-
1
-
-
0004307177
-
-
third ed. Cambridge Univ. Press
-
G.H. Hardy, and W.W. Rogosinski Fourier Series third ed. 1956 Cambridge Univ. Press republished by Dover Publications, 1999
-
(1956)
Fourier Series
-
-
Hardy, G.H.1
Rogosinski, W.W.2
-
2
-
-
84953751498
-
-
third ed. Cambridge Mathematical Library/Cambridge Univ. Press
-
A. Zygmund Trigonometric Series third ed. 2003 Cambridge Mathematical Library/Cambridge Univ. Press vols. I and II combined
-
(2003)
Trigonometric Series
-
-
Zygmund, A.1
-
5
-
-
0000139676
-
2 for the sparse representation of integral operators
-
2 for the sparse representation of integral operators SIAM J. Math. Anal. 24 1 1993 246 262
-
(1993)
SIAM J. Math. Anal.
, vol.24
, Issue.1
, pp. 246-262
-
-
Alpert, B.K.1
-
8
-
-
0025445496
-
Lapped transforms for efficient transform/subband coding
-
H.S. Malvar Lapped transforms for efficient transform/subband coding IEEE Trans. Acoust. Speech Signal Process. 38 1990 969 978
-
(1990)
IEEE Trans. Acoust. Speech Signal Process.
, vol.38
, pp. 969-978
-
-
Malvar, H.S.1
-
9
-
-
0028393346
-
Adapted multiple folding local trigonometric transforms and wavelet packets
-
X. Fang, and E. Séré Adapted multiple folding local trigonometric transforms and wavelet packets Appl. Comput. Harmon. Anal. 1 1994 169 179
-
(1994)
Appl. Comput. Harmon. Anal.
, vol.1
, pp. 169-179
-
-
Fang, X.1
Séré, E.2
-
10
-
-
0035276601
-
Adapted bases of time-frequency local cosines
-
L.F. Villemoes Adapted bases of time-frequency local cosines Appl. Comput. Harmon. Anal. 10 2001 139 162
-
(2001)
Appl. Comput. Harmon. Anal.
, vol.10
, pp. 139-162
-
-
Villemoes, L.F.1
-
11
-
-
77956456169
-
Analytic extensions of differentiable functions defined in closed sets
-
H. Whitney Analytic extensions of differentiable functions defined in closed sets Trans. Amer. Math. Soc. 36 1 1934 63 89
-
(1934)
Trans. Amer. Math. Soc.
, vol.36
, Issue.1
, pp. 63-89
-
-
Whitney, H.1
-
12
-
-
0035765620
-
The continuous boundary local Fourier transform
-
A.F. Laine M.A. Unser A. Aldroubi Wavelets IX
-
B. Larson, and N. Saito The continuous boundary local Fourier transform A.F. Laine M.A. Unser A. Aldroubi Wavelets IX Proc. SPIE vol. 4478 2001 415 426
-
(2001)
Proc. SPIE
, vol.4478
, pp. 415-426
-
-
Larson, B.1
Saito, N.2
-
13
-
-
1242317561
-
-
Ph.D. thesis, Department of Mathematics, University of California, Davis
-
B. Larson, The continuous boundary local trigonometric transform, Ph.D. thesis, Department of Mathematics, University of California, Davis, 2002
-
(2002)
The Continuous Boundary Local Trigonometric Transform
-
-
Larson, B.1
-
17
-
-
0038508524
-
Oscillating Patterns in Image Processing and Nonlinear Evolution Equations
-
AMS Providence, RI
-
Y. Meyer Oscillating Patterns in Image Processing and Nonlinear Evolution Equations Univ. Lecture Ser. vol. 22 2001 AMS Providence, RI
-
(2001)
Univ. Lecture Ser.
, vol.22
-
-
Meyer, Y.1
-
19
-
-
0001361205
-
A fast Poisson solver of arbitrary order accuracy in rectangular regions
-
A. Averbuch, M. Israeli, and L. Vozovoi A fast Poisson solver of arbitrary order accuracy in rectangular regions SIAM J. Sci. Comput. 19 3 1998 933 952
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, Issue.3
, pp. 933-952
-
-
Averbuch, A.1
Israeli, M.2
Vozovoi, L.3
-
23
-
-
0000044932
-
The discrete cosine transform
-
G. Strang The discrete cosine transform SIAM Rev. 41 1 1999 135 147
-
(1999)
SIAM Rev.
, vol.41
, Issue.1
, pp. 135-147
-
-
Strang, G.1
-
24
-
-
85009724776
-
Nonlinear approximation
-
Cambridge Univ. Press
-
R.A. DeVore Nonlinear approximation Acta Numerica 1998 Cambridge Univ. Press 51 150
-
(1998)
Acta Numerica
, pp. 51-150
-
-
Devore, R.A.1
-
25
-
-
0001295624
-
Orthonormal bases of compactly supported wavelets. II. Variations on a theme
-
I. Daubechies Orthonormal bases of compactly supported wavelets. II. Variations on a theme SIAM J. Math. Anal. 24 2 1993 499 519
-
(1993)
SIAM J. Math. Anal.
, vol.24
, Issue.2
, pp. 499-519
-
-
Daubechies, I.1
-
27
-
-
32044443305
-
Sparsity vs. statistical independence in adaptive signal representations: A case study of the spike process
-
G.V. Welland Beyond Wavelets Academic Press San Diego, CA
-
B. Bénichou, and N. Saito Sparsity vs. statistical independence in adaptive signal representations: A case study of the spike process G.V. Welland Beyond Wavelets Stud. Comput. Math. vol. 10 2003 Academic Press San Diego, CA 225 257 Ch. 9
-
(2003)
Stud. Comput. Math.
, vol.10
, pp. 225-257
-
-
Bénichou, B.1
Saito, N.2
-
28
-
-
32044454784
-
The generalized spike process, sparsity, and statistical independence
-
D. Rockmore J.D. Healy Modern Signal Processing Cambridge Univ. Press
-
N. Saito The generalized spike process, sparsity, and statistical independence D. Rockmore J.D. Healy Modern Signal Processing MSRI Publications vol. 46 2004 Cambridge Univ. Press 317 340
-
(2004)
MSRI Publications
, vol.46
, pp. 317-340
-
-
Saito, N.1
-
29
-
-
1942436689
-
Image quality assessment: From error measurement to structural similarity
-
Z. Wang, A.C. Bovik, H.R. Sheikh, and E.P. Simoncelli Image quality assessment: From error measurement to structural similarity IEEE Trans. Image Process. 13 4 2004 600 613
-
(2004)
IEEE Trans. Image Process.
, vol.13
, Issue.4
, pp. 600-613
-
-
Wang, Z.1
Bovik, A.C.2
Sheikh, H.R.3
Simoncelli, E.P.4
-
31
-
-
0026818192
-
The JPEG still picture compression standard
-
G.K. Wallace The JPEG still picture compression standard IEEE Trans. Consumer Electron. 38 1 1992 xviii xxxiv
-
(1992)
IEEE Trans. Consumer Electron.
, vol.38
, Issue.1
-
-
Wallace, G.K.1
-
34
-
-
0141879236
-
Model selection and the principle of minimum description length
-
M.H. Hansen, and B. Yu Model selection and the principle of minimum description length J. Amer. Statist. Assoc. 96 454 2001 746 774
-
(2001)
J. Amer. Statist. Assoc.
, vol.96
, Issue.454
, pp. 746-774
-
-
Hansen, M.H.1
Yu, B.2
-
35
-
-
0001863842
-
Constructing simple stable descriptions for image partitioning
-
Y.G. Leclerc Constructing simple stable descriptions for image partitioning Intern. J. Computer Vision 3 1989 73 102
-
(1989)
Intern. J. Computer Vision
, vol.3
, pp. 73-102
-
-
Leclerc, Y.G.1
-
36
-
-
85011629828
-
Simultaneous noise suppression and signal compression using a library of orthonormal bases and the minimum description length criterion
-
E. Foufoula-Georgiou P. Kumar Academic Press San Diego, CA
-
N. Saito Simultaneous noise suppression and signal compression using a library of orthonormal bases and the minimum description length criterion E. Foufoula-Georgiou P. Kumar Wavelets in Geophysics 1994 Academic Press San Diego, CA 299 324 Ch. XI
-
(1994)
Wavelets in Geophysics
, pp. 299-324
-
-
Saito, N.1
-
37
-
-
0034258869
-
Adaptive wavelet thresholding for image denoising and compression
-
S.G. Chang, B. Yu, and M. Vetterli Adaptive wavelet thresholding for image denoising and compression IEEE Trans. Image Process. 9 9 2000 1532 1546
-
(2000)
IEEE Trans. Image Process.
, vol.9
, Issue.9
, pp. 1532-1546
-
-
Chang, S.G.1
Yu, B.2
Vetterli, M.3
-
38
-
-
0034250772
-
Wavelet thresholding via MDL: Simultaneous denoising and compression
-
M. Hansen, and B. Yu Wavelet thresholding via MDL: Simultaneous denoising and compression IEEE Trans. Inform. Theory 46 5 2000 1778 1788
-
(2000)
IEEE Trans. Inform. Theory
, vol.46
, Issue.5
, pp. 1778-1788
-
-
Hansen, M.1
Yu, B.2
-
39
-
-
0034298708
-
A mathematical analysis of the DCT coefficient distributions for images
-
E.Y. Lam, and J.W. Goodman A mathematical analysis of the DCT coefficient distributions for images IEEE Trans. Image Process. 9 10 2000 1661 1666
-
(2000)
IEEE Trans. Image Process.
, vol.9
, Issue.10
, pp. 1661-1666
-
-
Lam, E.Y.1
Goodman, J.W.2
-
41
-
-
21844508292
-
Nonlinear approximation by trigonometric sums
-
R.A. DeVore, and V.N. Temlyakov Nonlinear approximation by trigonometric sums J. Fourier Anal. Appl. 2 1 1995 29 48
-
(1995)
J. Fourier Anal. Appl.
, vol.2
, Issue.1
, pp. 29-48
-
-
Devore, R.A.1
Temlyakov, V.N.2
-
42
-
-
0000981459
-
Brushlets: A tool for directional image analysis and image compression
-
F.G. Meyer, and R.R. Coifman Brushlets: A tool for directional image analysis and image compression Appl. Comput. Harmon. Anal. 4 1997 147 187
-
(1997)
Appl. Comput. Harmon. Anal.
, vol.4
, pp. 147-187
-
-
Meyer, F.G.1
Coifman, R.R.2
-
44
-
-
30844453891
-
Improvement of DCT-based compression algorithms using Poisson's equation
-
Department of Mathematics, University of California, Davis in preparation
-
K. Yamatani, N. Saito, Improvement of DCT-based compression algorithms using Poisson's equation, Technical report, Department of Mathematics, University of California, Davis, 2005, in preparation
-
(2005)
Technical Report
-
-
Yamatani, K.1
Saito, N.2
-
45
-
-
32044446844
-
-
Ph.D. thesis, Department of Mathematics, University of California, Davis in preparation
-
N. Smith, The higher dimensional extension of the polyharmonic local trigonometric transforms, Ph.D. thesis, Department of Mathematics, University of California, Davis, 2005, in preparation
-
(2005)
The Higher Dimensional Extension of the Polyharmonic Local Trigonometric Transforms
-
-
Smith, N.1
-
50
-
-
0003398168
-
-
Prentice-Hall Englewood Cliffs, NJ
-
C. Lanczos Applied Analysis 1956 Prentice-Hall Englewood Cliffs, NJ republished by Dover Publications, 1988
-
(1956)
Applied Analysis
-
-
Lanczos, C.1
-
53
-
-
1242272628
-
Fourier series of heightened convergence for functions defined in a given interval
-
A.S. Maliev Fourier series of heightened convergence for functions defined in a given interval Izv. AN SSSR OMEN 10 1932 1437 1450
-
(1932)
Izv. AN SSSR OMEN
, vol.10
, pp. 1437-1450
-
-
Maliev, A.S.1
-
54
-
-
1242295051
-
On the expansion in Fourier series of heightened convergence of functions defined in a given interval
-
A.S. Maliev On the expansion in Fourier series of heightened convergence of functions defined in a given interval Izv. AN SSSR OMEN 8 1933 1113 1120 (in Russian)
-
(1933)
Izv. AN SSSR OMEN
, vol.8
, pp. 1113-1120
-
-
Maliev, A.S.1
-
56
-
-
38249020082
-
Polyharmonic cardinal splines
-
W.R. Madych, and S.A. Nelson Polyharmonic cardinal splines J. Approx. Theory 60 2 1990 141 156
-
(1990)
J. Approx. Theory
, vol.60
, Issue.2
, pp. 141-156
-
-
Madych, W.R.1
Nelson, S.A.2
-
57
-
-
38249017388
-
Polyharmonic cardinal splines: A minimization property
-
W.R. Madych, and S.A. Nelson Polyharmonic cardinal splines: A minimization property J. Approx. Theory 63 3 1990 303 320
-
(1990)
J. Approx. Theory
, vol.63
, Issue.3
, pp. 303-320
-
-
Madych, W.R.1
Nelson, S.A.2
-
58
-
-
22044447135
-
Minimizing the Laplacian of a function squared with prescribed values on interior boundaries - Theory of polysplines
-
O.I. Kounchev Minimizing the Laplacian of a function squared with prescribed values on interior boundaries - Theory of polysplines Trans. Amer. Math. Soc. 350 5 1998 2105 2128
-
(1998)
Trans. Amer. Math. Soc.
, vol.350
, Issue.5
, pp. 2105-2128
-
-
Kounchev, O.I.1
-
60
-
-
84966240586
-
Fourier coefficients of functions of bounded variation
-
M. Taibleson Fourier coefficients of functions of bounded variation Proc. Amer. Math. Soc. 18 4 1967 766
-
(1967)
Proc. Amer. Math. Soc.
, vol.18
, Issue.4
, pp. 766
-
-
Taibleson, M.1
|