-
1
-
-
0001213151
-
Fractal functions and interpolation
-
BARNSLEY, M. F. (1986) Fractal functions and interpolation. Constr. Approx., 2, 303-329.
-
(1986)
Constr. Approx.
, vol.2
, pp. 303-329
-
-
Barnsley, M.F.1
-
2
-
-
0004227619
-
-
2nd ed. San Diego, CA: Academic Press Professional
-
BARNSLEY, M. F. (1993) Fractals Everywhere, 2nd ed. San Diego, CA: Academic Press Professional.
-
(1993)
Fractals Everywhere
-
-
Barnsley, M.F.1
-
3
-
-
0022421231
-
ITERATED FUNCTION SYSTEMS AND THE GLOBAL CONSTRUCTION OF FRACTALS.
-
BARNSLEY, M. F. & DEMKO, S. (1985) Iterated function systems and the global construction of fractals. Proc. R. Soc. Lond. Ser. A, 399, 243-275. (Pubitemid 15563350)
-
(1985)
Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences
, vol.399
, Issue.1817
, pp. 243-275
-
-
Barnsley, M.F.1
Demko, S.2
-
4
-
-
0000625037
-
Recurrent iterated function systems
-
BARNSLEY, M. F., ELTON, J. H. & HARDIN, D. P. (1989) Recurrent iterated function systems. Constr. Approx., 5, 3-31.
-
(1989)
Constr. Approx.
, vol.5
, pp. 3-31
-
-
Barnsley, M.F.1
Elton, J.H.2
Hardin, D.P.3
-
5
-
-
0002036251
-
Hölder exponents and box dimension for self-affine fractal functions
-
BEDFORD, T. (1989) Hölder exponents and box dimension for self-affine fractal functions. Constr. Approx., 5, 33-48.
-
(1989)
Constr. Approx.
, vol.5
, pp. 33-48
-
-
Bedford, T.1
-
6
-
-
34547507933
-
A general construction of fractal interpolation functions on grids of Rn
-
BOUBOULIS, P. & DALLA, L. (2007a) A general construction of fractal interpolation functions on grids of Rn. Eur. J. Appl. Math., 18, 449-476.
-
(2007)
Eur. J. Appl. Math.
, vol.18
, pp. 449-476
-
-
Bouboulis, P.1
Dalla, L.2
-
7
-
-
33750806008
-
Closed fractal interpolation surfaces
-
DOI 10.1016/j.jmaa.2006.04.009, PII S0022247X06003787
-
BOUBOULIS, P. & DALLA, L. (2007b) Closed fractal interpolation surfaces. J. Math. Anal. Appl., 327, 116-126. (Pubitemid 44712496)
-
(2007)
Journal of Mathematical Analysis and Applications
, vol.327
, Issue.1
, pp. 116-126
-
-
Bouboulis, P.1
Dalla, L.2
-
8
-
-
34548075866
-
Fractal interpolation surfaces derived from fractal interpolation functions
-
BOUBOULIS, P. & DALLA, L. (2007c) Fractal interpolation surfaces derived from fractal interpolation functions. J. Math. Anal. Appl., 336, 919-936.
-
(2007)
J. Math. Anal. Appl.
, vol.336
, pp. 919-936
-
-
Bouboulis, P.1
Dalla, L.2
-
9
-
-
33746531216
-
Construction of recurrent bivariate fractal interpolation surfaces and computation of their box-counting dimension
-
DOI 10.1016/j.jat.2006.01.006, PII S0021904506000207
-
BOUBOULIS, P., DALLA, L. & DRAKOPOULOS, V. (2006) Construction of recurrent bivariate fractal interpolation surfaces and computation of their box-counting dimension. J. Approx. Theory, 141, 99-117. (Pubitemid 44138565)
-
(2006)
Journal of Approximation Theory
, vol.141
, Issue.2
, pp. 99-117
-
-
Bouboulis, P.1
Dalla Leoni2
Drakopoulos, V.3
-
10
-
-
0030103777
-
A study of orthonormal multi-wavelets
-
DOI 10.1016/0168-9274(95)00111-5
-
CHUI, C. K. & LIAN, J. (1996) A study of orthonormal multi-wavelets. J. Appl. Numer. Math., 20, 273-298. (Pubitemid 126349435)
-
(1996)
Applied Numerical Mathematics
, vol.20
, Issue.3
, pp. 273-298
-
-
Chui, C.K.1
Lian, J.-A.2
-
11
-
-
0036332919
-
Bivariate fractal interpolation functions on grids
-
DOI 10.1142/S0218348X02000951
-
DALLA, L. (2002) Bivariate fractal interpolation functions on grids. Fractals, 10, 53-58. (Pubitemid 34859889)
-
(2002)
Fractals
, vol.10
, Issue.1
, pp. 53-58
-
-
Dalla, L.1
-
12
-
-
21344488909
-
On the Construction of Multivariate (Pre)Wavelets
-
Wavelets
-
DE BOOR, C., DEVORE, R. A. & RON, A. (1993) On the construction of multivariate (pre)wavelets. Constr. Approx, 9, 123-166. (Pubitemid 24805188)
-
(1993)
Constructive Approximation
, vol.9
, Issue.2-3
, pp. 123
-
-
De Boor, C.1
DeVore, R.A.2
Ron, A.3
-
13
-
-
43949161106
-
The structure of finitely generated shift-invariant spaces in L2(Rd )
-
DE BOOR, C., DEVORE, R. A. & RON, A. (1994) The structure of finitely generated shift-invariant spaces in L2(Rd ). J. Funct. Anal., 119, 37-78.
