

18. R.Q.Jia, Q.T.Jiang and Z.W.Shen, Convergence of cascade algorithms associated with nonhomogeneous refinement equations, Proc. Amer. Math. Soc. 129 (2001), 415-427. jjs1.ps , jjs1.pdf

17. Q.T.Jiang, Parametrizations of symmetric orthogonal multifilter banks with different filter lengths, Linear Algebra and its Applications 311 (2000), 79-96. para2.ps, para2.pdf

16. R.Q.Jia, Q.T.Jiang and Z.W.Shen, Distributional solutions of nonhomogeneous discrete and continuous refinement equations, SIAM J. of Math. Anal. 32 (2000), 420-434. jjs2.ps, jjs2.pdf

15. S.S.Goh, Q.T.Jiang and T. Xia, Construction of biorthogonal multiwavelets using the lifting scheme, Appl. Comput. Harmon. Anal. 9 (2000), 336-352. blift.ps , blift.pdf (no figures)

14. Q.T.Jiang, Parameterization of M-channel orthogonal multifilter banks, Adv. Comput. Math. 12 (2000), 189-211. para.ps, para.pdf

13. Q.T.Jiang,Multivariate matrix refinable functions with arbitrary matrix dilation, Trans. of Amer. Math. Soc.351 (1999), 2407-2438. arbireg.ps, arbireg.pdf

12. Q.T.Jiang and Z.W.Shen, On existence and weak stability of matrix refinable functions, Constr. Approx.15 (1999), 337-353. exist.ps, exist.pdf

11. T.Xia and Q.T.Jiang Optimal multifilter banks: Design, related symmetric extension transform and application to image compression, IEEE Trans. Signal Proc.47 (1999), 1878-1889. compres.ps , compres.pdf

10. Q.T.Jiang, S.S.Goh and Z.P.Lin, Local discriminant time-frequency atoms for signal classification, Signal Processing 72 (1999), 47-52.

9. Q.T.Jiang, On the regularity of matrix refinable functions, SIAM J. Math. Anal. 29 (1998), 1157-1176. reg.ps, reg.pdf

8. Q.T.Jiang, On the design of multifilter banks and orthonormal multiwavelet bases, IEEE Trans. Signal Proc. 46 (1998), 3292-3303.

7. Q.T.Jiang, Orthogonal multiwavelets with optimum time-frequency resolution, IEEE Trans. Signal Proc., Special Issue on ``Filter banks and wavelets: Theory and applications'', 46 (1998), 830-844. optwtwoc.ps, optwtwoc.pdf

6. Q.T.Jiang, Rotation invariant ambiguity functions, Proc. of Amer. Math. Soc. 126 (1998), 561-567. rot.ps, rot.pdf design.ps, design.pdf

5. Q.T.Jiang, S.S.Goh, N.C.Lim and Z.P.Lin, Selection of initial parameters for signal representation by adaptive wavelets, Optical Engineering 37 (1998), 2613-2619.

4. Q.T.Jiang and L.Z.Peng, Admissible wavelets on the Siegel domain of type one, Sci. China Ser. A 41 (1998), 897-909.

3. Q.T.Jiang, Wavelet transform and orthogonal decomposition of $L^2$ space on the Cartan domain $BDI(q=2)$, Tran. of Amer. Math. Soc. 349 (1997), 2049-2068.

2. Q.T.Jiang and S.L.Lee, Spectral properties of matrix continuous refinement operators, Adv. Comp. Math. 7 (1997), 383-399.

1. Q.T.Jiang and L.Z. Peng, Toeplitz type operators on wavelet subspaces, J. of Math. Anal. and Appl. 207 (1997), 462-474.




Back to My Homepage