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Chui, Charles Kam-tai

Author ID: chui.charles-k Recent zbMATH articles by "Chui, Charles Kam-tai"
Published as: Chui, Charles K.; Chui, C. K.; Chui, Charles; Chi, Charles K.; Chui, C. K.-T.; Chui, C. K-T.; Chui, Ch. K.
External Links: MGP · dblp · GND
Documents Indexed: 317 Publications since 1967, including 15 Books and 1 Additional arXiv Preprint
18 Contributions as Editor
Reviewing Activity: 44 Reviews
Biographic References: 1 Publication
Co-Authors: 101 Co-Authors with 301 Joint Publications
3,336 Co-Co-Authors
all top 5

Co-Authors

34 single-authored
40 Ward, Joseph Dinneen
37 Smith, Philip W.
23 Shi, Xianliang
18 Stöckler, Joachim
17 Schumaker, Larry L.
16 Chen, Guanrong
16 Jiang, Qingtang
14 He, Tian-Xiao
14 Wang, Jianzhong
14 Wang, Renhong
13 Mhaskar, Hrushikesh N.
12 Ching, Chin’Hung
10 Diamond, Harvey
10 Lai, Mingjun
9 He, Wenjie
9 Li, Xin
8 Chan, Andrew K.
7 Borosh, Itshak
7 Shen, Xiechang
7 Zhong, Lefan
6 Lian, Jian’ao
6 Raphael, Louise A.
5 Bittner, Kai
5 De Villiers, Johan Marthinus
4 Hong, Dong
4 Jetter, Kurt
4 Li, Chun
4 Li, Lin
4 Lu, Jian
4 Sun, Qiyu
3 Allen, G. Donald
3 Madych, Wolodymyr 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 Deng, Guantie
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 Jia, Rong-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 Qian, Tao
1 Qu, Wei
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 Utreras, Florencio I.
1 Weiss, Guido Leopold
1 Wu, Hau-Tieng
1 Wu, Shuntang
1 Yu, Yaoqi
1 Zeilfelder, Frank
1 Zeller, Karl Longin
...and 1 more Co-Authors
all top 5

Serials

36 Applied and Computational Harmonic Analysis
33 Journal of Approximation Theory
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 Journal of Computational and Applied Mathematics
6 Computer Aided Geometric Design
6 Springer Series in Information Sciences
5 Bulletin of the Australian Mathematical Society
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 Analysis and Applications (Singapore)
3 Bulletin of the American Mathematical Society
3 Wavelet Analysis and Its Applications
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 Indagationes Mathematicae. New Series
2 Annals of Numerical Mathematics
2 Series in Approximations and Decompositions
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 The Journal of Geometric Analysis
1 Aequationes Mathematicae
1 Scientia Sinica. Series A
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

Publications by Year

Citations contained in zbMATH Open

265 Publications have been cited 3,964 times in 2,801 Documents Cited by Year
An introduction to wavelets. Zbl 0925.42016
Chui, Charles K.
805
1992
A symmetric image encryption scheme based on 3D chaotic cat maps. Zbl 1049.94009
Chen, Guanrong; Mao, Yaobin; Chui, Charles K.
171
2004
Compactly supported tight and sibling frames with maximum vanishing moments. Zbl 1016.42023
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
134
2002
On compactly supported spline wavelets and a duality principle. Zbl 0759.41008
Chui, Charles K.; Wang, Jianzhong
111
1992
Wavelets: a mathematical tool for signal analysis. Zbl 0903.94007
Chui, Charles K.
101
1997
Compactly supported tight frames associated with refinable functions. Zbl 0948.42022
Chui, Charles K.; He, Wenjie
96
2000
A study of orthonormal multi-wavelets. Zbl 0877.65098
Chui, Charles K.; Lian, Jian-ao
77
1996
Inequalities of Littlewood-Paley type for frames and wavelets. Zbl 0766.41013
Chui, Charles K.; Shi, Xianliang
74
1993
Approximation by overconvergence of a power series. Zbl 0224.30006
Chui, Charles K.; Parnes, Milton N.
72
1971
Wavelets on a bounded interval. Zbl 0815.42016
Chui, Charles K.; Quak, Ewald
71
1992
Multivariate splines. Zbl 0687.41018
Chui, Charles K.
66
1988
Approximation by Ridge functions and neural networks with one hidden layer. Zbl 0768.41018
Chui, Charles K.; Li, Xin
62
1992
Wavelets: a tutorial in theory and applications. Zbl 0744.00020
58
1992
Kalman filtering with real-time applications. Zbl 0636.93070
Chui, C. K.; Chen, G.
53
1987
Orthonormal wavelets and tight frames with arbitrary real dilations. Zbl 0967.42023
Chui, Charles K.; Shi, Xianliang
52
2000
On solving first-kind integral equations using wavelets on a bounded interval. Zbl 0944.65537
Goswami, Jaideva C.; Chan, Andrew K.; Chui, Charles K.
