# zbMATH — the first resource for mathematics

## Chui, Charles Kam-tai

Compute Distance To:
 Author ID: chui.charles-k Published as: Chi, Charles K.; Chui, C. K-T.; Chui, C. K.; Chui, C. K.-T.; Chui, Ch. K.; Chui, Charles; Chui, Charles K. External Links: MGP · dblp · GND
 Documents Indexed: 323 Publications since 1967, including 33 Books Reviewing Activity: 44 Reviews Biographic References: 1 Publication
all top 5

#### Co-Authors

 31 single-authored 40 Ward, Joseph Dinneen 37 Smith, Philip W. 23 Shi, Xianliang 18 Stöckler, Joachim 17 Schumaker, Larry L. 16 Chen, Guanrong 14 He, Tianxiao 14 Wang, Jianzhong 14 Wang, Renhong 13 Mhaskar, Hrushikesh N. 12 Ching, Chin’Hung 12 Jiang, Qingtang 10 Diamond, Harvey 10 Lai, Mingjun 9 Li, Xin 8 Chan, Andrew K. 8 He, Wenjie 7 Borosh, Itshak 7 Shen, Xiechang 6 Lian, Jian’ao 6 Raphael, Louise A. 5 Bittner, Kai 5 De Villiers, Johan Marthinus 4 Hong, Dong 4 Li, Chun 4 Sun, Qiyu 4 Zhong, Lefan 3 Allen, G. Donald 3 Jetter, Kurt 3 Madych, Wally R. 3 Narcowich, Francis J. 3 Parnes, Milton N. 3 Zhuang, Xiaosheng 2 Barrow, David L. 2 Beatson, Rick K. 2 Chen, Hanlin 2 Deutsch, Frank 2 Goswami, Jaideva C. 2 Hasson, Maurice 2 Hsu, Leetsch Charles 2 Liu, Steve J. 2 Rozema, Edward R. 2 Shisha, Oved 2 Van der Walt, Maria D. 1 Blakley, G. R. 1 Buhmann, Martin Dietrich 1 Chan, Kabo 1 Charina, Maria 1 Cheney, Elliott Ward jun. 1 Cheng, Zhengxing 1 Chui, Herman C. 1 Czaja, Wojciech 1 Erdős, Pál 1 Filbir, Frank-Dieter 1 Franchetti, Carlo 1 Green, Robert E. 1 Gruberger, Nira 1 Han, Bin 1 Han, Ningning 1 Hecklin, Gero 1 Holland, Anthony S. B. 1 Hong, Lang 1 Hu, Yingsheng 1 Jetter, K. 1 Jia, Ron-Qing 1 Korevaar, Jacob 1 Lai, Hang-Chin 1 Legg, David A. 1 Levin, David N. 1 Lin, Shaobo 1 Lin, Yuting 1 Lorentz, Georg Gunther 1 Maggioni, Mauro 1 Mao, Yaobin 1 Micchelli, Charles A. 1 Montefusco, Laura Bacchelli 1 Ndao, Rokhaya N. 1 Neamtu, Marian 1 Nürnberger, Günther 1 Prestin, Jurgen 1 Puccio, Luigia 1 Quak, Ewald G. 1 Rahman, Qazi Ibadur 1 Roberts, George A. 1 Ron, Amos 1 Sahney, Badri Narayan 1 Schempp, Walter Johannes 1 Smith, Roger R. 1 Smith, William W. 1 Su, Liying 1 Utreras, Florencio I. 1 Weiss, Guido L. 1 Wu, Hau-Tieng 1 Wu, Shuntang 1 Yu, Yaoqi 1 Zeilfelder, Frank 1 Zeller, Karl Longin 1 Zhou, Dingxuan
all top 5

#### Serials

 33 Journal of Approximation Theory 29 Applied and Computational Harmonic Analysis 15 Mathematics of Computation 12 Proceedings of the American Mathematical Society 11 Journal of Mathematical Analysis and Applications 10 Approximation Theory and its Applications 9 SIAM Journal on Mathematical Analysis 8 Advances in Computational Mathematics 7 Transactions of the American Mathematical Society 6 Computer Aided Geometric Design 6 Springer Series in Information Sciences 5 Bulletin of the Australian Mathematical Society 5 Journal of Computational and Applied Mathematics 5 Constructive Approximation 5 The Journal of Fourier Analysis and Applications 3 Mathematische Zeitschrift 3 Numerische Mathematik 3 Pacific Journal of Mathematics 3 SIAM Journal on Numerical Analysis 3 Journal of Mathematical Research & Exposition 3 IEEE Transactions on Acoustics, Speech, and Signal Processing 3 Bulletin of the American Mathematical Society 3 GEM - International Journal on Geomathematics 2 Rocky Mountain Journal of Mathematics 2 IEEE Transactions on Automatic Control 2 Illinois Journal of Mathematics 2 SIAM Journal on Control and Optimization 2 Circuits, Systems, and Signal Processing 2 MCSS. Mathematics of Control, Signals, and Systems 2 Numerical Algorithms 2 Journal of Approximation Theory and its Applications 2 Annals of Numerical Mathematics 2 Analysis and Applications (Singapore) 1 American Mathematical Monthly 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 International Journal of Systems Science 1 Linear and Multilinear Algebra 1 Chaos, Solitons and Fractals 1 Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matemàtiche e Naturali 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Glasgow Mathematical Journal 1 Michigan Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Journal of Computational Mathematics 1 Journal of Hangzhou University. Natural Science Edition 1 Applied Numerical Mathematics 1 Multidimensional Systems and Signal Processing 1 Aequationes Mathematicae 1 Scientia Sinica. Series A 1 Indagationes Mathematicae. New Series 1 Communications in Applied Analysis 1 IEEE Transactions on Antennas and Propagation 1 Journal of the Australian Mathematical Society 1 International Journal of Wavelets, Multiresolution and Information Processing 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 ISNM. International Series of Numerical Mathematics 1 SIAM Monographs on Mathematical Modeling and Computation 1 Mathematics Textbooks for Science and Engineering 1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

