PUBLICATIONS OF Xue--Zhang Liang

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1. X.Z. Liang , On the convergence of interpolation polynomials in two variables, (Chinese,Russian summary), Acta Scientiarum Naturalium Universitatis Jilinensis, 1(1963), 579--582.

2. L.K.Zheng and X.Z.Liang, A bivariate interpolation formula defined on certain five point groups, (Chinese, English summary), ibid. ,1(1965), 17--29.

3. X.Z.Liang, On Tchebycheff approximation in several variables(1), (Chinese, English summary), ibid. ,1(1965), 1--14.

4. R.H.Wang and X.Z.Liang, On the theory of Tchebycheff approximation of continuous functions of two variables by certain classes of bivariate polynomials ( Chinese, Russian summary) ,ibid. ,2(1965), 1--10.

5. X.Z.Liang , On the interpolation and approximation in several variables,(Chinese), the Postgraduate thesis fulfilled the requirement for a research student at Jilin University, (1965).

6. M.Y.Huang,L.B.Xu and X.Z.Liang, An analysis of the optical behaviour of the strong electron beam in the electron gun by the digital computer, (Chinese), Journal of Kirin University, Natural Science Edition, 1 (1973), 15--22.

7. X.Z.Liang and C.L.Zhou ,etc., The theoretical computation of the design of the cam in some weighing apparatuses, ( Chinese), ibid. ,4(1976), 49--53.

8. X.Z.Liang, Two-dimensional quartic spline interpolation and the finite element method, ( Chinese ) , ibid. ,1(1978), 85--95.

9. X.Z.Liang, Properly posed nodes for bivariate interpolation and the superposed interpolation, ( Chinese,English summary ),ibid. , 1(1979), 27--32.

10. X.Z.Liang, On Tchebycheff approximation in several variables ( II ), (Chinese, English summary ), ibid. ,2(1979), 9--16

11. X.Z.Liang, On the interpolation and Tchebycheff approximation of several variables, ( Chinese), Numerical Mathematics, a Journal of Chinese Universities, 1(1979), 123--124.

12. X.Z.Liang, The polynomials with least deviation from zero in some multidimensional regions, (Chinese,English summary), Mathematicae Numericae Sinica, V. 1, N. 2 (1979), 189--193.

13. X.Z.Liang and Q.Qiu, On the theoretical computation of the design of the cam, Hengqikeji,2(1980), 18--22.

14. X.Z.Liang and G.Q.Zhu, The method of constructing bivariate osculatory interpolation formula, (English summary), Journal of Mathematical Research & Exposition, 1(1981), 91--100.

15. X.Z.Liang, A note on spline interpolation formulas with higher exactness, (Chinese, English summary),Numerical Mathematics, a Journal of Chinese Universities, 1(1981), 83--87.

16. X.Z.Liang and Y.S.Zhou, Comments on the d --spline functions and the smoothing method, (Chinese),Acta Sci. Natur. Univ. Jilin. , 1(1981), 38--40.

17. X.Z.Liang, A new class of the spline interpolation formulas with the equidistant nodes, (Chinese, English summary), ibid. , 1(1982), 17--25.

18. X.Z.Liang , Y.H.Lu and Z.M.Guan, A mathematical model of the combined mechanism of accentric wheel and driving lever, (Chinese), Hengqikeji, 1(1982), 19--21.¡¡

19. X.Z.Liang, H.Y.Ma and Y.F.He, Concerning the conjugate gradient method and the variable metric method for optimal control problems with bounded control variables, (Chinese, English summary),Journal of the Wuhan College of Geodesy, Photogrammetry and Cartography, 2(1982), 107--114.

20. Y.T.Chang and X.Z.Liang, Boundary interpolation formulae for trangles, (Chinese, English summary) ,Acta Sci. Natur. Univ, Jilin. 1(1984), 1--11.

21. X.Z.Liang and Y.M.Ye, On Kergin interpolation at the points which are zeros of the bivariate polynimial of least deviation from zero on the disk, (English), Northeastern Math. J. 4(1986), 409--414.

22. X.Z.Liang, On Hakopian interpolation in the disk, (English), Approximation Theory and Its Applications, 1(1986),37--45.

23. X.Z.Liang, On the bivariate quartic spline interpolation, (Chinese, English summary ), Acta Sci. Natur. Univ. Jilin. ,4(1987), 19--28.

24. R.H.Wang and X.Z.Liang, Approximation of the Functions in Several Variables, (Chinese ), Science Press, Beijing, China, (1988).

25. X.Z.Liang, Largrange representation of multivariate interpolation, (Chinese),Sciece in China(Ser A), N.9(1988)909-918.

26. X.Z.Liang, Y.S.Zhou,Interpolation,(Chinese), China Great Encyclopaedia--Mathematics, China Great Encyclopaedia Press(1988),47-48.

27. X.Z.Liang, Largrange representation of multivariate interpolation, Sciece in China(Ser A),4(1989), 385--396.(SCI ISI:A1989AB01400001)

28. X.Z.Liang and X.M.Han, On Chebyshev approximation in several variables ( III ), (English),Approximation, Optimization and Computing: Theory and Applications, A.G.Law and C.L.Wang (eds. ), Elsevier Science Publishers B.V. (North--Holland), (1990), 125--128.