49
1995
Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale \(=3\). Zbl 0814.42016
Chui, Charles K.; Lian, Jian-Ao
40
1995
Affine frames, quasi-affine frames, and their duals. Zbl 0892.42019
Chui, Charles K.; Shi, Xianliang; Stöckler, Joachim
40
1998
A natural formulation of quasi-interpolation by multivariate splines. Zbl 0656.41005
Chui, Charles K.; Diamond, Harvey
37
1987
A general framework of compactly supported splines and wavelets. Zbl 0774.41013
Chui, Charles K.; Wang, Jian-Zhong
37
1992
On minimal and quasi-minimal supported bivariate splines. Zbl 0644.41007
Chui, C. K.; He, T. X.
35
1988
Multivariate spline spaces. Zbl 0526.41027
Chui, Charles K.; Wang, Ren-Hong
35
1983
Cardinal interpolation by multivariate splines. Zbl 0619.41004
Chui, C. K.; Jetter, K.; Ward, J. D.
34
1987
A cardinal spline approach to wavelets. Zbl 0755.41008
Chui, Charles K.; Wang, Jian-Zhong
34
1991
On trigonometric wavelets. Zbl 0780.42020
Chui, C. K.; Mhaskar, H. N.
33
1993
Neural networks for localized approximation. Zbl 0806.41020
Chui, C. K.; Li, Xin; Mhaskar, H. N.
33
1994
Constrained best approximation in Hilbert space. Zbl 0682.41034
Chui, Charles K.; Deutsch, Frank; Ward, Joseph D.
32
1990
Bessel sequences and affine frames. Zbl 0788.42011
Chui, Charles K.; Shi, Xianliang
32
1993
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
31
2002
Nonorthogonal wavelet packets. Zbl 0770.41022
Chui, Charles K.; Li, Chun
29
1993
Compactly supported tight affine frames with integer dilations and maximum vanishing moments. Zbl 1059.42022
Chui, Charles K.; He, Wenjie; Stöckler, Joachim; Sun, Qiyu
29
2003
Multivariate vertex splines and finite elements. Zbl 0702.41017
Chui, Charles K.; Lai, Ming-Jun
28
1990
Nonstationary tight wavelet frames. I: Bounded intervals. Zbl 1067.42021
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
24
2004
Signal decomposition and analysis via extraction of frequencies. Zbl 1330.94013
Chui, Charles K.; Mhaskar, H. N.
24
2016
On smooth mulivariate spline functions. Zbl 0542.41008
Chui, Charles K.; Wang, Ren-Hong
23
1983
Analytic wavelets generated by radial functions. Zbl 0855.65145
Chui, C. K.; Stöckler, J.; Ward, J. D.
22
1996
A characterization of multivariate quasi-interpolation formulas and its applications. Zbl 0693.41001
Chui, Charles K.; Diamond, Harvey
22
1990
Nonstationary tight wavelet frames. II: Unbounded intervals. Zbl 1067.42022
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
22
2005
Kalman filtering. With real-time applications. 4th ed. Zbl 1206.93110
Chui, Charles K.; Chen, Guanrong
22
2009
Constrained best approximation in Hilbert space. II. Zbl 0796.41026
Chui, Charles K.; Deutsch, Frank; Ward, Joseph D.
21
1992
On a bivariate B-spline basis. Zbl 0559.41010
Chui, Charles K.; Wang, Renhong
20
1984
Construction of real-time spline quasi-interpolation schemes. Zbl 0692.41014
Chen, G.; Chui, C. K.; Lai, M. J.
20
1988
Compactly supported box-spline wavelets. Zbl 0766.41010
Chui, C. K.; Stöckler, J.; Ward, J. D.
20
1992
Limitations of the approximation capabilities of neural networks with one hidden layer. Zbl 0855.41026
Chui, C. K.; Li, Xin; Mhaskar, H. N.
20
1996
Concerning rates of convergence of Riemann sums. Zbl 0221.41022
Chui, Charles K.
19
1971
Balanced multi-wavelets in \(\mathbb R^s\). Zbl 1061.42023
Chui, Charles K.; Jiang, Qingtang
19
2005
Affine frame decompositions and shift-invariant spaces. Zbl 1091.42021
Chui, Charles K.; Sun, Qiyu
18
2006
Best local approximation. Zbl 0314.41016
Chui, Charles K.; Shisha, O.; Smith, Philip W.
17
1975
A multivariate analog of Marsden’s identity and a quasi-interpolation scheme. Zbl 0623.41009
Chui, C. K.; Lai, M. J.
17
1987
A general framework of multivariate wavelets with duals. Zbl 0810.42019
Chui, Charles K.; Li, Chun
17
1994
Wavelet subdivision methods. GEMS for rendering curves and surfaces. Zbl 1202.42001
Chui, Charles; De Villiers, Johan
17
2011
Construction of multivariate tight frames via Kronecker products. Zbl 1029.42028
Chui, Charles K.; He, Wenjie
16
2001
Surface subdivision schemes generated by refinable bivariate spline function vectors. Zbl 1026.68145
Chui, Charles K.; Jiang, Qingtang
16
2003
On bivariate super vertex splines. Zbl 0726.41012
Chui, Charles K.; Lai, Mingjun
16
1990
On bivariate vertex splines. Zbl 0588.65009
Chui, C. K.; Lai, M. J.