#### Fields

 182 Approximations and expansions (41-XX) 96 Harmonic analysis on Euclidean spaces (42-XX) 56 Numerical analysis (65-XX) 29 Information and communication theory, circuits (94-XX) 27 Functions of a complex variable (30-XX) 21 Systems theory; control (93-XX) 18 General and overarching topics; collections (00-XX) 13 Functional analysis (46-XX) 13 Operator theory (47-XX) 13 Statistics (62-XX) 12 Computer science (68-XX) 5 Integral transforms, operational calculus (44-XX) 5 Probability theory and stochastic processes (60-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Sequences, series, summability (40-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH

254 Publications have been cited 3,513 times in 2,411 Documents Cited by Year
An introduction to wavelets. Zbl 0925.42016
Chui, Charles K.
1992
A symmetric image encryption scheme based on 3D chaotic cat maps. Zbl 1049.94009
Chen, Guanrong; Mao, Yaobin; Chui, Charles K.
2004
Compactly supported tight and sibling frames with maximum vanishing moments. Zbl 1016.42023
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
2002
Multivariate splines. Zbl 0687.41018
Chui, Charles K.
1988
On compactly supported spline wavelets and a duality principle. Zbl 0759.41008
Chui, Charles K.; Wang, Jianzhong
1992
Compactly supported tight frames associated with refinable functions. Zbl 0948.42022
Chui, Charles K.; He, Wenjie
2000
Wavelets: a mathematical tool for signal analysis. Zbl 0903.94007
Chui, Charles K.
1997
A study of orthonormal multi-wavelets. Zbl 0877.65098
Chui, Charles K.; Lian, Jian-ao
1996
Approximation by overconvergence of a power series. Zbl 0224.30006
Chui, Charles K.; Parnes, Milton N.
1971
Inequalities of Littlewood-Paley type for frames and wavelets. Zbl 0766.41013
Chui, Charles K.; Shi, Xianliang
1993
Wavelets on a bounded interval. Zbl 0815.42016
Chui, Charles K.; Quak, Ewald
1992
Kalman filtering with real-time applications. Zbl 0636.93070
Chui, C. K.; Chen, G.
1987
Wavelets: A tutorial in theory and applications. Zbl 0744.00020
Chui, Charles K. (ed.)
1992
Orthonormal wavelets and tight frames with arbitrary real dilations. Zbl 0967.42023
Chui, Charles K.; Shi, Xianliang
2000
Approximation by Ridge functions and neural networks with one hidden layer. Zbl 0768.41018
Chui, Charles K.; Li, Xin
1992
On solving first-kind integral equations using wavelets on a bounded interval. Zbl 0944.65537
Goswami, Jaideva C.; Chan, Andrew K.; Chui, Charles K.
1995
Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale $$=3$$. Zbl 0814.42016
Chui, Charles K.; Lian, Jian-Ao
1995
Affine frames, quasi-affine frames, and their duals. Zbl 0892.42019
Chui, Charles K.; Shi, Xianliang; Stöckler, Joachim
1998
A general framework of compactly supported splines and wavelets. Zbl 0774.41013
Chui, Charles K.; Wang, Jian-Zhong
1992
On minimal and quasi-minimal supported bivariate splines. Zbl 0644.41007
Chui, C. K.; He, T. X.
1988
Cardinal interpolation by multivariate splines. Zbl 0619.41004
Chui, C. K.; Jetter, K.; Ward, J. D.
1987
Multivariate spline spaces. Zbl 0526.41027
Chui, Charles K.; Wang, Ren-Hong
1983
Bessel sequences and affine frames. Zbl 0788.42011
Chui, Charles K.; Shi, Xianliang
1993
On trigonometric wavelets. Zbl 0780.42020
Chui, C. K.; Mhaskar, H. N.
1993
A cardinal spline approach to wavelets. Zbl 0755.41008
Chui, Charles K.; Wang, Jian-Zhong
1991
Characterization of general tight wavelet frames with matrix dilations and tightness preserving oversampling. Zbl 1005.42020
Chui, Charles K.; Czaja, Wojciech; Maggioni, Mauro; Weiss, Guido
2002
A natural formulation of quasi-interpolation by multivariate splines. Zbl 0656.41005
Chui, Charles K.; Diamond, Harvey
1987
Constrained best approximation in Hilbert space. Zbl 0682.41034
Chui, Charles K.; Deutsch, Frank; Ward, Joseph D.
1990
Compactly supported tight affine frames with integer dilations and maximum vanishing moments. Zbl 1059.42022
Chui, Charles K.; He, Wenjie; Stöckler, Joachim; Sun, Qiyu
2003
Nonorthogonal wavelet packets. Zbl 0770.41022
Chui, Charles K.; Li, Chun
1993
Multivariate vertex splines and finite elements. Zbl 0702.41017
Chui, Charles K.; Lai, Ming-Jun
1990
On smooth mulivariate spline functions. Zbl 0542.41008
Chui, Charles K.; Wang, Ren-Hong
1983
On a bivariate B-spline basis. Zbl 0559.41010
Chui, Charles K.; Wang, Renhong
1984
Nonstationary tight wavelet frames. II: Unbounded intervals. Zbl 1067.42022
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
2005
Nonstationary tight wavelet frames. I: Bounded intervals. Zbl 1067.42021
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
2004
A characterization of multivariate quasi-interpolation formulas and its applications. Zbl 0693.41001
Chui, Charles K.; Diamond, Harvey
1990
Kalman filtering. With real-time applications. 4th ed. Zbl 1206.93110
Chui, Charles K.; Chen, Guanrong
2009
Analytic wavelets generated by radial functions. Zbl 0855.65145
Chui, C. K.; Stöckler, J.; Ward, J. D.
1996
Constrained best approximation in Hilbert space. II. Zbl 0796.41026
Chui, Charles K.; Deutsch, Frank; Ward, Joseph D.
1992
Construction of real-time spline quasi-interpolation schemes. Zbl 0692.41014
