메뉴 건너뛰기




Volumn 78, Issue 3, 1994, Pages 373-401

Fractal functions and wavelet expansions based on several scaling functions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001544864     PISSN: 00219045     EISSN: 10960430     Source Type: Journal    
DOI: 10.1006/jath.1994.1085     Document Type: Article
Times cited : (568)

References (23)
  • 2
    • 0001213151 scopus 로고
    • Fractal functions and interpolation
    • M. BARNSLEY, Fractal functions and interpolation, Constr. Approx. 2 (1986), 303-329.
    • (1986) Constr. Approx , vol.2 , pp. 303-329
    • Barnsley, M.1
  • 3
    • 0002354550 scopus 로고
    • The calculus of fractal interpolation functions
    • M. BARNSLEY and A. HARRINGTON, The calculus of fractal interpolation functions, J. Approx. Theory 57 (1989), 3-14.
    • (1989) J. Approx. Theory , vol.57 , pp. 3-14
    • Barnsley, M.1    Harrington, A.2
  • 4
    • 34250104306 scopus 로고
    • A block spin construction of ondelettes, Part I: Lemarie functions
    • G. BATTLE, A block spin construction of ondelettes, Part I: Lemarie functions, Comm. Math. Phys. 110 (1987), 601-615.
    • (1987) Comm. Math. Phys , vol.110 , pp. 601-615
    • Battle, G.1
  • 5
    • 0038690176 scopus 로고
    • Multidimensional two-scale dilation equations
    • (C. K. Chui, Ed.), Academic Press, Boston
    • M. A. BERGER and Y. WANG, Multidimensional two-scale dilation equations, in "Wavelets: A Tutorial of Theory and Applications" (C. K. Chui, Ed.), pp. 295-324, Academic Press, Boston, 1992.
    • (1992) Wavelets: A Tutorial of Theory and Applications , pp. 295-324
    • Berger, M.A.1    Wang, Y.2
  • 7
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • I. DAUBECHIES, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math. XLI (1988), 909-996.
    • (1988) Comm. Pure Appl. Math , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 8
    • 0001406484 scopus 로고
    • Multidimensional iterative interpolation
    • G. DESLAURIES, J. DUBOIS, and S. DUBUC, Multidimensional iterative interpolation, Canad. J. Math. 43, No. 2 (1991), 297-312.
    • (1991) Canad. J. Math , vol.43 , Issue.2 , pp. 297-312
    • Deslauries, G.1    Dubois, J.2    Dubuc, S.3
  • 9
    • 0000198839 scopus 로고
    • Fractal interpolation surfaces and a related 2-D multiresolution analysis
    • J. S. GERONIMO and D. P. HARDIN, Fractal interpolation surfaces and a related 2-D multiresolution analysis, J. Math. Anal. Appl., 176 (1993), 561-586.
    • (1993) J. Math. Anal. Appl , vol.176 , pp. 561-586
    • Geronimo, J.S.1    Hardin, D.P.2
  • 10
    • 0242618421 scopus 로고
    • Fractal surfaces, multiresolution analyses, and the wavelet transforms
    • J. S. GERONIMO, D. P. HARDIN, and P. R. MASSOPUST, Fractal surfaces, multiresolution analyses, and the wavelet transforms, NATO ASI Series F, 106 (1994), 275-290.
    • (1994) NATO ASI Series F , vol.106 , pp. 275-290
    • Geronimo, J.S.1    Hardin, D.P.2    Massopust, P.R.3
  • 13
    • 0000629355 scopus 로고
    • Multiresolution analyses based on fractal functions
    • D. HARDIN, B. KESSLER, and P. R. MASSOPUST, Multiresolution analyses based on fractal functions, J. Approx. Theory, 71 (1992), 104-120.
    • (1992) J. Approx. Theory , vol.71 , pp. 104-120
    • Hardin, D.1    Kessler, B.2    Massopust, P.R.3
  • 14
    • 0001636694 scopus 로고
    • Ondelettes a localisation exponentielle
    • P. G. LEMARIE, Ondelettes a localisation exponentielle, J. Math. Pures Appl. 67 (1988), 227-236.
    • (1988) J. Math. Pures Appl , vol.67 , pp. 227-236
    • Lemarie, P.G.1
  • 16
    • 84966210236 scopus 로고
    • Multiresolution approximations and wavelet orthonormal bases of L2 (IR)
    • S. MALLAT, Multiresolution approximations and wavelet orthonormal bases of L2 (IR). Trans. Amer. Math. Soc. 315 (1989), 69-87.
    • (1989) Trans. Amer. Math. Soc , vol.315 , pp. 69-87
    • Mallat, S.1
  • 17
    • 0025489468 scopus 로고
    • Fractal surfaces
    • P. R. MASSOPUST, Fractal surfaces, J. Math. Anal. Appl. 151, No. 1 (1990), 275-290.
    • (1990) J. Math. Anal. Appl , vol.151 , Issue.1 , pp. 275-290
    • Massopust, P.R.1
  • 18
    • 0001101797 scopus 로고
    • Smooth interpolating curves and surfaces generated by iterated function systems
    • P. R. MASSOPUST, Smooth interpolating curves and surfaces generated by iterated function systems, Zeitschrift fur Analysi u. i. Anwend., 12 (1993), 201-210.
    • (1993) Zeitschrift Fur Analysi U. I. Anwend , vol.12 , pp. 201-210
    • Massopust, P.R.1
  • 21
    • 0001367277 scopus 로고
    • Box splines, cardinal series, and wavelets
    • (C. K. Chui, Ed.), Academic Press, Boston
    • S. RIEMENSCHNEIDER and Z. SHEN, Box splines, cardinal series, and wavelets, in "Approximation Theory and Functional Analysis" (C. K. Chui, Ed.), pp. 133-149, Academic Press, Boston, 1991.
    • (1991) Approximation Theory and Functional Analysis , pp. 133-149
    • Riemenschneider, S.1    Shen, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.