29. X.Z.Liang ,Y.T.Chang and Z.X.Luo, Hyperbolic interpolation for one-dimensional minimization, (English), in A Friendly Collection of Mathematical Papers I, R.H.Wang and Y. S.Zhou (eds),Jilin University Press, Changchun, China, (1990), p144--148.

30. X.Z.Liang, On the convergence of Kergin interpolation in the disk, (Chinese), Chinese Annals of Mathematics (Ser.A),3(1990), 41--52.

31. X.Z.Liang and G.R.Jin, Bivariate Spline and Wavelet (Chinese), Proceedings of 1991 Conference of Computational Mathematics(in Tianjin),(1991),P.675.

32. Xue-Zhang Liang and Luo-Qing Li, On bivariate osculatory interpolation, (English), J. Comput. Appl. Math. V.38(1991), 271--282.(SCI ISI:A1991GX44800021, EI:92051280687, ISTP:A1991GX44800021 ). On bivariate osculatory interpolation

33. X.Z.Liang and G.R.Jin, On convergence of Hakopian interpolation (English), Proceedings of a Symposium of the Mathematical Science (in Changchun), Dedicated to the 40--th Anniversary of the Founding of the Department of Mathematics, Jilin University, (1992), 278--280.

34. X.Z.Liang and C.M.Lu, On the geometrical structure of properly posed set of nodes for bivariate Lagrange interpolation, (English ),ibid. , (1992), 281--284.

35. Y.S.Zhou and X.Z.Liang, Numerical Approximation, (Chinese), Jilin University Press, 1992.

36. Z.Y.Wang, Y.G.Shi ,J.S.Tian and X.Z.Liang, Some development and questions of polynomial interpolation ( I ), (Chinese ), Journal of Baoji college of Arts and Sciences(Natural Science),2(1993), 1--28.

37. X.Z.liang,G.R.Jin,H.L.Chen and Y.H.Lu, Bivariate periodic wavelets and its applications, (English), International Symposium on Deep and Regional Geophysics and Geology, Changchun University of Earth Science, Changchun, China (1994), 179--180.

38. Z.Y.Wang,Y.G.Shi,J.S.Tian and X.Z.Liang, Some development and questions of polynomial interpolation ( II ) , (Chinese ), Jouranl of Baoji College of Arts and Sciences (Natural Science),2(1994), 11--23.

39. X.Z.Liang,G.R.Jin and H.L.Chen, Bivariate box-spline wavelets, (English), Harmonic Analysis in China, Kluwer Academic Publishers (1995), 183--196.

40. X.Z.Liang,Y.Dai,J.Xu and Z.F.Wang, Wavelets approximation of the logging curves, (Chinese) Proceedings of 1995 Conference of Computational Marhematics (in Zhengzhou), (1995), P.121.

41. Xue-Zhang Liang and Chun-Mei Lu, On the convergence of Hakopian interpolation and cubature, (English), Journal of Approximation Theory, V.88, N.1 (1997), 28--46.(SCI ISI:A1997WD72100002).( On the convergence of Hakopian interpolation and cubature )

42. X.Z.Liang and M.C.Liu, On the periodization of spline wavelets, (English), Proceedings of 1997 Conference of Computational Mathematics (in Yiantai),

(1997), P.215 .

43. Xue-Zhang Liang and Chun-Mei Lu, On the integral convergence of Kergin interpolation on the disk, (English), J. Compt. Appl. Math. ,V. 95, N. 1-2, (1998),45-63 .(SCI ISI:000075711700004, EI:98094395087). On the integral convergence of Kergin interpolation on the disk

44. X.Z.Liang and C.M.Lu, Properly posed set of nodes for bivariate Lagrange interpolation, (English), Approximation Theory IX , Vol. 2 : Computational Aspect,Vanderbilt University Press, (1998), 189-196 .

45. X.Z.Liang and M.C.Liu, Periodization of spline wavelet and its application to solving integral equations, (Chinese, English summary), Mini-Mcro Systems :Numerical Simulation and Its Software,Vol.19, (1998), 108-119 .

46. S.X.liu and X.Z.Liang, Color image compress using biorthogonal wavelets, (Chinese, English summary), ibid., 120-123 .

47. Q.Li and X.Z.Liang, On bivariate periodic box-spline wavelets, (Chinese, English summary), ibid., 124-132 .

48. X.Z.Liang , M.C.Liu and S.T.Chen, How to get the original discrete approximation for Pyramid Algorithm of multiresolution decomposition, (English), Northeast Math. J., V.15, N.2, (1999),159-172.

49. H.L.Chen, X.Z.Liang, S.L.Peng and S.L.Xiao, Real-valued periodic wavelets: construction and relation with Fourier series, (English), Journal of Computational Mathematics , V.17, N.5, (1999), 509-522 .(SCI ISI:000082771300006).

50. X.Z.Liang, R.Z.Feng and L.H.Cui, Lagrange interpolation on a sphere, (English), Northeast Math. J., V.16, N.2, (2000),243-252.