Chen, G.; Chui, C. K.; Lai, M. J.
1988
Signal decomposition and analysis via extraction of frequencies. Zbl 1330.94013
Chui, Charles K.; Mhaskar, H. N.
2016
Affine frame decompositions and shift-invariant spaces. Zbl 1091.42021
Chui, Charles K.; Sun, Qiyu
2006
Compactly supported box-spline wavelets. Zbl 0766.41010
Chui, C. K.; Stöckler, J.; Ward, J. D.
1992
Surface subdivision schemes generated by refinable bivariate spline function vectors. Zbl 1026.68145
Chui, Charles K.; Jiang, Qingtang
2003
A general framework of multivariate wavelets with duals. Zbl 0810.42019
Chui, Charles K.; Li, Chun
1994
Best local approximation. Zbl 0314.41016
Chui, Charles K.; Shisha, O.; Smith, Philip W.
1975
Wavelet subdivision methods. GEMS for rendering curves and surfaces. Zbl 1202.42001
Chui, Charles; De Villiers, Johan
2011
Balanced multi-wavelets in $$\mathbb R^s$$. Zbl 1061.42023
Chui, Charles K.; Jiang, Qingtang
2005
Construction of multivariate tight frames via Kronecker products. Zbl 1029.42028
Chui, Charles K.; He, Wenjie
2001
Matrix-valued symmetric templates for interpolatory surface subdivisions. I: Regular vertices. Zbl 1081.68115
Chui, Charles K.; Jiang, Qingtang
2005
On bivariate super vertex splines. Zbl 0726.41012
Chui, Charles K.; Lai, Mingjun
1990
A multivariate analog of Marsden’s identity and a quasi-interpolation scheme. Zbl 0623.41009
Chui, C. K.; Lai, M. J.
1987
Spaces of bivariate cubic and quartic splines on type-1 triangulations. Zbl 0597.41013
Chui, Charles K.; Wang, Renhong
1984
Concerning rates of convergence of Riemann sums. Zbl 0221.41022
Chui, Charles K.
1971
Stability of optimal-order approximation by bivariate splines over arbitrary triangulations. Zbl 0841.41017
Chui, C. K.; Hong, D.; Jia, R. Q.
1995
Real-time dynamics acquisition from irregular samples - with application to anesthesia evaluation. Zbl 1382.94028
Chui, Charles K.; Lin, Yu-Ting; Wu, Hau-Tieng
2016
Matrix-valued subdivision schemes for generating surfaces with extraordinary vertices. Zbl 1094.65016
Chui, Charles K.; Jiang, Qingtang
2006
Filling polygonal holes using $$C^{1}$$ cubic triangular spline patches. Zbl 0938.68122
Chui, C. K.; Lai, M.-J.
2000
Limitations of the approximation capabilities of neural networks with one hidden layer. Zbl 0855.41026
Chui, C. K.; Li, Xin; Mhaskar, H. N.
1996
Neural networks for localized approximation. Zbl 0806.41020
Chui, C. K.; Li, Xin; Mhaskar, H. N.
1994
Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes. Zbl 0744.65009
Chui, Charles K.; Lai, Ming-Jun
1991
Computation of box splines and B-splines on triangulations of nonuniform rectangular partitions. Zbl 0682.41020
Chui, C. K.; Lai, M. J.
1987
Kalman filtering with real-time applications. 3rd ed. Zbl 0908.93066
Chui, Charles K.; Chen, Guanrong
1998
A general framework for local interpolation. Zbl 0714.65006
Chui, Charles K.; Diamond, Harvey
1991
On bivariate vertex splines. Zbl 0588.65009
Chui, C. K.; Lai, M. J.
1985
Concerning $$C^ 1$$ B-splines on triangulations of non-uniform rectangular partition. Zbl 0596.41016
Chui, Charles K.; Wang, Renhong
1984
Padé approximation of Stieltjes series. Zbl 0323.30044
Allen, G. D.; Chui, C. K.; Madych, W. R.; Narcowich, F. J.; Smith, P. W.
1975
A study of asymptotically optimal time-frequency localization by scaling functions and wavelets. Zbl 0883.42030
Chui, C. K.; Wang, J. Z.
1997
Applications of optimally local interpolation to interpolatory approximants and compactly supported wavelets. Zbl 0860.41005
Chui, Charles K.; De Villiers, Johan M.
1996
Construction of local $$C^ 1$$ quartic spline elements for optimal-order approximation. Zbl 0854.41020
Chui, Charles K.; Hong, Dong
1996
Best local approximation in several variables. Zbl 0548.41016
Chui, Charles K.; Diamond, Harvey; Raphael, Louise A.
1984
On spaces of piecewise polynomials with boundary conditions. III. Type-2 triangulations. Zbl 0598.41014
Chui, C. K.; Schumaker, L. L.; Wang, R. H.
1983
A note on Landau’s problem for bounded intervals. Zbl 0321.26005
Chui, Charles K.; Smith, Philip W.
1975
Padé approximants as limits of best rational approximants. Zbl 0288.41007
Chui, Charles K.; Shisha, Oved; Smith, Philip W.
1974
A representation formula for harmonic functions. Zbl 0262.31001
Ching, Chin-Hung; Chui, Charles K.
1973
Multivariate balanced vector-valued refinable functions. Zbl 1034.42035
Chui, Charles K.; Jiang, Qingtang
2003
Characterization of biorthogonal cosine wavelets. Zbl 0913.42026
Chui, Charles K.; Shi, Xianliang
1997
Continuous two-scale equations and dyadic wavelets. Zbl 0877.42014
Chui, Charles K.; Shi, Xianliang
1994
On $$L^ p$$-boundedness of affine frame operators. Zbl 0789.42027
Chui, Charles K.; Shi, Xianliang
1993
On spaces of piecewise polynomials with boundary conditions. II. Type-1 triangulations. Zbl 0598.41013
Chui, C. K.; Schumaker, L. L.; Wang, R. H.
1983
Multivariate B-splines on triangulated rectangles. Zbl 0523.41008
Chui, Charles K.; Wang, Ren-Hong
1983
Representation of functions on big data: graphs and trees. Zbl 1329.62033
Chui, C. K.; Filbir, F.; Mhaskar, H. N.
2015