-
(1994)
J. Funct. Anal.
, vol.119
, pp. 37-78
-
-
De Boor, C.1
Devore, R.A.2
Ron, A.3
-
14
-
-
0030560155
-
Construction of Orthogonal Wavelets Using Fractal Interpolation Functions
-
DONOVAN, G., GERONIMO, J. S., HARDIN, D. P. & MASSOPUST, P. R. (1996) Construction of orthogonal wavelets using fractal interpolation functions. SIAM J. Math. Anal., 27, 1158-1192. (Pubitemid 126088010)
-
(1996)
SIAM Journal on Mathematical Analysis
, vol.27
, Issue.4
, pp. 1158-1192
-
-
Donovan, G.C.1
Geronimo, J.S.2
Hardin, D.P.3
Massopust, P.R.4
-
15
-
-
43949145591
-
Variation and Minkowski dimension of fractal interpolation surface
-
FENG, Z. (2008) Variation and Minkowski dimension of fractal interpolation surface. J. Math. Anal. Appl., 345, 322-334.
-
(2008)
J. Math. Anal. Appl.
, vol.345
, pp. 322-334
-
-
Feng, Z.1
-
16
-
-
0000198839
-
Fractal interpolation surfaces and a related 2-D multiresolution analysis
-
GERONIMO, J. S. & HARDIN, D. (1993) Fractal interpolation surfaces and a related 2-D multiresolution analysis. J. Math. Anal. Appl., 176, 561-586.
-
(1993)
J. Math. Anal. Appl.
, vol.176
, pp. 561-586
-
-
Geronimo, J.S.1
Hardin, D.2
-
17
-
-
0001544864
-
Fractal functions and wavelet expansions based on several scaling functions
-
GERONIMO, J. S., HARDIN, D. P. & MASSOPUST, P. R. (1994) Fractal functions and wavelet expansions based on several scaling functions. J. Approx. Theory, 78, 373-401.
-
(1994)
J. Approx. Theory
, vol.78
, pp. 373-401
-
-
Geronimo, J.S.1
Hardin, D.P.2
Massopust, P.R.3
-
19
-
-
84968481464
-
Wavelets in wandering subspaces
-
GOODMAN, T. N. T., LEE, S. L. & TANG, W. S. (1993)Wavelets in wandering subspaces. Trans. Am. Math. Soc., 338, 639-654.
-
(1993)
Trans. Am. Math. Soc.
, vol.338
, pp. 639-654
-
-
Goodman, T.N.T.1
Lee, S.L.2
Tang, W.S.3
-
20
-
-
0000629355
-
Multiresolution analysis based on fractal functions
-
HARDIN, D. P., KESSLER, B. & MASSOPUST, P. R. (1992) Multiresolution analysis based on fractal functions. J. Approx. Theory, 71, 104-120.
-
(1992)
J. Approx. Theory
, vol.71
, pp. 104-120
-
-
Hardin, D.P.1
Kessler, B.2
Massopust, P.R.3
-
21
-
-
0002016381
-
Biorthogonal multiwavelets on [-1, 1]
-
HARDIN, D. P. & MARASOVICH, J. A. (1999) Biorthogonal multiwavelets on [-1, 1]. Appl. Comput. Harmon. Anal., 7, 34-53.
-
(1999)
Appl. Comput. Harmon. Anal.
, vol.7
, pp. 34-53
-
-
Hardin, D.P.1
Marasovich, J.A.2
-
22
-
-
84971120744
-
Multiresolution and wavelets
-
JIA, R. & SHEN, Z. (1994) Multiresolution and wavelets. Proc. Edingb. Math. Soc., 37, 271-300.
-
(1994)
Proc. Edingb. Math. Soc.
, vol.37
, pp. 271-300
-
-
Jia, R.1
Shen, Z.2
-
24
-
-
0010532406
-
A construction of orthogonal compactly-supported multiwavelets on R2
-
KESSLER, B. (2000) A construction of orthogonal compactly-supported multiwavelets on R2. Appl. Comput. Harmon. Anal., 9, 146-165.
-
(2000)
Appl. Comput. Harmon. Anal.
, vol.9
, pp. 146-165
-
-
Kessler, B.1
-
25
-
-
34047125408
-
Balanced biorthogonal scaling vectors using fractal function macroelements on [0, 1]
-
DOI 10.1016/j.acha.2006.08.001, PII S1063520306000996
-
KESSLER, B. (2007) Balanced biorthogonal scaling vectors using fractal function macroelements on [0, 1]. Appl. Comput. Harmon. Anal., 22, 286-303. (Pubitemid 46528313)
-
(2007)
Applied and Computational Harmonic Analysis
, vol.22
, Issue.3
, pp. 286-303
-
-
Kessler, B.1
-
26
-
-
0030371493
-
An algorithm for matrix extension and wavelet construction
-
DOI 10.1090/S0025-5718-96-00714-4
-
LAWTON, W., LEE, S. L. & SHEN, Z. (1996) An algorithm for matrix extension and wavelet construction. Math. Comput., 65, 723-737. (Pubitemid 126344329)
-
(1996)
Mathematics of Computation
, vol.65
, Issue.214
, pp. 723-737
-
-
Lawton, W.1
Lee, S.L.2
Shen, Z.3
-
27
-
-
24944588289
-
The Minkowski dimension of the bivariate fractal interpolation surfaces
-
DOI 10.1016/j.chaos.2005.05.007, PII S0960077905004686
-
MALYSZ, R. (2006) The Minkowski dimension of the bivariate fractal interpolation surfaces. Chaos Solitons Fractals, 27, 1147-1156. (Pubitemid 41329808)
-
(2006)
Chaos, Solitons and Fractals
, vol.27
, Issue.5
, pp. 1147-1156
-
-
Malysz, R.1
-
31
-
-
0029207792
-
Short wavelets and matrix dilation equations
-
STRANG, G. & STRELA, V. (1995) Short wavelets and matrix dilation equations. IEEE Trans. Signal Process., 43, 108-115.
-
(1995)
IEEE Trans. Signal Process.
, vol.43
, pp. 108-115
-
-
Strang, G.1
Strela, V.2
-
34
-
-
33749567938
-
On smoothness for a class of fractal interpolation surfaces
-
DOI 10.1142/S0218348X06003222
-
WANG, H. Y. (2006) On smoothness for a class of fractal interpolation surfaces. Fractals, 14, 223-230. (Pubitemid 44533722)
-
(2006)
Fractals
, vol.14
, Issue.3
, pp. 223-230
-
-
Wang, H.-Y.1
-
35
-
-
77950531969
-
Design of prefilters for discrete multiwavelet transform
-
XIA, X. G., GERONIMO, J. S., HARDIN, D. P. & SUTER, B. W. (1998) Design of prefilters for discrete multiwavelet transform. IEEE Trans. Signal Process., 46, 1878-11570
-
(1998)
IEEE Trans. Signal Process.
, vol.46
, pp. 1878-11570
-
-
Xia, X.G.1
Geronimo, J.S.2
Hardin, D.P.3
Suter, B.W.4
-
36
-
-
2842612818
-
The study on bivariate fractal interpolation functions and creation of fractal interpolated surfaces
-
XIE, H. & SUN, H. (1997) The study of bivariate fractal interpolation functions and creation of fractal interpolation surfaces. Fractals, 5, 625-634. (Pubitemid 127527812)
-
(1997)
Fractals
, vol.5
, Issue.4
, pp. 625-634
-
-
Xie, H.1
Sun, H.2
-
37
-
-
0029772665
-
Construction and application of fractal interpolation surfaces
-
ZHAO, N. (1996) Construction and application of fractal interpolation surfaces. Vis. Comput., 12, 132-146. (Pubitemid 126559612)
-
(1996)
Visual Computer
, vol.12
, Issue.3
, pp. 132-146
-
-
Zhao, N.1
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