51. X.Z.Liang and M.C.Liu, Construction of biorthogonal wavelets on the interval, (Chinese, English summary), Numerical Mathemtics, A Journal of Chinese University, V.22, N.4(2000), 341-352 .

52. X.Z.Liang and L.H.Cui, On Lagrange interpolation along an algebraic curve, (Chinese, English summary),Acta Scientiarum Naturalium Universitatis Jilinensis,V.137,N.3(2001),17-20 .

53. Xue-Zhang Liang ,Chun-Mei Lu and Ren-Zhong Feng, Properly posed sets of nodes for multivariate Lagrange interpolation in Cs,( English), SIAM J. Numer. Anal. , V.39, N.2(2001),587-595 .(SCI ISI:000169808700012, EI:02216957013). Properly posed sets of nodes for multivariate Lagrange interpolation in Cs

54. Xue-Zhang Liang , Ming-Cai-Liu and Xiang-Jiu Che, Solving second kind integral equation by Galerkin methods with continuous orthogonal wavelets, (English), J. Comput. Appl. Math. , V.136, N.1-2(2001), 149-161.(SCI ISI:000171167400010, EI:01466730706). Solving second kind integral equations by Galerkin methods with continuous orthogonal wavelets

55. Xue-Zhang Liang and Ming-Cai Liu, On the uniform convergence of Kergin interpolation in the disk,( English),J. Comput.Anal. Appl. V.3, N.4(2001), 281-300 .(SCI ISI:000173335800002). On the Uniform Convergence of Kergin Interpolation on the Disk

56. X.J.Che and X.Z.Liang, G-2 continuity conditions between two patches of

adjacent NURBS surfaces,(Chinese, English summary), J. Jilin Unversity (Science Edition), V.40,N.1(2002),19-23.

57. X.Z.Liang and M.C.Liu, Wavelet-Galerkin methods for second kind integral

equations, (English),International Conference on Wavelet Analysis and Applications, AMS/IP Studies in Advanced Mathematics, V.25(2002), 207-216.

58. X.J.Che,Q.Li, L.H.Cui and X.Z.Liang, The necessary and sufficient GC-1 conditions between two adjacent NURBS surfaces,(Chinese, English summary),

Geometric Design & Computing, V.1(2002), 1-5.

59. X.Z.Liang ,L.H.Cui and J.L.Zhang , Properly posed set of nodes for bivariate Lagrange interpolation along an algebraic curve, Analysis, Combinatorics and Computing ,p.295-304, Tia-Xiao He , Peter J. S. Shiue and Zhongkai Li eds. , Nova Science Publishers , Inc. (2002) .

60. R.Z.Feng and X.Z.Liang , Mean square convergence of Hakopian interpolation on the disk , p185-196, Analysis, Combinatorics and Computing ,Tian-Xiao He, Peter J. S. Shiue and Zhongkai Li eds , Nova Science Publishers, Inc. (2002) .

61. X.J.Che and X.Z.Liang, G-1 continuity condition of B-spline

surfaces, Northeast Math. J., V.18, N.4, 343-352(2002) .

62. X.Z.Liang and L.H.Cui ,( Chinese, English summary ) , Application

of Cayley-Bacharach theorem to the interpolation problem along a plane

algebraic curve ,A Journal of Chinese University .V.25,N.3,261-270,(2003) .

63. J.L.Zhang, X.Z.Liang and H.Q.Sun, The hierarchically weighted 

wavelet image coding based on SPIHT, Proceedings of The International 

Conference on Wavelet Analysis and Its Applications(WAA), V.2, 557-562,

 World Scientific Publishing Company, 2003.EI:03427684333, ISTP:000183540200086.

64. H.Q.Sun, X.Z.Liang and J.L.Zhang , A wavelet-based digital

watermarking algorithm, Proceedings of The International Conference 

on Wavelet Analysis and Its Applications(WAA), V.2, 727-732, Word Scientific 

Publishing Company, 2003.EI:03427684357, ISTP:000183540200112.

65. R.Z.Feng, X.Z.Liang and C.N.Xu, Lagrange interpolation in R-s ,J.

Math. Research and Exposition, V.23, N.3,503-509 (2003).

66. Xue-Zhang Liang, Li-Hong Cui and Jie-Lin Zhang, The application of Cayley-Bacharach 

theorem to bivariate Lagrage interpolation.J. Comput.Appl.Math.,V.163,N.1,

177-187 (2004).(SCI ISI:000188836300015,EI:04068007567, ISTP: 000188836300015 ).

67. X.Z.Liang, X.J.Che and Q.Li, G-2 Continuity conditions for two adjacent B-spline surfaces, Geometric Modeling and Processing 2004, Proceedings:341-344(2004).EI:04408389438, ISTP:000221442500037.

68. J.L.Zhang and X.Z.Liang, A watermarking algorithm of embedding a two-valued image into a still gray image based on wavelet, The Proceedings of the International Computer Congress 2004 on Wavelet Analysis and Its Applications, and Active Media Technology, Vol.1, 248-254(2004). EI:04388358319. ISTP:000222211300037 .