Smooth function extension based on high dimensional unstructured data. Zbl 1297.41002
Chui, Charles K.; Mhaskar, H. N.
2014
Refinable bivariate quartic $$C^2$$-splines for multi-level data representation and surface display. Zbl 1071.65011
Chui, Charles K.; Jiang, Qingtang
2005
$$n\times$$ oversampling preserves any tight affine frame for odd $$n$$. Zbl 0802.41015
Chui, Charles K.; Shi, Xianliang
1994
Kalman filtering: with real-time applications. 2nd ed. Zbl 0751.93078
Chui, Charles K.; Chen, Guanrong
1991
An overview of wavelets. Zbl 0736.42020
Chui, Charles K.
1991
Modified extended Kalman filtering and a real-time parallel algorithm for system parameter identification. Zbl 0709.93065
Chui, Charles K.; Chen, Guanrong; Chui, Herman C.
1990
Interpolation by multivariate splines. Zbl 0648.41006
Chui, Charles K.; Diamond, Harvey; Raphael, Louise A.
1988
Vandermonde determinant and Lagrange interpolation in $$R^ S$$. Zbl 0664.41005
Chui, Charles K.; Lai, Hang-Chin
1987
Cholesky factorization of positive definite bi-infinite matrices. Zbl 0503.15006
Chui, C. K.; Ward, J. D.; Smith, P. W.
1982
Unicity of best mean approximation by second order splines with variable knots. Zbl 0393.41013
Barrow, D. L.; Chui, C. K.; Smith, P. W.; Ward, J. D.
1978
Mean boundary value problems and Riemann series. Zbl 0277.30008
Ching, Chin-Hung; Chui, Charles K.
1974
Bounded approximation by polynomials with restricted zeros. Zbl 0179.38201
Chui, C. K-T.
1967
Applied mathematics. Data compression, spectral methods, Fourier analysis, wavelets, and applications. Zbl 1279.65001
Chui, Charles K.; Jiang, Qingtang
2013
A dual-chain approach for bottom-up construction of wavelet filters with any integer dilation. Zbl 1245.42027
Chui, Charles K.; Han, Bin; Zhuang, Xiaosheng
2012
Tight frames of compactly supported multivariate multi-wavelets. Zbl 1190.65203
Charina, Maria; Chui, Charles K.; He, Wenjie
2010
Optimal Lagrange interpolation by quartic $$C^1$$ splines on triangulations. Zbl 1156.65009
Chui, C. K.; Hecklin, G.; Nürnberger, G.; Zeilfelder, F.
2008
Polynomial interpolation and Marcinkiewicz-Zygmund inequalities on the unit circle. Zbl 1054.30033
Chui, Charles K.; Zhong, Lefan
1999
A study of biorthogonal sinusoidal wavelets. Zbl 0936.42019
Chui, Charles K.; Shi, Xianliang
1997
Deep neural networks for rotation-invariance approximation and learning. Zbl 1423.68378
Chui, Charles K.; Lin, Shao-Bo; Zhou, Ding-Xuan
2019
A unified method for super-resolution recovery and real exponential-sum separation. Zbl 1414.85002
Chui, Charles K.; Mhaskar, H. N.
2019
Representation of functions on big data associated with directed graphs. Zbl 1378.68134
Chui, Charles K.; Mhaskar, H. N.; Zhuang, Xiaosheng
2018
Kalman filtering. With real-time applications. 5th edition. Zbl 1416.93001
Chui, Charles K.; Chen, Guanrong
2017
Signal decomposition and analysis via extraction of frequencies. Zbl 1330.94013
Chui, Charles K.; Mhaskar, H. N.
2016
Real-time dynamics acquisition from irregular samples - with application to anesthesia evaluation. Zbl 1382.94028
Chui, Charles K.; Lin, Yu-Ting; Wu, Hau-Tieng
2016
Data-driven atomic decomposition via frequency extraction of intrinsic mode functions. Zbl 1361.94023
Chui, Charles K.; Mhaskar, H. N.; van der Walt, Maria D.
2016
Multirate systems with shortest spline-wavelet filters. Zbl 1342.42038
Chui, Charles K.; de Villiers, Johan; Zhuang, Xiaosheng
2016
Representation of functions on big data: graphs and trees. Zbl 1329.62033
Chui, C. K.; Filbir, F.; Mhaskar, H. N.
2015
Signal analysis via instantaneous frequency estimation of signal components. Zbl 1322.94028
Chui, Charles K.; van der Walt, Maria D.
2015
Smooth function extension based on high dimensional unstructured data. Zbl 1297.41002
Chui, Charles K.; Mhaskar, H. N.
2014
Applied mathematics. Data compression, spectral methods, Fourier analysis, wavelets, and applications. Zbl 1279.65001
Chui, Charles K.; Jiang, Qingtang
2013
A dual-chain approach for bottom-up construction of wavelet filters with any integer dilation. Zbl 1245.42027
Chui, Charles K.; Han, Bin; Zhuang, Xiaosheng
2012
Wavelet subdivision methods. GEMS for rendering curves and surfaces. Zbl 1202.42001
Chui, Charles; De Villiers, Johan
2011
Tight frames of compactly supported multivariate multi-wavelets. Zbl 1190.65203
Charina, Maria; Chui, Charles K.; He, Wenjie
2010
Dimensionality reduction of hyperspectral imagery data for feature classification. Zbl 1197.86004
Chui, Charles K.; Wang, Jianzhong
2010
Randomized anisotropic transform for nonlinear dimensionality reduction. Zbl 1204.68271
Chui, Charles K.; Wang, Jianzhong
2010
MRA contextual-recovery extension of smooth functions on manifolds. Zbl 1198.94025
Chui, Charles K.; Mhaskar, H. N.
2010
Kalman filtering. With real-time applications. 4th ed. Zbl 1206.93110
Chui, Charles K.; Chen, Guanrong
2009
An ideal spline-wavelet family for curve design and editing. Zbl 1169.42016
Chui, Charles K.; De Villiers, Johan
2009
PDE models associated with the bilateral filter. Zbl 1170.94304
Chui, Charles K.; Wang, Jianzhong
2009
An MRA approach to surface completion and image inpainting. Zbl 1189.68162