15
1985
Real-time dynamics acquisition from irregular samples - with application to anesthesia evaluation. Zbl 1382.94028
Chui, Charles K.; Lin, Yu-Ting; Wu, Hau-Tieng
15
2016
Matrix-valued symmetric templates for interpolatory surface subdivisions. I: Regular vertices. Zbl 1081.68115
Chui, Charles K.; Jiang, Qingtang
14
2005
Deep neural networks for rotation-invariance approximation and learning. Zbl 1423.68378
Chui, Charles K.; Lin, Shao-Bo; Zhou, Ding-Xuan
14
2019
Spaces of bivariate cubic and quartic splines on type-1 triangulations. Zbl 0597.41013
Chui, Charles K.; Wang, Renhong
13
1984
A general framework for local interpolation. Zbl 0714.65006
Chui, Charles K.; Diamond, Harvey
13
1991
Filling polygonal holes using \(C^{1}\) cubic triangular spline patches. Zbl 0938.68122
Chui, C. K.; Lai, M.-J.
12
2000
Stability of optimal-order approximation by bivariate splines over arbitrary triangulations. Zbl 0841.41017
Chui, C. K.; Hong, D.; Jia, R. Q.
12
1995
A note on Landau’s problem for bounded intervals. Zbl 0321.26005
Chui, Charles K.; Smith, Philip W.
12
1975
Concerning \(C^ 1\) B-splines on triangulations of non-uniform rectangular partition. Zbl 0596.41016
Chui, Charles K.; Wang, Renhong
12
1984
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
12
1991
Signal analysis via instantaneous frequency estimation of signal components. Zbl 1322.94028
Chui, Charles K.; van der Walt, Maria D.
12
2015
Computation of box splines and B-splines on triangulations of nonuniform rectangular partitions. Zbl 0682.41020
Chui, C. K.; Lai, M. J.
11
1987
Matrix-valued subdivision schemes for generating surfaces with extraordinary vertices. Zbl 1094.65016
Chui, Charles K.; Jiang, Qingtang
11
2006
A study of asymptotically optimal time-frequency localization by scaling functions and wavelets. Zbl 0883.42030
Chui, C. K.; Wang, J. Z.
11
1997
Representation of functions on big data: graphs and trees. Zbl 1329.62033
Chui, C. K.; Filbir, F.; Mhaskar, H. N.
11
2015
Polynomial interpolation and Marcinkiewicz-Zygmund inequalities on the unit circle. Zbl 1054.30033
Chui, Charles K.; Zhong, Lefan
10
1999
Padé approximation of Stieltjes series. Zbl 0323.30044
Allen, G. D.; Chui, C. K.; Madych, W. R.; Narcowich, F. J.; Smith, P. W.
10
1975
Linear systems and optimal control. Zbl 0666.93053
Chui, C. K.; Chen, G.
10
1989
Best local approximation in several variables. Zbl 0548.41016
Chui, Charles K.; Diamond, Harvey; Raphael, Louise A.
9
1984
Construction of local \(C^ 1\) quartic spline elements for optimal-order approximation. Zbl 0854.41020
Chui, Charles K.; Hong, Dong
9
1996
Applications of optimally local interpolation to interpolatory approximants and compactly supported wavelets. Zbl 0860.41005
Chui, Charles K.; De Villiers, Johan M.
9
1996
Multivariate balanced vector-valued refinable functions. Zbl 1034.42035
Chui, Charles K.; Jiang, Qingtang
9
2003
Bounded approximation by polynomials with restricted zeros. Zbl 0179.38201
Chui, C. K-T.
9
1967
A representation formula for harmonic functions. Zbl 0262.31001
Ching, Chin-Hung; Chui, Charles K.
9
1973
Padé approximants as limits of best rational approximants. Zbl 0288.41007
Chui, Charles K.; Shisha, Oved; Smith, Philip W.
9
1974
Approximation by double least-squares inverses. Zbl 0438.41007
Chui, Charles K.
9
1980
On \(L^ p\)-boundedness of affine frame operators. Zbl 0789.42027
Chui, Charles K.; Shi, Xianliang
9
1993
\(n\times\) oversampling preserves any tight affine frame for odd \(n\). Zbl 0802.41015
Chui, Charles K.; Shi, Xianliang
9
1994
Representation of functions on big data associated with directed graphs. Zbl 1378.68134
Chui, Charles K.; Mhaskar, H. N.; Zhuang, Xiaosheng
9
2018
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.
9
2016
Multivariate B-splines on triangulated rectangles. Zbl 0523.41008
Chui, Charles K.; Wang, Ren-Hong
8
1983
Continuous two-scale equations and dyadic wavelets. Zbl 0877.42014
Chui, Charles K.; Shi, Xianliang
8
1994
On spaces of piecewise polynomials with boundary conditions. III. Type-2 triangulations. Zbl 0598.41014
Chui, C. K.; Schumaker, L. L.; Wang, R. H.