69. X.N.Sun and X.Z.Liang,Image recostruction algorithm based on polynomial approximation on a circular domain, Journal of Jilin University (Science Edition), V.42, N.3, 350-355(2004).

70. X.J.Che and X.Z.Liang, G(1) continuity conditions of two adjacent B-spline surfaces,(Chinese), Mathematica Applicata, V.17, N.3, 410-416(2004).

71. Cui Lihong, Zhang Jielin, Liang Xuezhang, Weighting mean convergence of Kergin interpolation on the desk,Journal of Information and Computation Science, V.1, N.2(2004),253-240.EI:05159039208, The Proceedings of International Symposium on Computing and Information (ISC&I2004),V.1, p.101-105,(2004).ISBN:988-97497-2-6.

72. X.Z.Liang, Z.H.Gao,L.Dai, The Smooth connection algorithm between B-sline patches,The Proceedings of International Symposium on Computing and Information (ISC&I2004),V.1, p.332-336,(2004) .

73. X.Z.Liang, X.N.Sun, A new algorithm for CT based on Hakopian interpolation,Journal of Information and Computation Science, V.1, N.3(2004),141-145.EI:05139014512, The Proceedings of International Symposium on Computing and Information (ISC&I2004),V.1,p.337-341,(2004).ISBN:988-97497-2-6 .

74.L.H.Cui and X.Z.Liang, Research on the problem of trivariate Lagrange interpolation in R3,(Chinese), Journal of Liaoning Normal University(Natural Science Edition),V.27. N.4(2004),392-398.

75. X.N.Sun, X.Z.Liang, Z.L.Dong, and X.J.Tian, Analysis and improvement of Marr's algorithm for image reconstruction, ICARCV 2004¡ªProceedings of the 8 th International Conference on Control, Automation, Robotics and Vision,(2004),p.80-84. EI:05289202985.EI:05159037618. ISTP:000230484500015.

76. X.Z. Liang, J.X.He,X.M.Wang and Q.Li,Wavelet Analysis,(Chinese), National Defence Industry Press,(2005).

77. Q.Li and X.Z.Liang, Periodic orthogonal wavelets defined on parallel hexagon,(Chinese), Journal of Jilin University(Science Edition), V.43, N.2(2005), 142-148.

78. X.N.Sun , X.Z.Liang and B.Liu, A fast algorithm for image reconstruction based on Hakopian interpolation,(Chinese),Progress of Geometric Design and Computing in 2005,(GDC2005),41-42.

79.J.Liu,Z.H.Gao,X.Z.Liang and B.Liu, G2 local deformation of B-spline curve and surface,(Chinese),Progress of Geometric Design and Computing in 2005,(GDC2005) ,125-128.

80. X.J.Che,X.Z.Liang and Q.Li, G1 continuity condition of adjacent NURBS surfaces, Computer Aided Geometric Design, V.22(2005),285-298.(SCI ISI:000228774600001,EI:05169050837).( G1 continuity conditions of adjacent NURBS surfaces )

81.X.Z.Liang and Z.H.Gao,The smooth connection algorithm between B-spline surface patches, Journal of Information & Computational Science, V.2,N.1(2005),69-74.EI:05489517268.

82. Xue-Zhang Liang and Qiang Li, Multivariate Approximation,(Chinese), National Defence Industry Press,(2005).

83. Jia-Ning Sun and Xue-Zhang Liang, New method for fractal image compression based on wavelets,Proceedigs of the 6th International Progress on Wavelet Analysis and Active Media Technology,(2005), Vol.2,p.635-639. ISTP:000231286500095 .

84. Q. Li and X.Z.Liang,Fast algorithms design associated with the periodic wavelets defined on hexagon,Proceedings of the 6th International Progress on Wavelet Analysis and Active Media Technology,(2005), Vol.2,p.703-708. ISTP:000231286500105.

85. Xue-Bing Wen and Xue-Zhang Liang,Several problems in the wavelet-based local CT,Proceedigs of the 6th International Progress on Wavelet Analysis and Active Media Technology,(2005),Vol.3, p.1523-1528. ISTP:000231286500236.

86. Qiang Li and Xuezhang Liang, Bivariate real-valued orthogonal periodic wavelets, Analysis in Theory and Applications, Vol.21, N.3,(2005),p.266-279.

87. H.G.Yang, X.Z.Liang and J.G.Li, G-1 smooth connection of adjacent NURBS surfaces, in: Advances in Information & Computational Science,R.H.Wang, J.Q.Tan (eds),Hefei, Anhui, (2005), pp.212-216.

88. Cui Lihong, Zhang Jielin and Liang Xuezhang, Some researches on weak convergence of Kergin interpolation, Numer. Math., A Jour. Chinese Univ., English Series, V.14,N.4,(2005), pp.340-350.

89. Huogen Yang, Xuezhang Liang, Jinggao Li, G-1 smooth connection of adjacent NURBS surfaces, Journal of Information & Computational Science, V.2, N. 3 (2005), pp.585-589.EI:06109748270.

90. Li Qiang and Liang Xue-Zhang, Bivariate real-valued orthogonal periodic Box-spline wavelets, Northeast. Math. J., V.22,N.1(2006), pp.21-29.

