Edit Profile (opens in new tab) Chui, Charles Kam-tai Co-Author Distance Author ID: chui.charles-k Published as: Chui, Charles K.; Chui, C. K.; Chui, Charles; Chi, Charles K.; Chui, C. K.-T.; Chui, C. K-T.; Chui, Ch. K. more...less 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 all top 5 Fields 186 Approximations and expansions (41-XX) 100 Harmonic analysis on Euclidean spaces (42-XX) 60 Numerical analysis (65-XX) 34 Information and communication theory, circuits (94-XX) 31 Functions of a complex variable (30-XX) 21 Systems theory; control (93-XX) 18 General and overarching topics; collections (00-XX) 14 Functional analysis (46-XX) 13 Operator theory (47-XX) 13 Statistics (62-XX) 11 Computer science (68-XX) 5 Integral transforms, operational calculus (44-XX) 5 Probability theory and stochastic processes (60-XX) 4 Biology and other natural sciences (92-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) 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 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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