Qingtang Jiang's Publications

Selected Papers (from 1997):

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. of 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. on 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, Orthogonal multiwavelets with optimum time-frequency resolution, IEEE Trans. on Signal Proc., Special Issue on ``Filter banks and wavelets: Theory and applications'', 46 (1998), 830-844. optwtwoc.ps, optwtwoc.pdf

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

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




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