8
1983
Characterization of biorthogonal cosine wavelets. Zbl 0913.42026
Chui, Charles K.; Shi, Xianliang
8
1997
Best \(L_2\) local approximation. Zbl 0383.41020
Chui, C. K.; Smith, P. W.; Ward, J. D.
8
1978
Applied mathematics. Data compression, spectral methods, Fourier analysis, wavelets, and applications. Zbl 1279.65001
Chui, Charles K.; Jiang, Qingtang
8
2013
Interpolation by multivariate splines. Zbl 0648.41006
Chui, Charles K.; Diamond, Harvey; Raphael, Louise A.
7
1988
Optimal Lagrange interpolation by quartic \(C^1\) splines on triangulations. Zbl 1156.65009
Chui, C. K.; Hecklin, G.; Nürnberger, G.; Zeilfelder, F.
7
2008
Cholesky factorization of positive definite bi-infinite matrices. Zbl 0503.15006
Chui, C. K.; Ward, J. D.; Smith, P. W.
7
1982
High-order orthonormal scaling functions and wavelets give poor time-frequency localization. Zbl 1055.42507
Chui, Charles K.; Wang, Jianzhong
7
1996
Kalman filtering with real-time applications. 3rd ed. Zbl 0908.93066
Chui, Charles K.; Chen, Guanrong
7
1998
Bounded approximation by polynomials whose zeros lie on a circle. Zbl 0174.11504
Chui, C. K.-T.
7
1969
On approximation in the Bers spaces. Zbl 0273.30032
Chui, Charles K.
7
1973
On best data approximation. Zbl 0596.41039
Chui, Charles K.; Diamond, Harvey; Raphael, Louise A.
7
1984
On spaces of piecewise polynomials with boundary conditions. II. Type-1 triangulations. Zbl 0598.41013
Chui, C. K.; Schumaker, L. L.; Wang, R. H.
7
1983
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond. Zbl 07639165
Chui, Charles K.
2
2023
Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies. Zbl 1506.94011
Chui, Charles K.; Jiang, Qingtang; Li, Lin; Lu, Jian
1
2023
Sparse representation of approximation to identity. Zbl 1514.41005
Qu, Wei; Chui, Charles K.; Deng, Guan-Tie; Qian, Tao
4
2022
Super-resolution wavelets for recovery of arbitrarily close point-masses with arbitrarily small coefficients. Zbl 1518.42049
Chui, Charles K.
3
2022
Wavelet thresholding for recovery of active sub-signals of a composite signal from its discrete samples. Zbl 1467.42054
Chui, Charles K.; Han, Ningning
5
2021
Time-scale-chirp\(_-\)rate operator for recovery of non-stationary signal components with crossover instantaneous frequency curves. Zbl 1467.94010
Chui, Charles K.; Jiang, Qingtang; Li, Lin; Lu, Jian
4
2021
Analysis of an adaptive short-time Fourier transform-based multicomponent signal separation method derived from linear chirp local approximation. Zbl 1465.42008
Chui, Charles K.; Jiang, Qingtang; Li, Lin; Lu, Jian
3
2021
On Marcinkiewicz-Zygmund inequalities and \(A_p\)-weights for \(L\)-shape arcs. Zbl 1475.30027
Chui, Charles K.; Zhong, Lefan
2
2021
Signal separation based on adaptive continuous wavelet-like transform and analysis. Zbl 1467.94009
Chui, Charles K.; Jiang, Qingtang; Li, Lin; Lu, Jian
1
2021
Deep neural networks for rotation-invariance approximation and learning. Zbl 1423.68378
Chui, Charles K.; Lin, Shao-Bo; Zhou, Ding-Xuan
14
2019
A unified method for super-resolution recovery and real exponential-sum separation. Zbl 1414.85002
Chui, Charles K.; Mhaskar, H. N.
4
2019
Representation of functions on big data associated with directed graphs. Zbl 1378.68134
Chui, Charles K.; Mhaskar, H. N.; Zhuang, Xiaosheng
9
2018
A Fourier-invariant method for locating point-masses and computing their attributes. Zbl 1395.42071
Chui, Charles K.; Mhaskar, H. N.
3
2018
Kalman filtering. With real-time applications. 5th edition. Zbl 1416.93001
Chui, Charles K.; Chen, Guanrong
7
2017
Signal decomposition and analysis via extraction of frequencies. Zbl 1330.94013
Chui, Charles K.; Mhaskar, H. N.
24
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
15
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.
9
2016
Multirate systems with shortest spline-wavelet filters. Zbl 1342.42038
Chui, Charles K.; de Villiers, Johan; Zhuang, Xiaosheng
2
2016
Signal analysis via instantaneous frequency estimation of signal components. Zbl 1322.94028
Chui, Charles K.; van der Walt, Maria D.
12
2015
Representation of functions on big data: graphs and trees. Zbl 1329.62033
Chui, C. K.; Filbir, F.; Mhaskar, H. N.