91.Sun Xuenan, Liang Xuezhang and Liu Bo, Fast image reconstruction with Hakopian interpolation,(Chinese),Journal of Computer-Aided Design and Computer Graphics, V.18, N.3(2006), p.451-455.EI:06169831737

92.Liang Xuezhang,Zhang Jielin, Cui Lihong,Multivariate Lagrange interpolation and Cayley-Bacharach theorem,(Chinese), Numer. Math., A Jour. Chinese Univ., V.27(2005),p. 276-281.

93.Lu Xiaohui, Zhao Yiwu, Gao Zhanheng, Liang Xuezhang, Construction of blending surface between two trimmed B-spline surfaces,(Chinese),Numer. Math., A Jour. Chinese Univ., V.27(2005),p.139-142.

94.Liang Xue-Zhang, Zhang Ming, Zhang Jie-Lin and Cui Li-Hong, The dimension of polynomial space and the construction of properly posed set of nodes for Lagrange interpolation on algebraic manifold,(Chinese),Journal of Jilin University(Science Edition),V.44.N.3(2006),p.309-317.

95. Xue-Zhang Liang, Ren-Hong Wang, Li-Hong Cui,Jie-Lin Zhang and Ming Zhang, Some researches on trivariate Lagrange interpolation . , Journal of Computational and Applied Mathematics,Vol.195,N.1-2(2006),pp.192-205. (Some Researches on Trivariate Lagrange Interpolation).|SummaryPlus

| Full Text + Links | PDF (221 K). (SCI. UT ISI:000239258000017,EI: 06269965445, ISTP:000239258000017).

96.Gao Fushun,Gao Zhanheng ,Liang Xuezhang,The construction of lofting surface based on two curves and thier tangent planes, Chinagraph'2006: The Six Congress on Computer Graphics in China, Publishing House of Electronics Industry,(2006),p.20-22.

97.J.N.Sun and X.Z.Liang,Chaotic mapping for watermark generation based on 2D nonlinear Lozi-type chaotic attractors,Dynamics of Continuous Discrete and Impulsive Systems-Series B-Applications & Algorithms, 13E:3511-3515, Part 7,Suppl.S, Dec. 2006, Proceedings of the International Conference on Sensing, Computing and Automation(2006),SN:1492-8760.(ISTP.UT ISTP:000248842800085).

98.Li Jing-Gao, Liang Xue-Zhang,Yang Huo-Gen,Xing Hai-Jun, Local deformation of subdivision curves and surfaces,(Chines),China Computer Federation Proceedings CCFP0003:CAD/CG'2006,(2006), p.220-225.ISBN:7-302-14012-X.

99.Shen Ji-Nan, Liang Xue-Zhang,Zhao Jiang-Wei,An image interpolation algorithm based on fractal and wavelet transform,(Chines),China Computer Federation Proceedings CCFP0003:CAD/CG'2006,(2006), p.255-259.ISBN:7-302-14012-X.

100.Xue-Zhang Liang, Zhan-Heng Gao, Construting the offset surface of a B-spline surface by the near-least square method,(Chines),The proceedings of fourth annual meeting of Jilin province science & technology society,Jilin University Press(2006),p.48-49.ISBN:7-5601-3331-2.

101. J.N. Sun and X.Z. Liang , Mixing watermark generation using principal component coder and spatial recomposition, Proceedings of the international conference 2006 on wavelet active media technology and information processing, V.2.(2006),p.868-873.ISBN:981-270-999-1.(ISTP.UT ISIP:000240252100130).

102. X.B. Wen, X.Z. Liang, Y.N. Han and J.N. Ji, Mammographic image enhancement and denoising based on redundant wavelet transform, Proceedings of the international conference 2006 on wavelet active media technology and information processing, V.2. (2006) , p. 880-885 . ISBN: 981-270-999-1 .(ISTP.UT ISIP:000240252100132).

103. J.W. Zhao, X.Z. Liang and X.B. Wen, A wavelet-based watermarking algorithm for digital image protection, Proceedings of the international conference 2006 on wavelet active media technology and information processing, V.2. (2006) , p. 886-891 . ISBN: 981-270-999-1 .(ISTP.UT ISIP:000240252100133).

104.Zhanheng Gao and Xuezhang Liang ,Constructing G1 continuous surfaces to approximate scan line data , Journal of Information & Computational Science, V.3, N.4 (2006), p.721¨C726 .(EI:071610557005).

105.Huogen Yang,Xuezhang Liang, Xiangjiu Che and Qinghua Jiang,G1 smooth NURBS surfaces with n-patch corner, Journal of Information & Computational Science, V.3, N.3 (2006), p.589¨C593 .(EI:070710427872).

106.Qiang Li, Litao Su,and Xuezhang Liang, An implementation offast algorithms for biorthogonal periodic interpolatory wavelets,Journal of Information & Computational Science, V.4, N.2 (2007),p.545-551.(EI:073410776119).

107.Huogen Yang,Xuezhang Liang,Jinggao Li and Zhanheng Gao,The construction of G-1 smooth NURBS surfaces over arbitrary topology type,Journal of Information & Computational Science, V.4, N.1 (2007),p.347-351. (EI:073310766443).