Chui, Charles K.
2009
Matrix-valued 4-point spline and 3-point non-spline interpolatory curve subdivision schemes. Zbl 1205.65047
Chui, Charles K.; Jiang, Qingtang
2009
Optimal Lagrange interpolation by quartic $$C^1$$ splines on triangulations. Zbl 1156.65009
Chui, C. K.; Hecklin, G.; Nürnberger, G.; Zeilfelder, F.
2008
From extension of Loop’s approximation scheme to interpolatory subdivisions. Zbl 1172.65306
Chui, Charles K.; Jiang, Qingtang
2008
Triangular $$\sqrt 7$$ and quadrilateral $$\sqrt 5$$ subdivision schemes: regular case. Zbl 1133.68077
Chui, Charles K.; Jiang, Qingtang; Ndao, Rokhaya N.
2008
Wavelet-based minimal-energy approach to image restoration. Zbl 1118.68175
Chui, Charles K.; Wang, Jianzhong
2007
Affine frame decompositions and shift-invariant spaces. Zbl 1091.42021
Chui, Charles K.; Sun, Qiyu
2006
Matrix-valued subdivision schemes for generating surfaces with extraordinary vertices. Zbl 1094.65016
Chui, Charles K.; Jiang, Qingtang
2006
Refinable bivariate quartic and quintic $$C^{2}$$-splines for quadrilateral subdivisions. Zbl 1100.65013
Chui, Charles K.; Jiang, Qingtang
2006
Construction of orthonormal multi-wavelets with additional vanishing moments. Zbl 1115.65133
Chui, Charles K.; Lian, Jian-ao
2006
Nonstationary tight wavelet frames. II: Unbounded intervals. Zbl 1067.42022
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
2005
Balanced multi-wavelets in $$\mathbb R^s$$. Zbl 1061.42023
Chui, Charles K.; Jiang, Qingtang
2005
Matrix-valued symmetric templates for interpolatory surface subdivisions. I: Regular vertices. Zbl 1081.68115
Chui, Charles K.; Jiang, Qingtang
2005
Refinable bivariate quartic $$C^2$$-splines for multi-level data representation and surface display. Zbl 1071.65011
Chui, Charles K.; Jiang, Qingtang
2005
A symmetric image encryption scheme based on 3D chaotic cat maps. Zbl 1049.94009
Chen, Guanrong; Mao, Yaobin; Chui, Charles K.
2004
Nonstationary tight wavelet frames. I: Bounded intervals. Zbl 1067.42021
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
2004
Compactly supported tight affine frames with integer dilations and maximum vanishing moments. Zbl 1059.42022
Chui, Charles K.; He, Wenjie; Stöckler, Joachim; Sun, Qiyu
2003
Surface subdivision schemes generated by refinable bivariate spline function vectors. Zbl 1026.68145
Chui, Charles K.; Jiang, Qingtang
2003
Multivariate balanced vector-valued refinable functions. Zbl 1034.42035
Chui, Charles K.; Jiang, Qingtang
2003
Tight frame oversampling and its equivalence to shift-invariance of affine frame operators. Zbl 1013.42024
Chui, Charles K.; Sun, Qiyu
2003
Recent development of spline wavelet frames with compact support. Zbl 1083.42027
Chui, Charles; Stöckler, Joachim
2003
Shannon wavelet approach to sub-band coding. Zbl 1055.94002
Chui, Charles K.; Wang, Jianzhong
2003
Compactly supported tight and sibling frames with maximum vanishing moments. Zbl 1016.42023
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
2002
Characterization of general tight wavelet frames with matrix dilations and tightness preserving oversampling. Zbl 1005.42020
Chui, Charles K.; Czaja, Wojciech; Maggioni, Mauro; Weiss, Guido
2002
Tight frames with maximum vanishing moments and minimum support. Zbl 1039.42031
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
2002
Gabor frames with arbitrary windows. Zbl 1029.42027
Bittner, Kai; Chui, Charles K.
2002
Nonstationary wavelets and refinement sequences of nonuniform B-splines. Zbl 1024.42020
Chui, Charles K.; Lian, Jian-ao
2002
Construction of multivariate tight frames via Kronecker products. Zbl 1029.42028
Chui, Charles K.; He, Wenjie
2001
Compactly supported tight frames associated with refinable functions. Zbl 0948.42022
Chui, Charles K.; He, Wenjie
2000
Orthonormal wavelets and tight frames with arbitrary real dilations. Zbl 0967.42023
Chui, Charles K.; Shi, Xianliang
2000
Filling polygonal holes using $$C^{1}$$ cubic triangular spline patches. Zbl 0938.68122
Chui, C. K.; Lai, M.-J.
2000
Wavelets of Wilson type with arbitrary shapes. Zbl 0947.42022
Chui, Charles K.; Shi, Xianliang
2000
Polynomial interpolation and Marcinkiewicz-Zygmund inequalities on the unit circle. Zbl 1054.30033
Chui, Charles K.; Zhong, Lefan
1999
From local cosine bases to global harmonics. Zbl 0932.42029
Bittner, Kai; Chui, Charles K.
1999
Affine frames, quasi-affine frames, and their duals. Zbl 0892.42019
Chui, Charles K.; Shi, Xianliang; Stöckler, Joachim
1998
Kalman filtering with real-time applications. 3rd ed. Zbl 0908.93066
Chui, Charles K.; Chen, Guanrong
1998
Spline-wavelets with arbitrary knots on a bounded interval: orthogonal decomposition and computational algorithms. Zbl 0903.65012
Chui, Ch. K.; De Villiers, J. M.
1998
Approximation theory IX. Volume 2. Computational aspects. Proceedings of the 9th international conference, Nashville, TN, USA, January 3–6, 1998. Zbl 0910.00047
Chui, Charles K. (ed.); Schumaker, Larry L. (ed.)
1998
Real-time simultaneous estimation and decomposition of random signals. Zbl 0907.93057
Hong, Lang; Chen, Guanrong; Chui, Charles K.
1998
