메뉴 건너뛰기




Volumn 19, Issue 7, 2009, Pages 2321-2333

Smoothness of coalescence hidden-variable fractal interpolation surfaces

Author keywords

Affine; Coalescence; FIS; Fractal; IFS; Interpolation; Smoothness

Indexed keywords

COALESCENCE; FRACTALS;

EID: 70350610902     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127409024098     Document Type: Article
Times cited : (18)

References (25)
  • 1
    • 0001213151 scopus 로고
    • 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
    • 0002354550 scopus 로고
    • The calculus of fractal interpolation functions
    • Barnsley, M. F. & Harrington, A. N. [1989] "The calculus of fractal interpolation functions," J. Approx. Th. 57, 14-34.
    • (1989) J. Approx. Th. , vol.57 , pp. 14-34
    • Barnsley, M.F.1    Harrington, A.N.2
  • 3
    • 0002036251 scopus 로고
    • Hölder exponents and box dimension for self a.ne fractal functions
    • Bedford, T. [1989] "Hölder exponents and box dimension for self a.ne fractal functions," Constr. Approx. 5, 33-48.
    • (1989) Constr. Approx. , vol.5 , pp. 33-48
    • Bedford, T.1
  • 5
    • 0345767175 scopus 로고    scopus 로고
    • Fractal dimensions for rainfall time series
    • Breslin, M. C. & Belward, J. A. [1999] "Fractal dimensions for rainfall time series," Math. Comput. Simul. 48, 437-446.
    • (1999) Math. Comput. Simul. , vol.48 , pp. 437-446
    • Breslin, M.C.1    Belward, J.A.2
  • 6
    • 0242676146 scopus 로고    scopus 로고
    • Hidden variable bivariate fractal interpolation surfaces
    • Chand, A. K. B. & Kapoor, G. P. [2003] "Hidden variable bivariate fractal interpolation surfaces," Fractals 11, 227-288.
    • (2003) Fractals , vol.11 , pp. 227-288
    • Chand, A.K.B.1    Kapoor, G.P.2
  • 7
    • 70350614944 scopus 로고    scopus 로고
    • Smoothness analysis of coalescence hidden variable fractal interpolation functions
    • Chand, A. K. B. & Kapoor, G. P. [2007] "Smoothness analysis of coalescence hidden variable fractal interpolation functions," Int. J. Non-Lin. Sci. 3, 15-26.
    • (2007) Int. J. Non-Lin. Sci. , vol.3 , pp. 15-26
    • Chand, A.K.B.1    Kapoor, G.P.2
  • 8
    • 0036332919 scopus 로고    scopus 로고
    • Bivariate fractal interpolation functions on grids
    • Dalla, L. [2002] "Bivariate fractal interpolation functions on grids," Fractals 10, 53-58.
    • (2002) Fractals , vol.10 , pp. 53-58
    • Dalla, L.1
  • 9
    • 42949151039 scopus 로고    scopus 로고
    • The smoothness and dimension of fractal interpolation function
    • Gang, C. [1996] "The smoothness and dimension of fractal interpolation function," Appl. Math. - A J. Chinese Universities: Series B 11, 409-428.
    • (1996) Appl. Math. - A J. Chinese Universities: Series B , vol.11 , pp. 409-428
    • Gang, C.1
  • 10
    • 0000198839 scopus 로고
    • Fractal interpolation surfaces and a related 2-D multiresolution analysis
    • Geronimo, J. S. & Hardin, D. P. [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.P.2
  • 12
    • 0024733154 scopus 로고
    • Fractal dimension of the fractured surface of materials
    • Lung, C. W. & Zhang, S. Z. [1989] "Fractal dimension of the fractured surface of materials," Physica 38, 242-245.
    • (1989) Physica , vol.38 , pp. 242-245
    • Lung, C.W.1    Zhang, S.Z.2
  • 13
    • 24944588289 scopus 로고    scopus 로고
    • The Minkowski dimension of the bivariate fractal interpolation surfaces
    • Malysz, R. [2006] "The Minkowski dimension of the bivariate fractal interpolation surfaces," Fractals 27, 1147-1156.
    • (2006) Fractals , vol.27 , pp. 1147-1156
    • Malysz, R.1
  • 14
    • 0016801562 scopus 로고
    • Stochastic models of the earth's relief, the shape and the fractal dimension of the coastlines and the number-area rule for islands
    • Mandelbrot, B. B. [1975] "Stochastic models of the earth's relief, the shape and the fractal dimension of the coastlines and the number-area rule for islands," Proc. Nat. Acad. Sci., USA 72, 3825-3828.
    • (1975) Proc. Nat. Acad. Sci., USA , vol.72 , pp. 3825-3828
    • Mandelbrot, B.B.1
  • 18
    • 0002426479 scopus 로고
    • A search for chaotic behavior in large and mesoscale motions in the paci.c ocean
    • Osborne, A. R., Kirwan, A. D., Provenzale, A. & Bergamasco, L. [1986] "A search for chaotic behavior in large and mesoscale motions in the paci.c ocean," Physica 23, 75-83.
    • (1986) Physica , vol.23 , pp. 75-83
    • Osborne, A.R.1    Kirwan, A.D.2    Provenzale, A.3    Bergamasco, L.4
  • 23
    • 2842612818 scopus 로고    scopus 로고
    • The study on bivariate fractal interpolation functions and creation of fractal interpolated surfaces
    • Xie, H. & Sun, H. [1997] "The study on bivariate fractal interpolation functions and creation of fractal interpolated surfaces," Fractals 5, 625-634.
    • (1997) Fractals , vol.5 , pp. 625-634
    • Xie, H.1    Sun, H.2
  • 24
    • 0032144056 scopus 로고    scopus 로고
    • Fractal models of surface topography and contact mechanics
    • Zahouani, H., Vargiolu, R. & Loubet, J. L. [1998] "Fractal models of surface topography and contact mechanics," Mathem. Comput. Model. 28, 517-534.
    • (1998) Mathem. Comput. Model. , vol.28 , pp. 517-534
    • Zahouani, H.1    Vargiolu, R.2    Loubet, J.L.3
  • 25
    • 0040708350 scopus 로고
    • The fractal appearance of interstellar clouds
    • Zimmermann, T. & Stutzki, J. [1992] "The fractal appearance of interstellar clouds," Physica 191, 79-84.
    • (1992) Physica , vol.191 , pp. 79-84
    • Zimmermann, T.1    Stutzki, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.