108.Xuebing Wen,Xuezhang Liang and Jielin Zhang,A new algorithm for enhancing the contrast of finger-vein image,Journal of Information & Computational Science, V.3, N.4 (2006),p.929-934.(EI:071610557028).

109.Jielin Zhang, Xuezhang Liang and Lihong Cui, Some researches on multivariate Lagrange interpolation along the sufficiently intersected algebraic manifold, Applicable Analysis: An International Journal, V.86, N.6 (2007),p.669-685.(SCI. UT ISI:000249246000002, DOI: 10.1080/00036810701303976).

110.Gao Zhanheng, liang Xuezhang, Gao Fushun, Ma Ting, Research on G1 continuity conditions between B-spline surfaces and construction of local scheme,Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao/Journal of Computer-Aided Design and Computer Graphics, v 19, n 7, July, (2007), p 866-870 .(EI:073110727387).

111.Ma Ting, Liang Xuezhang, Xue Yaohong , Zhao Yiwu, A fast and easy display method for point cloud data, (Chinese), EGVR2007,p.31, Publishing House of Electronics Industry,Beijing,(2007),ISBN 978-7-121-04081-8.

112.Gao Zhanheng, Liang Xuezhang, Zhao Yiwu, Some improvements of least squares method presented by Piegl and Tiller,(Chinese), EGVR2007 ,p.57-60, Publishing House of Electronics Industry,Beijing,(2007),ISBN 978-7-121-04081-8.

113.Du Xinwei, Liang Xuezhang, Yang Xiaoying, A method of realizing smooth blending of quadratic surfaces, (Chinese), Progress of Geoometric Design and Computing in China 2007, GDC'2007, p.76-79, Publishing House of Electronics Industry,Beijing,(2007),ISBN 978-7-121-04611-7.

114.Zhang Ming,Wu Tieru, Liang Xuezhang, A property of the basis for T-splines, (Chinese),Progress of Geoometric Design and Computing in China 2007, GDC'2007, p.87-92, Publishing House of Electronics Industry,Beijing,(2007),ISBN 978-7-121-04611-7.

115.Zhang Dinglin, Liang Xuezhang, Gao Zhanheng, Xing Haijun, Fast algorithm for triangulation of scattered data on surface, (Chinese),Progress of Geoometric Design and Computing in China 2007, GDC'2007, p.135-139, Publishing House of Electronics Industry,Beijing,(2007),ISBN 978-7-121-04611-7.

116.Xuezhang Liang,Renzhong Feng, Xuenan Sun, Weighted mean convergence of Hakopian interpolation on the disk, Analysis in Theory and Applications,V.23, N.3 (2007),p.213-227.DOI:10.1007/s10496-007-0213-7.

117.Gao Zhanheng, Liang Xuezhang, Zhao Yiwu, Local schemes for constructing a smooth surface of bi-cubic B-spline surfaces with internal multiple knots,(Chinese), The Proceedings of The 3rd Jiont Conference on Harmonious Human Machine Environment(HHME2007),p.302-308,2007,Jinan,Shandong,China.

118.Sun JN, Liang XZ, Li Q, Arroyo E,
2D chaotic watermark generation based on wavelet transform and bivariate logistic model
International Conference on Complex Systems and Applications, JUN 08-10, 2007
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS 14: 421-425, Part 1 Suppl. S AUG 2007.(ISTP. UT ISIP:000251078400097).

119.Gao Fushun, Zhang Dinlin, Liang Xuezhang, A region-growing algorithm for triangular mesh surface reconstruction from point-cloud data.(Chinese),Journal of Jilin University(Science Edition),V.46,N.3(2008),413-417.

120.Wen Xue-Bing,Zhao Jiang-wei, Liang Xue-zhang, Image enhancement of finger-vein pattern based on wavelet denoising and histogram template equalization.(Chinese),Journal of Jilin University(Science Edition),V.46,N.2(2008),291-292.

121.Xue Yao-Hong,Liang Xue-Zhang, Ma Ting, An automatic registration method of scanning point clouds,(Chinese),CAD/CG'2008 ,P.306-310,(2008). Publishing House of Electronics Industry.ISBN 978-7-121-07087-7.

122.Liang Xue-Zhang, Xue Yao-Hong, A method to fitting data clouds using Loop subdivision surface,(Chinese),CAD/CG'2008 ,P.311-315,(2008)

123. Wang Shu-Yun, Liang Xue-Zhang, Sun Yi, Linear Summation of double Fourier series on a parallel hexagon domain,(Chinese), J. Jilin Univ.(Science Edition),V0l.46,N0.5(2008),816-824.

124.Ma Ting, Liang Xuezhang, Xue Yaohong ,Liang Ying, A fast and easy display method for point cloud data, (Chinese), EGVR2008,p.126-130(2008).

125.Wang Shu-Yun, Liang Xue-Zhang,Fu Yao and Sun Xue-Nan, Convergence properties of generalized Fourier series on a parallel hexagon domain, Communications in Mathematical Research,Vol.25,No.2(2009),104-114.

126.Xue-Zhang Liang and Ming Zhang,.On Hermite interpolation on the sphere.,(Chinese), Mathematicae Numericae Sinica,V.31.No.4(2009),407-418.

127.Xue-Zhang Liang and Ming Zhang, On Lagrange and Hermite interpolation along algebraic manifold,.International Journal of Mathematics and Computation,Vol.2,No.M09,(March 2009),43-59.

128.Xue-Zhang Liang and Ming Zhang, A kind of Lagrange interpolation on the sphere, 2009 World Congress on Computer Science and information Engineering CSIE 2009,Vol.4(2009),96-100,Los Angeles,California USA.

129.Xue-Zhang Liang,Jie-Lin Zhang, Ming Zhang, Li-Hong Cui , Superposition interpolation process in Cn, Applied Mathematics and Computation, Vol.215, Issue 1 (2009),227-234.(SCI) .DOI:10.1016/j.amc.2009.04.079.

130. LIANG Xue-zhang, XUE Yao-hong, LI Qiang , Application of Loop Subdivision Wavelet Frames toª¤the Compression of 3D Graphics,(Chinese) , J. Jilin Univ.(Science Edition),V0l.47,N0.5(2009),986-993.

131. DU Xin-wei, YANG Xiao-ying, LIANG Xue-zhang,ª¬A Multi-scale Approach to 3D Scattered Data Interpolationª¤Based on Radial Basis Function,(Chinese), J. Jilin Univ.(Science Edition),V0l.47,N0.5(2009),1039-1041.

132. SUN Xuenan , L IANG Xuezhang , FU Yao, A new method for soloving Marr expansion coefficient,(Chinese), Journal of Northeast Normal University (Natural Science Edition), Vol.41,No.1, 31-34(2009).

133.Liang Xuezhang, Selections from Mathematical Works of Professor LIANG XUEZHANG,Jilin University Press, Changchun, P. R. China, November 2009.

134.Cheng Li-bo, Sun Jia-ning, Liang Xue-zhang, Wen Xue-bing, Refinable function vectors with Hermite interpolating property,(Chinese), J. Jilin Univ.(Science Edition),Vol.47,No.6(2009),1155-1159.

135.Gao Fu-shun, Gao Zhan-heng, Liang Xue-zhang, Filling hole algorithm in triangle mesh,(Chinese), J.Jilin Univ.(Science Edition), Vol.47,No.6(2009),1182-1184.

136.Liang Xuezhang, Xue Yaohong, Liang Ying, A method to fitting data clouds using Loop subdivision surface,(Chinese), Jouenal of Engineering Graphics, V.30,N.6(2009),91-97.

137.Liang Xue-zhang,Xue Yao-hong,Li Qiang, Che Xiang-jiu, Applications of Loop subdivision wavelet frames to transmission and denoising of graphics,(Chinese), Computer Engineering and Applications,V.46,N.1(2010),169-172,176.

138.Yao-Hong Xue,Hong Liu,Zhong-Yuan Lu,and Xue-Zhang Liang, Layered structure in compatible binary polymer brushes with high graft density: A computer simulation study, The Journal of Chemical Physics 132.044903£¨1-7£©(2010).

139.DU Xin-wei, YANG Xiao-ying, LIANG Xue-zhang,ª¬Implicit Fitting of Point Cloud Data via Radial Basis Functions, J. Jilin Univ.(Sciene Edition),V0l.48,N0.1(2010),157-162.

140. Zhang JL, Liang XZ, Cui LH£¬ The properly posed set of nodes of multivariate Lagrange interpolation along algebraic manifold £¬ APPLICABLE ANALYSIS£¬V. 89   N. 3( 2010) 293-305 .

141. Sun J N, Liang X Z, Li Q, Construction of multivariate interpolating refinable function vectors of type (M;R), (in Chinese), Sci Sin Math, Vol. 40(7) (2010), 709-722.

142£®Wen, Xue-Bing and Liang, Xue-Zhang , Research on enhancing human finger vein pattern characteristics based on adjacent node threshold image method, Proceedings - 5th International Conference on Frontier of Computer Science and Technology, FCST 2010, p 552-556, (2010).

143. Xue-Zhang Liang, Yao-Hong Xue and Qiang Li, Some applications of Loop subdivision wavelet tight frames to the processing of 3D graphics, Visual Computer, Vol.27,N.1(2011),35-43.

144. Ming Zhang and Xue-Zhang Liang£¬On a Hermite interpolation on the sphere, Applied Numerical Mathematics, V.61,N.5 (2011), pp. 666-674.

145.Xue Yaohong, Liang Xuezhang, Ma Ting, Liang Ying, and Che Xiangjiu, An automatic registration method of scanned point clouds,(in Chinese), Journal of Computer-Aided Design & Computer Graphics, Vol.23, No.2 (2011), 223-231.

146. YAOHONG XUE, XUEZHANG LIANG and QIANG LI £¬ CONSTRUCTION AND APPLICATIONS OF BIORTHOGONAL TERNARY LOOP SUBDIVISION WAVELETS

International Journal of Wavelets, Multiresolution and Information Processing (IJWMIP) £¬Volume: 9, Issue: 4 ( 2011)£¬ Page: 531-548£¬DOI No: 10.1142/S0219691311004201 ¡£

147.Zhang Ming, Liang Xuezhang, Zhang Huijie, Che Xiangjiu, Lagrange interpolation on the sphere, Numerical Mathematics, a Journal of Chinese Universities,

Vol.33,No.2,(2011),169-177.

148£®Yi-Wu Zhao,Yan Lou,Qiang Li,Yang Zhan,Xue-Zhang Liang, Multi-band subdivision algorithm of regular vertices of triangular mesh,Journal of Jilin University

(Science Edition),V.51.N.5(2013),p.795-801.

149. Yang Zhang,Xue-Zhang Liang,Qiang Li, A further research on the convergence of Wu-Schaback¡¯s multi-quadric quasi-interpolation,J. Appl. Computat. Math.,2013,2-4. http://dx.doi:org/10.4172/2168-9679.1000138.

150.Yi-Wu Zhao,Xue-Zhang Liang,Qiang Li,The analysis of C1 regularity of ternary Loop subdivision surface (in Chinese),Sci.Sin.Math,V.44.N.7(2014),p.787-798. doi: 10.1360/N012013-00154.

151.Ying Liang, Xue-Zhang Liang and Dan-Dan Jia,A method of estimating Gini index from grouped data,2014 International Conference on Humanity and Social Science (ICHSS 2014) ISBN: 978-1-60595-195-9,p.255-258.

152.Zhi-Ying Lv,Tian-Min Huang,Li-Wei Zheng and Xue-Zhang Liang, Consistency and correction of trapezoidal fuzzy number reciprocal judgment matrix,Kongzhi yu Juece/Control and Decision, V.29,N.12(2014),p.2207-2211.(EI).

153.Zhi-Ying Lv,Tian-Min Huang,and Xue-Zhang Liang, A method for fuzzy multi-attribute decision-making with preference to attribute, CAAI Transactions on Intelligent Systems,V.10,N.2(2015),p.227-233.

154£®Liang Xue- Zhang, Li Qiang, Liu Chang. Lagrange interpolation on the conical surface (in Chinese). Sci Sin Math, 2015, 45: 1573-1582, doi: 10.1360/N012015-00047

155.Ying Liang, Jiaxu Zhang, Dandan Jia, Kungui Zhang, Qiang Li and Xuezhang Liang, Estimating Lorenz curve of income in China by cubic spline interpolation,Research & Reviews : Journal of Statistics and Mathematical Science,V.1,N.2 ( 2015 ), p.36-39.

156.Ying Liang and Xuezhang Liang, Approximating Lorenz curve by piecewise quadratic polynomial, The Frontiers in Economic and Management Research,Vol.3,( 2016 ), p. 96-105.

157.Zhi-Ying Lv, Xi-Nong Liang, Xue-Zhang Liang and Li-Wei Zheng, A fuzzy multiple attribute decision making method based on possibility degree,2015 12^th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2015),p.450-454,2016.(EI).

158.Lv Zhi-Ying, Zheng Li-Wei, Liang Xi-Nong and Liang Xue-Zhang, A fuzzy multiple attribute decision making method based on possibility degree, Journal of Intellent & Fuzzy Systems, V.31, N.2 (2016), p.787-794.DOI:10.3233/JIFS.169010.(SCI).

159.Ying Liang, Han Yang, Jia-xu Zhang, Qiang Li and Xue-zhang Liang, Estimating Lorenz curve of income by cubic spline with multiple knots,2016 International Conference on Computational Modeling, Simulation and Applied Mathematics (CMSAM 2016),p.329- 335.(ISTP).

160. Ying Liang,Dan-Dan Jia,Qiang Li, Xue-Zhang Liang, Lorenz curve approximation based on cubic Hermite interpolation and linear programming,(Chinese), Statistics and Decision,N.8(2017),p.67-70.

161.Ying Liang, Han Yang, Qiang Li,and Xue-Zhang Liang, The convexity preserving approximation of Lorenz curve by cubic spline with multiple knots,The Proceeding of Tenth National Conference on Geometric Design and Computation (GDC2017),Yantai,China,August 2017, P.142-148.

162.Xuenan Sun, Xuezhang Liang,Fast and exact 2d image reconstruction based on Hakopian interpolation, Applied Numerical Mathematics, V.121, p.185-197, November 2017.

163.Yang Han, Li Qiang and Liang Xue-Zhang, Quartic spline approximation of a circle by piecewise Bezier curves with high smoothness and accuracy,

ACM International Conference Proceeding Series, October 22,2018, Hohot, Proceedings of 2^nd International Conference on Computer Science and

Application Engineering, CSAE 2018, Article No.:68.DOI:10.1145/3207667.3278015.

164.Liang Ying, Yang Han, Li qiang and Liang Xue-Zhang, Lorenz curve approximation method based on linear programming and cubic spline with multiple knots, Statistics and Decision,N0,7 ( 2019 ), p.9-12.DOI:10.13546/j.cnki.tjyjc.2019.07.002.