Wavelets: a mathematical tool for signal analysis. Zbl 0903.94007
Chui, Charles K.
1997
A study of asymptotically optimal time-frequency localization by scaling functions and wavelets. Zbl 0883.42030
Chui, C. K.; Wang, J. Z.
1997
Characterization of biorthogonal cosine wavelets. Zbl 0913.42026
Chui, Charles K.; Shi, Xianliang
1997
A study of biorthogonal sinusoidal wavelets. Zbl 0936.42019
Chui, Charles K.; Shi, Xianliang
1997
Swapping edges of arbitrary triangulations to achieve the optimal order of approximation. Zbl 0889.41014
Chui, Charles K.; Hong, Dong
1997
Inequalities on matrix-dilated Littlewood-Paley energy functions and oversampled affine operators. Zbl 0869.42011
Chui, Charles K.; Shi, Xianliang
1997
Discrete $$H^\infty$$-optimization. With applications in signal processing and control systems. 2nd ed. Zbl 0912.93002
Chui, Charles K.; Chen, Guanrong
1997
Multivariate cosine wavelets. Zbl 0891.42023
Bittner, Kai; Chui, Charles K.; Prestin, Jürgen
1997
A study of orthonormal multi-wavelets. Zbl 0877.65098
Chui, Charles K.; Lian, Jian-ao
1996
Analytic wavelets generated by radial functions. Zbl 0855.65145
Chui, C. K.; Stöckler, J.; Ward, J. D.
1996
Limitations of the approximation capabilities of neural networks with one hidden layer. Zbl 0855.41026
Chui, C. K.; Li, Xin; Mhaskar, H. N.
1996
Applications of optimally local interpolation to interpolatory approximants and compactly supported wavelets. Zbl 0860.41005
Chui, Charles K.; De Villiers, Johan M.
1996
Construction of local $$C^ 1$$ quartic spline elements for optimal-order approximation. Zbl 0854.41020
Chui, Charles K.; Hong, Dong
1996
High-order orthonormal scaling functions and wavelets give poor time-frequency localization. Zbl 1055.42507
Chui, Charles K.; Wang, Jianzhong
1996
Dyadic affine decompositions and functional wavelet transforms. Zbl 0849.42022
Chui, Charles K.; Li, Chun
1996
On stability bounds of perturbed multivariate trigonometric systems. Zbl 0876.42019
Chui, Charles K.; Shi, Xianliang
1996
Wavelets for analyzing scattered data: An unbounded operator approach. Zbl 0855.42023
Chui, C. K.; Ward, J. D.; Jetter, K.; Stöckler, J.
1996
On solving first-kind integral equations using wavelets on a bounded interval. Zbl 0944.65537
Goswami, Jaideva C.; Chan, Andrew K.; Chui, Charles K.
1995
Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale $$=3$$. Zbl 0814.42016
Chui, Charles K.; Lian, Jian-Ao
1995
Stability of optimal-order approximation by bivariate splines over arbitrary triangulations. Zbl 0841.41017
Chui, C. K.; Hong, D.; Jia, R. Q.
1995
Multivariate interpolating wavelets. Zbl 0927.42013
Chui, Charles K.; Li, Chun
1995
Approximation theory VIII. Vol. 2. Wavelets and multilevel approximation. Papers from the 8th Texas international conference, College Station, TX, USA, January 8–12, 1995. Zbl 0902.00035
Chui, C. K. (ed.); Schumaker, L. L. (ed.)
1995
Approximation theory VIII. Vol. 1. Approximation and interpolation. Proceedings of the 8th Texas international conference, College Station, TX, USA, January 8–12, 1995. Zbl 0928.00035
Chui, C. K. (ed.); Schumaker, L. L. (ed.)
1995
Fast integral wavelet transform on a dense set of the time-scale domain. Zbl 0824.65141
Chui, C. K.; Goswami, J. C.; Chan, A. K.
1995
A general framework of multivariate wavelets with duals. Zbl 0810.42019
Chui, Charles K.; Li, Chun
1994
Neural networks for localized approximation. Zbl 0806.41020
Chui, C. K.; Li, Xin; Mhaskar, H. N.
1994
Continuous two-scale equations and dyadic wavelets. Zbl 0877.42014
Chui, Charles K.; Shi, Xianliang
1994
$$n\times$$ oversampling preserves any tight affine frame for odd $$n$$. Zbl 0802.41015
Chui, Charles K.; Shi, Xianliang
1994
A study of compactly supported scaling functions and wavelets. Zbl 0816.42019
Chui, Charles K.; Wang, Jianzhong
1994
Wavelets: theory, algorithms, and applications. Proceedings of the international conference on wavelets, held in Taormina, Italy, October 14-20, 1993. Zbl 0816.00025
Chui, Charles K. (ed.); Montefusco, Laura (ed.); Puccio, Luigia (ed.)
1994
Wavelets and frames on the four-directional mesh. Zbl 0877.42015
Chui, Charles K.; Jetter, Kurt; Stöckler, Joachim
1994
Affine operators and frames of multivariate wavelets. Zbl 0844.42014
Chui, Charles K.; Shi, Xianliang
1994
Convexity of parametric Bézier surfaces in terms of Gaussian curvature signatures. Zbl 0826.41014
Cheng, Zhengxing; Chui, Charles K.
1994
Continuity of best Hankel approximation and convergence of near-best approximants. Zbl 0805.47021
Chui, Charles K.; Li, Xin
1994
Inequalities of Littlewood-Paley type for frames and wavelets. Zbl 0766.41013
Chui, Charles K.; Shi, Xianliang
1993
Bessel sequences and affine frames. Zbl 0788.42011
Chui, Charles K.; Shi, Xianliang
1993
On trigonometric wavelets. Zbl 0780.42020
Chui, C. K.; Mhaskar, H. N.
1993
Nonorthogonal wavelet packets. Zbl 0770.41022
Chui, Charles K.; Li, Chun
1993
On $$L^ p$$-boundedness of affine frame operators. Zbl 0789.42027
Chui, Charles K.; Shi, Xianliang
1993
On a Littlewood-Paley identity and characterization of wavelets. Zbl 0782.42025
Chui, Charles K.; Shi, Xianliang
1993
...and 154 more Documents
all top 5

