메뉴 건너뛰기




Volumn 141, Issue 2, 2006, Pages 99-117

Construction of recurrent bivariate fractal interpolation surfaces and computation of their box-counting dimension

Author keywords

Bivariate fractal interpolation surfaces; Box counting dimension; Fractal interpolation functions; Fractals; IFS; Minkowski dimension; RIFS

Indexed keywords


EID: 33746531216     PISSN: 00219045     EISSN: 10960430     Source Type: Journal    
DOI: 10.1016/j.jat.2006.01.006     Document Type: Article
Times cited : (89)

References (24)
  • 1
    • 0001213151 scopus 로고
    • Fractal functions and interpolation
    • Barnsley M.F. Fractal functions and interpolation. Constr. Approx. 2 (1986) 303-329
    • (1986) Constr. Approx. , vol.2 , pp. 303-329
    • Barnsley, M.F.1
  • 4
    • 33748579595 scopus 로고    scopus 로고
    • P. Bouboulis, Leoni Dalla, V. Drakopoulos, Image compression using recurrent bivariate fractal interpolation surfaces, Internat. J. Bifur. Chaos (2006) (to appear).
  • 5
    • 0001265392 scopus 로고    scopus 로고
    • Shadows on a planetary surface and implications for photometric roughness
    • Cambell B.A., and Shepard M.K. Shadows on a planetary surface and implications for photometric roughness. ICARUS 134 (1998) 279-291
    • (1998) ICARUS , vol.134 , pp. 279-291
    • Cambell, B.A.1    Shepard, M.K.2
  • 6
    • 0036332919 scopus 로고    scopus 로고
    • Bivariate fractal interpolation functions on grids
    • Dalla L. Bivariate fractal interpolation functions on grids. Fractals 10 1 (2002) 53-58
    • (2002) Fractals , vol.10 , Issue.1 , pp. 53-58
    • Dalla, L.1
  • 7
    • 33746478684 scopus 로고    scopus 로고
    • F.R. Gantmacher. Matrix Theory, vol. 2, Chelsea Publishing Company, New York, 2000.
  • 8
    • 0000198839 scopus 로고
    • Fractal interpolation surfaces and a related 2d multiresolutional analysis
    • Geronimo J.S., and Hardin D. Fractal interpolation surfaces and a related 2d multiresolutional 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.2
  • 11
    • 24944588289 scopus 로고    scopus 로고
    • The Minkowski dimension of the bivariate fractal interpolation surfaces
    • Malysz R. The Minkowski dimension of the bivariate fractal interpolation surfaces. Chaos, Solitons & Fractals 27 5 (2006) 1147-1156
    • (2006) Chaos, Solitons & Fractals , vol.27 , Issue.5 , pp. 1147-1156
    • Malysz, R.1
  • 12
    • 6244232696 scopus 로고
    • Fractal character of fracture surfaces of metals
    • Mandelbrot B.B., Passoja D.E., and Paullay A.J. Fractal character of fracture surfaces of metals. Nature 308 (1984) 721-722
    • (1984) Nature , vol.308 , pp. 721-722
    • Mandelbrot, B.B.1    Passoja, D.E.2    Paullay, A.J.3
  • 13
  • 14
    • 0028544422 scopus 로고
    • Representation of discrete sequences with three-dimensional iterated function systems
    • Mazel D.S. Representation of discrete sequences with three-dimensional iterated function systems. IEEE Trans. Signal Process. 42 (1994) 3269-3271
    • (1994) IEEE Trans. Signal Process. , vol.42 , pp. 3269-3271
    • Mazel, D.S.1
  • 15
    • 0026897973 scopus 로고
    • Using iterated function systems to model discrete sequences
    • Mazel D.S., and Hayes M.H. Using iterated function systems to model discrete sequences. IEEE Trans. Signal Process. 40 (1992) 1724-1734
    • (1992) IEEE Trans. Signal Process. , vol.40 , pp. 1724-1734
    • Mazel, D.S.1    Hayes, M.H.2
  • 17
    • 8744266577 scopus 로고    scopus 로고
    • Generalization of Hermite I. functions by fractal interpolation
    • Navascues M.A., and Sebastian M.V. Generalization of Hermite I. functions by fractal interpolation. J. Approx. Theory 131 (2004) 19-29
    • (2004) J. Approx. Theory , vol.131 , pp. 19-29
    • Navascues, M.A.1    Sebastian, M.V.2
  • 19
    • 3142621887 scopus 로고    scopus 로고
    • Resampling and reconstruction with fractal interpolation functions
    • Price J.R. Resampling and reconstruction with fractal interpolation functions. IEEE Signal Process. Lett. 5 (1998) 228-230
    • (1998) IEEE Signal Process. Lett. , vol.5 , pp. 228-230
    • Price, J.R.1
  • 20
    • 33845294386 scopus 로고
    • Surfaces roughening and the fractal nature of rocks
    • Wong P., Howard J., and Li J. Surfaces roughening and the fractal nature of rocks. Phys. Rev. Lett. 57 (1986) 637-640
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 637-640
    • Wong, P.1    Howard, J.2    Li, J.3
  • 21
    • 2842612818 scopus 로고    scopus 로고
    • The study of bivariate fractal interpolation functions and creation of fractal interpolation surfaces
    • Xie H., and Sun H. The study of bivariate fractal interpolation functions and creation of fractal interpolation surfaces. Fractals 5 4 (1997) 625-634
    • (1997) Fractals , vol.5 , Issue.4 , pp. 625-634
    • Xie, H.1    Sun, H.2
  • 22
    • 0035859113 scopus 로고    scopus 로고
    • Study on generation of rock fracture surfaces by using fractal interpolation
    • Xie H., Sun H., Zu Y., and Feng Z. Study on generation of rock fracture surfaces by using fractal interpolation. Internat. J. Solids Struct. 38 (2001) 5765-5787
    • (2001) Internat. J. Solids Struct. , vol.38 , pp. 5765-5787
    • Xie, H.1    Sun, H.2    Zu, Y.3    Feng, Z.4
  • 23
    • 0024471114 scopus 로고
    • Fractal-based analysis and interpolation of 3d natural surface shapes and their application to terrain modeling
    • Yokoya N., Yamamoto K., and Funakubo N. Fractal-based analysis and interpolation of 3d natural surface shapes and their application to terrain modeling. Comput. Vision Graphics Image Process. 46 (1989) 284-302
    • (1989) Comput. Vision Graphics Image Process. , vol.46 , pp. 284-302
    • Yokoya, N.1    Yamamoto, K.2    Funakubo, N.3
  • 24
    • 0029772665 scopus 로고    scopus 로고
    • Construction and application of fractal interpolation surfaces
    • Zhao N. Construction and application of fractal interpolation surfaces. Visual Computer 12 (1996) 132-146
    • (1996) Visual Computer , vol.12 , pp. 132-146
    • Zhao, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.