11
2015
Smooth function extension based on high dimensional unstructured data. Zbl 1297.41002
Chui, Charles K.; Mhaskar, H. N.
7
2014
Applied mathematics. Data compression, spectral methods, Fourier analysis, wavelets, and applications. Zbl 1279.65001
Chui, Charles K.; Jiang, Qingtang
8
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
7
2012
Wavelet subdivision methods. GEMS for rendering curves and surfaces. Zbl 1202.42001
Chui, Charles; De Villiers, Johan
17
2011
Randomized anisotropic transform for nonlinear dimensionality reduction. Zbl 1204.68271
Chui, Charles K.; Wang, Jianzhong
6
2010
Tight frames of compactly supported multivariate multi-wavelets. Zbl 1190.65203
Charina, Maria; Chui, Charles K.; He, Wenjie
6
2010
Dimensionality reduction of hyperspectral imagery data for feature classification. Zbl 1197.86004
Chui, Charles K.; Wang, Jianzhong
5
2010
MRA contextual-recovery extension of smooth functions on manifolds. Zbl 1198.94025
Chui, Charles K.; Mhaskar, H. N.
2
2010
Kalman filtering. With real-time applications. 4th ed. Zbl 1206.93110
Chui, Charles K.; Chen, Guanrong
22
2009
PDE models associated with the bilateral filter. Zbl 1170.94304
Chui, Charles K.; Wang, Jianzhong
4
2009
An ideal spline-wavelet family for curve design and editing. Zbl 1169.42016
Chui, Charles K.; De Villiers, Johan
4
2009
An MRA approach to surface completion and image inpainting. Zbl 1189.68162
Chui, Charles K.
2
2009
Matrix-valued 4-point spline and 3-point non-spline interpolatory curve subdivision schemes. Zbl 1205.65047
Chui, Charles K.; Jiang, Qingtang
1
2009
Optimal Lagrange interpolation by quartic \(C^1\) splines on triangulations. Zbl 1156.65009
Chui, C. K.; Hecklin, G.; Nürnberger, G.; Zeilfelder, F.
7
2008
From extension of Loop’s approximation scheme to interpolatory subdivisions. Zbl 1172.65306
Chui, Charles K.; Jiang, Qingtang
5
2008
Triangular \(\sqrt 7\) and quadrilateral \(\sqrt 5\) subdivision schemes: regular case. Zbl 1133.68077
Chui, Charles K.; Jiang, Qingtang; Ndao, Rokhaya N.
4
2008
Wavelet-based minimal-energy approach to image restoration. Zbl 1118.68175
Chui, Charles K.; Wang, Jianzhong
4
2007
Affine frame decompositions and shift-invariant spaces. Zbl 1091.42021
Chui, Charles K.; Sun, Qiyu
18
2006
Matrix-valued subdivision schemes for generating surfaces with extraordinary vertices. Zbl 1094.65016
Chui, Charles K.; Jiang, Qingtang
11
2006
Refinable bivariate quartic and quintic \(C^{2}\)-splines for quadrilateral subdivisions. Zbl 1100.65013
Chui, Charles K.; Jiang, Qingtang
5
2006
Construction of orthonormal multi-wavelets with additional vanishing moments. Zbl 1115.65133
Chui, Charles K.; Lian, Jian-ao
3
2006
Nonstationary tight wavelet frames. II: Unbounded intervals. Zbl 1067.42022
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
22
2005
Balanced multi-wavelets in \(\mathbb R^s\). Zbl 1061.42023
Chui, Charles K.; Jiang, Qingtang
19
2005
Matrix-valued symmetric templates for interpolatory surface subdivisions. I: Regular vertices. Zbl 1081.68115
Chui, Charles K.; Jiang, Qingtang
14
2005
Refinable bivariate quartic \(C^2\)-splines for multi-level data representation and surface display. Zbl 1071.65011
Chui, Charles K.; Jiang, Qingtang
7
2005
A symmetric image encryption scheme based on 3D chaotic cat maps. Zbl 1049.94009
Chen, Guanrong; Mao, Yaobin; Chui, Charles K.
171
2004
Nonstationary tight wavelet frames. I: Bounded intervals. Zbl 1067.42021
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
24
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
29
2003
Surface subdivision schemes generated by refinable bivariate spline function vectors. Zbl 1026.68145
Chui, Charles K.; Jiang, Qingtang
16
2003
Multivariate balanced vector-valued refinable functions. Zbl 1034.42035
Chui, Charles K.; Jiang, Qingtang
9
2003
Tight frame oversampling and its equivalence to shift-invariance of affine frame operators. Zbl 1013.42024
Chui, Charles K.; Sun, Qiyu
5
2003
Recent development of spline wavelet frames with compact support. Zbl 1083.42027
Chui, Charles; Stöckler, Joachim
4
2003
Shannon wavelet approach to sub-band coding. Zbl 1055.94002
Chui, Charles K.; Wang, Jianzhong
2
2003
Compactly supported tight and sibling frames with maximum vanishing moments. Zbl 1016.42023
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
134
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
31
2002
Gabor frames with arbitrary windows. Zbl 1029.42027
Bittner, Kai; Chui, Charles K.
3
2002
Tight frames with maximum vanishing moments and minimum support. Zbl 1039.42031
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
2
2002
Nonstationary wavelets and refinement sequences of nonuniform B-splines. Zbl 1024.42020
Chui, Charles K.; Lian, Jian-ao
1
2002
Multilevel structure of NURBS and formulation of NURBlets. Zbl 1054.42023
Chui, Charles K.; Lian, Jian-Ao
1
2002
Construction of multivariate tight frames via Kronecker products. Zbl 1029.42028
Chui, Charles K.; He, Wenjie
16
2001
Compactly supported tight frames associated with refinable functions. Zbl 0948.42022
Chui, Charles K.; He, Wenjie
96
2000
Orthonormal wavelets and tight frames with arbitrary real dilations. Zbl 0967.42023
Chui, Charles K.; Shi, Xianliang
52
2000
Filling polygonal holes using \(C^{1}\) cubic triangular spline patches. Zbl 0938.68122
Chui, C. K.; Lai, M.-J.
12
2000
Wavelets of Wilson type with arbitrary shapes. Zbl 0947.42022
Chui, Charles K.; Shi, Xianliang
1
2000
Algorithms for \(G^1\) connection of multiple parametric bicubic NURBS surfaces. Zbl 0957.65007
Chui, Charles K.; Lai, Ming-Jun; Lian, Jian-ao
1
2000
Polynomial interpolation and Marcinkiewicz-Zygmund inequalities on the unit circle. Zbl 1054.30033
Chui, Charles K.; Zhong, Lefan
10
1999
From local cosine bases to global harmonics. Zbl 0932.42029
Bittner, Kai; Chui, Charles K.
1
1999
Affine frames, quasi-affine frames, and their duals. Zbl 0892.42019
Chui, Charles K.; Shi, Xianliang; Stöckler, Joachim
40
1998
Kalman filtering with real-time applications. 3rd ed. Zbl 0908.93066
Chui, Charles K.; Chen, Guanrong
7
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.
4
1998
Real-time simultaneous estimation and decomposition of random signals. Zbl 0907.93057
Hong, Lang; Chen, Guanrong; Chui, Charles K.
1
1998
Approximation theory IX. Volume 2. Computational aspects. Proceedings of the 9th international conference, Nashville, TN, USA, January 3–6, 1998. Zbl 0910.00047
1
1998
Wavelets: a mathematical tool for signal analysis. Zbl 0903.94007
Chui, Charles K.
101
1997
A study of asymptotically optimal time-frequency localization by scaling functions and wavelets. Zbl 0883.42030
Chui, C. K.; Wang, J. Z.
11
1997
Characterization of biorthogonal cosine wavelets. Zbl 0913.42026
Chui, Charles K.; Shi, Xianliang
8
1997
Inequalities on matrix-dilated Littlewood-Paley energy functions and oversampled affine operators. Zbl 0869.42011
Chui, Charles K.; Shi, Xianliang
7
1997
A study of biorthogonal sinusoidal wavelets. Zbl 0936.42019
Chui, Charles K.; Shi, Xianliang
6
1997
Swapping edges of arbitrary triangulations to achieve the optimal order of approximation. Zbl 0889.41014
Chui, Charles K.; Hong, Dong
6
1997
Discrete \(H^\infty\)-optimization. With applications in signal processing and control systems. 2nd ed. Zbl 0912.93002
Chui, Charles K.; Chen, Guanrong
3
1997
Multivariate cosine wavelets. Zbl 0891.42023
Bittner, Kai; Chui, Charles K.; Prestin, Jürgen
2
1997
A study of orthonormal multi-wavelets. Zbl 0877.65098
Chui, Charles K.; Lian, Jian-ao
77
1996
Analytic wavelets generated by radial functions. Zbl 0855.65145
Chui, C. K.; Stöckler, J.; Ward, J. D.
22
1996
Limitations of the approximation capabilities of neural networks with one hidden layer. Zbl 0855.41026
Chui, C. K.; Li, Xin; Mhaskar, H. N.
20
1996
Construction of local \(C^ 1\) quartic spline elements for optimal-order approximation. Zbl 0854.41020
Chui, Charles K.; Hong, Dong
9
1996
Applications of optimally local interpolation to interpolatory approximants and compactly supported wavelets. Zbl 0860.41005
Chui, Charles K.; De Villiers, Johan M.
9
1996
High-order orthonormal scaling functions and wavelets give poor time-frequency localization. Zbl 1055.42507
Chui, Charles K.; Wang, Jianzhong
7
1996
Dyadic affine decompositions and functional wavelet transforms. Zbl 0849.42022
Chui, Charles K.; Li, Chun
6
1996
On stability bounds of perturbed multivariate trigonometric systems. Zbl 0876.42019
Chui, Charles K.; Shi, Xianliang
3
1996
Wavelets for analyzing scattered data: An unbounded operator approach. Zbl 0855.42023
Chui, C. K.; Ward, J. D.; Jetter, K.; Stöckler, J.
2
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.
49
1995
Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale \(=3\). Zbl 0814.42016
Chui, Charles K.; Lian, Jian-Ao
40
1995
Stability of optimal-order approximation by bivariate splines over arbitrary triangulations. Zbl 0841.41017
Chui, C. K.; Hong, D.; Jia, R. Q.
12
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.
2
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
1
1995
Multivariate interpolating wavelets. Zbl 0927.42013
Chui, Charles K.; Li, Chun
1
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
1
1995
Neural networks for localized approximation. Zbl 0806.41020
Chui, C. K.; Li, Xin; Mhaskar, H. N.
33
1994
A general framework of multivariate wavelets with duals. Zbl 0810.42019
Chui, Charles K.; Li, Chun
17
1994
\(n\times\) oversampling preserves any tight affine frame for odd \(n\). Zbl 0802.41015
Chui, Charles K.; Shi, Xianliang
9
1994
Continuous two-scale equations and dyadic wavelets. Zbl 0877.42014
Chui, Charles K.; Shi, Xianliang
8
1994
...and 165 more Documents
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Cited by 3,256 Authors

125 Chui, Charles Kam-tai
36 Sun, Wenchang
33 Han, Bin
33 Jiang, Qingtang
27 Shen, Zuowei
26 Yang, Shouzhi
25 Mhaskar, Hrushikesh N.
24 Lai, Mingjun
24 Nestoridis, Vassili
22 Ward, Joseph Dinneen
21 Sun, Qiyu
21 Zhuang, Xiaosheng
20 Lakestani, Mehrdad
19 Zhou, Xingwei
18 Stöckler, Joachim
17 Chen, Guanrong
17 Shah, Firdous Ahmad
16 Charina, Maria
16 Christensen, Ole
16 Dehghan Takht Fooladi, Mehdi
16 Goh, Say Song
16 Ron, Amos
16 Shi, Xianliang
16 Wang, Renhong
15 Chen, Qingjiang
15 Guo, Xunxiang
15 Jia, Rong-Qing
15 Sablonnière, Paul
15 Sbibih, Driss
15 Speleers, Hendrik
15 Wang, Jianzhong
14 Cao, Feilong
14 Cheng, Zhengxing
14 Lee, Seng Luan
14 Li, Yunzhang
14 Liao, Xiaofeng
14 Zhang, Zhihua
13 Dahmen, Wolfgang A.
13 Kim, Hong Oh
13 Kim, Rae Young
13 Manni, Carla
13 Prasad, Akhilesh
13 San Antolín, Angel
13 Wang, Xingyuan
13 Zhou, Dingxuan
12 Billings, Stephen A.
12 Cui, Lihong
12 Micchelli, Charles A.
11 Ahmad, Owais
11 Goodman, Timothy N. T.
11 Ismailov, Vugar E.
11 Li, Dengfeng
11 Li, Youfa
11 Smith, Philip W.
10 Conti, Costanza
10 Cuenya, Héctor Hugo
10 De Villiers, Johan Marthinus
10 Jetter, Kurt
10 Lal, Shyam
10 Levis, Fabián Eduardo
10 Peng, Lizhong
10 Prestin, Jurgen
10 Razzaghi, Mohsen
10 Romani, Lucia
10 Tijini, Ahmed
10 Xiang, Jiawei
9 Barrera, Domingo
9 Chen, Xuefeng
9 Dagnino, Catterina
9 He, Tian-Xiao
9 He, Wenjie
9 Jena, Mahendra Kumar
9 Lamberti, Paola
9 Li, Baobin
9 Li, Chengqing
9 Luh, Wolfgang
9 Nigam, Hare Krishna
9 Nürnberger, Günther
9 Remogna, Sara
9 Zalik, Richard A.
9 Zeilfelder, Frank
8 Aldroubi, Akram
8 Bownik, Marcin
8 Černá, Dana
8 Davydov, Oleg V.
8 Dem’yanovich, Yuriĭ Kazimirovich
8 Li, Song
8 Li, Xin
8 Mouze, Augustin
8 Plonka, Gerlind
8 Schumaker, Larry L.
8 Wong, Kwokwo
7 Bhat, Mohammad Younus
7 Daubechies, Ingrid Chantal
7 Debnath, Lokenath
7 Deutsch, Frank
7 Ehler, Martin
7 Gröchenig, Karlheinz
7 Ibáñez, María J.
7 Kutyniok, Gitta
...and 3,156 more Authors
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Cited in 440 Serials

203 Applied and Computational Harmonic Analysis
145 Journal of Approximation Theory
125 Journal of Computational and Applied Mathematics
98 International Journal of Wavelets, Multiresolution and Information Processing
73 Applied Mathematics and Computation
66 Journal of Mathematical Analysis and Applications
63 Advances in Computational Mathematics
53 The Journal of Fourier Analysis and Applications
52 Chaos, Solitons and Fractals
49 Computers & Mathematics with Applications
49 Mathematics of Computation
46 Proceedings of the American Mathematical Society
44 Computer Aided Geometric Design
39 Constructive Approximation
34 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
29 Numerical Functional Analysis and Optimization
29 Communications in Nonlinear Science and Numerical Simulation
26 Mathematics and Computers in Simulation
26 Applied Numerical Mathematics
25 Mathematical Problems in Engineering
24 Journal of Computational Physics
23 Numerical Algorithms
23 Nonlinear Dynamics
22 Information Sciences
22 Acta Mathematica Sinica. English Series
21 Transactions of the American Mathematical Society
21 Analysis and Applications (Singapore)
20 Numerische Mathematik
20 Neural Networks
20 International Journal of Computer Mathematics