#### Cited by 2,893 Authors

 114 Chui, Charles Kam-tai 37 Han, Bin 35 Sun, Wenchang 30 Jiang, Qingtang 27 Shen, Zuowei 25 Yang, Shouzhi 23 Lai, Mingjun 23 Mhaskar, Hrushikesh N. 22 Nestoridis, Vassili 22 Ward, Joseph Dinneen 21 Sun, Qiyu 19 Zhou, Xingwei 18 Lakestani, Mehrdad 18 Stöckler, Joachim 17 Chen, Guanrong 17 Sbibih, Driss 17 Wang, Renhong 16 Goh, Say Song 16 Ron, Amos 16 Sablonnière, Paul 16 Zhuang, Xiaosheng 15 Charina, Maria 15 Chen, Qingjiang 15 Dahmen, Wolfgang A. 15 Dehghan Takht Fooladi, Mehdi 15 Shi, Xianliang 15 Wang, Jianzhong 14 Cao, Feilong 14 Cheng, Zhengxing 14 Christensen, Ole 14 Li, Yunzhang 14 Liao, Xiaofeng 13 Barrera, Domingo 13 Guo, Xunxiang 13 Micchelli, Charles A. 13 Shah, Firdous Ahmad 13 Speleers, Hendrik 12 Billings, Stephen A. 12 Ibáñez, María J. 12 Kim, Hong Oh 12 Kim, Rae Young 12 Zhang, Zhihua 11 Cui, Lihong 11 Goodman, Timothy N. T. 11 Li, Dengfeng 11 Manni, Carla 11 Smith, Philip W. 11 Wang, Xingyuan 11 Zhou, Dingxuan 10 Cuenya, Héctor Hugo 10 De Villiers, Johan Marthinus 10 Jetter, Kurt 10 Jia, Rong-Qing 10 Peng, Lizhong 10 Tijini, Ahmed 9 Ismailov, Vugar E. 9 Li, Baobin 9 Li, Chengqing 9 Li, Song 9 Li, Youfa 9 Nürnberger, Günther 9 Prestin, Jurgen 9 Romani, Lucia 9 San Antolín, Angel 9 Schumaker, Larry L. 9 Zeilfelder, Frank 8 Aldroubi, Akram 8 Bownik, Marcin 8 Chen, Xuefeng 8 Davydov, Oleg V. 8 Dem’yanovich, Yuriĭ Kazimirovich 8 He, Wenjie 8 Levis, Fabián Eduardo 8 Zalik, Richard A. 7 Conti, Costanza 7 Dagnino, Catterina 7 Debnath, Lokenath 7 Deutsch, Frank 7 Dinh Dũng 7 Ehler, Martin 7 Fortes, Miguel Angel 7 Gröchenig, Karlheinz 7 Lamberti, Paola 7 Laugesen, Richard Snyder 7 Lemvig, Jakob 7 Li, Xin 7 Lim, Jae Kun 7 Liu, Wing Kam 7 Luh, Wolfgang 7 Majda, Andrew J. 7 Mouze, Augustin 7 Pathak, Ram Shankar 7 Pitolli, Francesca 7 Razzaghi, Mohsen 7 Remogna, Sara 7 Skopina, Maria A. 7 Wong, Kwokwo 7 Xian, Jun 7 Yousefi, Sohrab Ali 6 Akhavan, Amir ...and 2,793 more Authors
all top 5