19 Engineering Analysis with Boundary Elements
18 Computer Methods in Applied Mechanics and Engineering
18 Results in Mathematics
18 Circuits, Systems, and Signal Processing
17 Journal of Mathematical Sciences (New York)
16 Applicable Analysis
15 Journal of Inequalities and Applications
14 Journal of the Franklin Institute
14 International Journal for Numerical Methods in Engineering
14 Mathematical and Computer Modelling
14 Linear Algebra and its Applications
13 Applied Mathematics. Series B (English Edition)
13 Integral Transforms and Special Functions
12 Automatica
12 Applied Mathematical Modelling
11 Rocky Mountain Journal of Mathematics
11 Analysis in Theory and Applications
11 International Journal of Applied and Computational Mathematics
10 Computer Physics Communications
10 Mathematical Methods in the Applied Sciences
10 Mathematical Notes
10 Numerical Methods for Partial Differential Equations
10 Applied Mathematics Letters
10 Science in China. Series A
10 Signal Processing
10 Science China. Mathematics
9 BIT
9 Journal of Functional Analysis
9 Mathematische Nachrichten
9 Acta Applicandae Mathematicae
9 Computational Mechanics
9 Abstract and Applied Analysis
8 Analysis Mathematica
8 Physica A
8 Monatshefte für Mathematik
8 Physica D
8 Multidimensional Systems and Signal Processing
8 The Journal of Geometric Analysis
8 The Journal of Analysis
8 Science in China. Series F
8 Complex Variables and Elliptic Equations
8 Complex Analysis and Operator Theory
7 International Journal of Theoretical Physics
7 The Annals of Statistics
7 Journal of Optimization Theory and Applications
7 Proceedings of the Edinburgh Mathematical Society. Series II
7 Statistics & Probability Letters
7 Journal of Complexity
7 Journal of Scientific Computing
7 Computational Statistics and Data Analysis
7 Computational and Applied Mathematics
7 Computational Methods and Function Theory
7 Boletim da Sociedade Paranaense de Matemática. Terceira Série
6 Journal d’Analyse Mathématique
6 Computing
6 Communications in Statistics. Theory and Methods
6 Journal of Mathematical Imaging and Vision
6 Filomat
6 Journal of Nonparametric Statistics
6 Analysis (München)
6 Journal of Applied Mathematics and Computing
6 Mediterranean Journal of Mathematics
5 International Journal of Systems Science
5 Mathematische Annalen
5 Mathematische Zeitschrift
5 Advances in Applied Mathematics
5 Applied Mathematics and Mechanics. (English Edition)
5 Stochastic Analysis and Applications
5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
5 Pattern Recognition
...and 340 more Serials
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Cited in 59 Fields

1,093 Harmonic analysis on Euclidean spaces (42-XX)
998 Numerical analysis (65-XX)
759 Approximations and expansions (41-XX)
414 Information and communication theory, circuits (94-XX)
188 Computer science (68-XX)
165 Functional analysis (46-XX)
143 Partial differential equations (35-XX)
142 Systems theory; control (93-XX)
134 Statistics (62-XX)
127 Functions of a complex variable (30-XX)
101 Dynamical systems and ergodic theory (37-XX)
83 Operator theory (47-XX)
76 Integral equations (45-XX)
70 Mechanics of deformable solids (74-XX)
66 Integral transforms, operational calculus (44-XX)
66 Biology and other natural sciences (92-XX)
63 Ordinary differential equations (34-XX)
58 Probability theory and stochastic processes (60-XX)
52 Real functions (26-XX)
52 Operations research, mathematical programming (90-XX)
50 Abstract harmonic analysis (43-XX)
41 Fluid mechanics (76-XX)
38 Linear and multilinear algebra; matrix theory (15-XX)
36 Number theory (11-XX)
31 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
30 Quantum theory (81-XX)
27 Sequences, series, summability (40-XX)
26 Special functions (33-XX)
25 Calculus of variations and optimal control; optimization (49-XX)
21 Difference and functional equations (39-XX)
20 Combinatorics (05-XX)
17 Optics, electromagnetic theory (78-XX)
16 Mechanics of particles and systems (70-XX)
16 Statistical mechanics, structure of matter (82-XX)
15 Geophysics (86-XX)
13 Potential theory (31-XX)
11 Measure and integration (28-XX)
10 Commutative algebra (13-XX)
9 Several complex variables and analytic spaces (32-XX)
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7 Global analysis, analysis on manifolds (58-XX)
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