#### Cited in 371 Serials

 191 Applied and Computational Harmonic Analysis 137 Journal of Approximation Theory 127 Journal of Computational and Applied Mathematics 81 International Journal of Wavelets, Multiresolution and Information Processing 70 Applied Mathematics and Computation 65 Journal of Mathematical Analysis and Applications 57 Advances in Computational Mathematics 49 Computers & Mathematics with Applications 47 The Journal of Fourier Analysis and Applications 46 Mathematics of Computation 46 Chaos, Solitons and Fractals 45 Proceedings of the American Mathematical Society 45 Computer Aided Geometric Design 30 Constructive Approximation 29 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 27 Numerical Functional Analysis and Optimization 26 Journal of Computational Physics 24 Mathematics and Computers in Simulation 24 Applied Numerical Mathematics 23 Mathematical Problems in Engineering 22 Numerical Algorithms 22 Acta Mathematica Sinica. English Series 21 Transactions of the American Mathematical Society 21 Nonlinear Dynamics 20 Communications in Nonlinear Science and Numerical Simulation 19 Numerische Mathematik 17 Information Sciences 17 Circuits, Systems, and Signal Processing 16 International Journal of Computer Mathematics 15 Applicable Analysis 15 Mathematical and Computer Modelling 15 Applied Mathematical Modelling 15 Engineering Analysis with Boundary Elements 14 Computer Methods in Applied Mechanics and Engineering 13 Journal of the Franklin Institute 13 International Journal for Numerical Methods in Engineering 13 Results in Mathematics 13 Linear Algebra and its Applications 13 Journal of Mathematical Sciences (New York) 13 Integral Transforms and Special Functions 13 Analysis and Applications (Singapore) 12 Automatica 12 Applied Mathematics. Series B (English Edition) 10 Computer Physics Communications 10 Mathematical Notes 10 Science in China. Series A 10 Neural Networks 10 Signal Processing 10 Abstract and Applied Analysis 9 Physica D 9 Computational Mechanics 9 Applied Mathematics Letters 9 Journal of Inequalities and Applications 9 Analysis in Theory and Applications 8 Rocky Mountain Journal of Mathematics 8 BIT 8 Journal of Functional Analysis 8 Monatshefte für Mathematik 8 Journal of Complexity 8 Science in China. Series F 8 Complex Variables and Elliptic Equations 8 International Journal of Applied and Computational Mathematics 7 Analysis Mathematica 7 Mathematical Methods in the Applied Sciences 7 Journal of Optimization Theory and Applications 7 Mathematische Nachrichten 7 Proceedings of the Edinburgh Mathematical Society. Series II 7 Statistics & Probability Letters 7 Acta Applicandae Mathematicae 7 Multidimensional Systems and Signal Processing 7 The Journal of Geometric Analysis 7 Science China. Mathematics 6 International Journal of Theoretical Physics 6 Journal d’Analyse Mathématique 6 The Annals of Statistics 6 Computing 6 Numerical Methods for Partial Differential Equations 6 Pattern Recognition 6 Computational Statistics and Data Analysis 6 Journal of Nonparametric Statistics 6 Computational Methods and Function Theory 5 International Journal of Systems Science 5 Physica A 5 Mathematische Zeitschrift 5 Applied Mathematics and Mechanics. (English Edition) 5 Stochastic Analysis and Applications 5 Journal of Scientific Computing 5 Communications in Statistics. Theory and Methods 5 Bulletin of the American Mathematical Society. New Series 5 Mathematical Programming. Series A. Series B 5 Journal of Mathematical Imaging and Vision 5 Russian Mathematics 5 Journal of Vibration and Control 5 Analysis (München) 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Applied Mathematics and Computing 5 Mediterranean Journal of Mathematics 5 Complex Analysis and Operator Theory 5 GEM - International Journal on Geomathematics 5 Journal of Mathematics ...and 271 more Serials
all top 5

#### Cited in 56 Fields

 945 Harmonic analysis on Euclidean spaces (42-XX) 857 Numerical analysis (65-XX) 665 Approximations and expansions (41-XX) 343 Information and communication theory, circuits (94-XX) 138 Computer science (68-XX) 130 Systems theory; control (93-XX) 119 Functional analysis (46-XX) 114 Partial differential equations (35-XX) 113 Statistics (62-XX) 109 Functions of a complex variable (30-XX) 94 Dynamical systems and ergodic theory (37-XX) 67 Operator theory (47-XX) 57 Mechanics of deformable solids (74-XX) 55 Integral equations (45-XX) 48 Probability theory and stochastic processes (60-XX) 47 Integral transforms, operational calculus (44-XX) 45 Operations research, mathematical programming (90-XX) 44 Biology and other natural sciences (92-XX) 42 Ordinary differential equations (34-XX) 41 Fluid mechanics (76-XX) 35 Real functions (26-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 31 Abstract harmonic analysis (43-XX) 24 Number theory (11-XX) 23 Special functions (33-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Quantum theory (81-XX) 20 Difference and functional equations (39-XX) 20 Sequences, series, summability (40-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 15 Combinatorics (05-XX) 14 Optics, electromagnetic theory (78-XX) 13 Potential theory (31-XX) 13 Mechanics of particles and systems (70-XX) 12 Statistical mechanics, structure of matter (82-XX) 12 Geophysics (86-XX) 10 Measure and integration (28-XX) 9 Convex and discrete geometry (52-XX) 7 Commutative algebra (13-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Algebraic geometry (14-XX) 4 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Field theory and polynomials (12-XX) 3 General topology (54-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 2 Astronomy and astrophysics (85-XX) 1 Group theory and generalizations (20-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX)