메뉴 건너뛰기




Volumn 31, Issue 1, 2005, Pages 120-148

SFCGen: A framework for efficient generation of multi-dimensional space-filling curves by recursion

Author keywords

Space filling curve

Indexed keywords

CURVE GENERATION ALGORITHMS; HIGH DIMENSIONAL SPACES; MULTIDIMENSIONAL SPACE FILLING CURVES; TABLE BASED INDEXING ALGORITHMS;

EID: 17644387739     PISSN: 00983500     EISSN: None     Source Type: Journal    
DOI: 10.1145/1055531.1055537     Document Type: Article
Times cited : (27)

References (45)
  • 1
    • 0025205558 scopus 로고
    • A comparative analysis of some two-dimensional orderings
    • ABEL, D. J. AND MARK, D. M. 1990. A comparative analysis of some two-dimensional orderings. Int. J. Geog. Info. Syst. 4, 1, 21-31.
    • (1990) Int. J. Geog. Info. Syst. , vol.4 , Issue.1 , pp. 21-31
    • Abel, D.J.1    Mark, D.M.2
  • 3
    • 0035946548 scopus 로고    scopus 로고
    • Vertex-labeling algorithms for the Hilbert spacefilling curve
    • BARTHOLDI III, J. AND GOLDSMAN, P. 2001. Vertex-labeling algorithms for the Hilbert spacefilling curve. Software-Practice and Experience 31, 395-408.
    • (2001) Software-practice and Experience , vol.31 , pp. 395-408
    • Bartholdi III, J.1    Goldsman, P.2
  • 5
    • 0014600391 scopus 로고
    • Space-filling curves: Their generation and their application to bandwidth reduction
    • BIALLY, T. 1969. Space-filling curves: Their generation and their application to bandwidth reduction. IEEE Trans. Info. Theory IT-15, 6 (Nov.), 658-664.
    • (1969) IEEE Trans. Info. Theory , vol.IT-15 , Issue.6 NOV , pp. 658-664
    • Bially, T.1
  • 6
    • 0038670812 scopus 로고    scopus 로고
    • Seaching in high-dimensional spaces: Index structures for improving the performance of multimedia databases
    • BÖHM, C., BERCHTOLD, S., AND KEIM, D. A. 2001. Seaching in high-dimensional spaces: Index structures for improving the performance of multimedia databases. ACM Comput. Surv. 33, 322-373.
    • (2001) ACM Comput. Surv. , vol.33 , pp. 322-373
    • Böhm, C.1    Berchtold, S.2    Keim, D.A.3
  • 7
    • 0032084028 scopus 로고    scopus 로고
    • Algorithm 781: Generating Hilbert's space-filling curve by recursion
    • BREINHOLT, G. AND SCHIERZ, C. 1998. Algorithm 781: Generating Hilbert's space-filling curve by recursion. ACM Trans. Math. Soft. 24, 2, 184-189.
    • (1998) ACM Trans. Math. Soft. , vol.24 , Issue.2 , pp. 184-189
    • Breinholt, G.1    Schierz, C.2
  • 9
    • 0001388605 scopus 로고
    • Space filling curves and mathematical programming
    • BUTZ, A. R. 1968. Space filling curves and mathematical programming. Information and Control 12, 314-330.
    • (1968) Information and Control , vol.12 , pp. 314-330
    • Butz, A.R.1
  • 10
    • 0000669772 scopus 로고
    • Convergence with Hilbert's space filling curve
    • BUTZ, A. R. 1969. Convergence with Hilbert's space filling curve. J. Comput. Syst. Sci. 3, 2, 128-146.
    • (1969) J. Comput. Syst. Sci. , vol.3 , Issue.2 , pp. 128-146
    • Butz, A.R.1
  • 11
    • 0015050308 scopus 로고
    • Alternative algorithm for Hilbert's space-filling curve
    • BUTZ, A. R. 1971. Alternative algorithm for Hilbert's space-filling curve. IEEE Trans. Comput. C-20, 4 (Apr.), 424-426.
    • (1971) IEEE Trans. Comput. , vol.C-20 , Issue.4 APR , pp. 424-426
    • Butz, A.R.1
  • 13
    • 0020928286 scopus 로고
    • A note on space filling curves
    • COLE, A. J. 1981. A note on space filling curves. Software-Practice and Experience 13, 12 (Dec.), 1181-1189.
    • (1981) Software-practice and Experience , vol.13 , Issue.12 DEC , pp. 1181-1189
    • Cole, A.J.1
  • 16
    • 84983978200 scopus 로고
    • Short algorithms for space-filling curves
    • GOLDSCHLAGER, L. M. 1981. Short algorithms for space-filling curves. Software-Practice and Experience 11, 1 (Jan.), 99-100.
    • (1981) Software-practice and Experience , vol.11 , Issue.1 JAN , pp. 99-100
    • Goldschlager, L.M.1
  • 17
    • 33846316938 scopus 로고
    • Über die stetige abbildung einer linie auf ein flachenstück
    • HILBERT, D. 1891. Über die stetige abbildung einer linie auf ein flachenstück. Math. Ann. 38, 459-460.
    • (1891) Math. Ann. , vol.38 , pp. 459-460
    • Hilbert, D.1
  • 23
    • 0030211825 scopus 로고    scopus 로고
    • Image analysis using space-filling curves and ID wavelet bases
    • LAMARQUE, C. H. AND ROBERT, F. 1996. Image analysis using space-filling curves and ID wavelet bases. Pattern Recognition 29, 8, 1309-1322.
    • (1996) Pattern Recognition , vol.29 , Issue.8 , pp. 1309-1322
    • Lamarque, C.H.1    Robert, F.2
  • 24
    • 0010277904 scopus 로고    scopus 로고
    • Querying multi-dimensional data indexed using the Hilbert space-filling curve
    • LAWDER, J. K. AND KING, P. J. H. 2001. Querying multi-dimensional data indexed using the Hilbert space-filling curve. ACM SIGMOD Record 30, 19-24.
    • (2001) ACM SIGMOD Record , vol.30 , pp. 19-24
    • Lawder, J.K.1    King, P.J.H.2
  • 25
    • 0014265483 scopus 로고
    • Mathematical models for cellular interaction in development, parts I and II
    • LINDENMAYER, A. 1968. Mathematical models for cellular interaction in development, parts I and II. J Theore. Biol. 18, 280-315.
    • (1968) J Theore. Biol. , vol.18 , pp. 280-315
    • Lindenmayer, A.1
  • 26
    • 84857536837 scopus 로고
    • A video scrambling technique based on space filling curve
    • MATIAS, Y. AND SHAMIR, A. 1987. A video scrambling technique based on space filling curve. In Advances in Cryptology - CRYPTO'89. 398-416.
    • (1987) Advances in Cryptology - CRYPTO'89 , pp. 398-416
    • Matias, Y.1    Shamir, A.2
  • 30
    • 0141682542 scopus 로고    scopus 로고
    • Analysis of multi-dimensional space-filling curves
    • MOKBEL, M. F., AREF, W. G., AND KAMEL, I. 2003. Analysis of multi-dimensional space-filling curves. GeoInformatica 7, 179-209.
    • (2003) GeoInformatica , vol.7 , pp. 179-209
    • Mokbel, M.F.1    Aref, W.G.2    Kamel, I.3
  • 31
    • 84860922854 scopus 로고    scopus 로고
    • MOORE, D. 2000. http://www.caam.rice.edu/~dougm/twiddle/Hilbert.
    • (2000)
    • Moore, D.1
  • 32
    • 0003460690 scopus 로고
    • A computer oriented geodetic data base and a new technique in file sequencing
    • MORTON, G. M. 1966. A computer oriented geodetic data base and a new technique in file sequencing. Technique Report, IBM, Canada.
    • (1966) Technique Report, IBM, Canada
    • Morton, G.M.1
  • 33
    • 17644372291 scopus 로고
    • A Peano curve generation algorithm
    • J. Arvo, Ed. Academic Press, San Diego, CA
    • MUSGRAVE, K. 1991. A Peano curve generation algorithm. In Graphics Gems II, J. Arvo, Ed. Academic Press, San Diego, CA, 25.
    • (1991) Graphics Gems II , pp. 25
    • Musgrave, K.1
  • 34
    • 0347151791 scopus 로고
    • A catalog of symmetric self-similar space-filling curves
    • OHNO, Y. AND OHYAMA, K. 1991. A catalog of symmetric self-similar space-filling curves. J. Recreational Math. 23, 161-173.
    • (1991) J. Recreational Math. , vol.23 , pp. 161-173
    • Ohno, Y.1    Ohyama, K.2
  • 35
    • 0005083863 scopus 로고
    • Sur une courbe qui remplit toute une aire plane
    • PEANO, G. 1890. Sur une courbe qui remplit toute une aire plane. Mathematishe Annalen 36, 157-160.
    • (1890) Mathematishe Annalen , vol.36 , pp. 157-160
    • Peano, G.1
  • 36
    • 0024750851 scopus 로고
    • Spacefilling curves and the planar travelling salesman problem
    • PLATZMAN, L. K. AND J. J. BARTHOLDI, III. 1989. Spacefilling curves and the planar travelling salesman problem. J. ACM 36, 719-737.
    • (1989) J. ACM , vol.36 , pp. 719-737
    • Platzman, L.K.1    Bartholdi III, J.J.2
  • 37
    • 0008361824 scopus 로고
    • Synthesis of space-filling curves on the square grid
    • H. O. Peitgen, J. M. Henriques, and L. F. Penedo, Eds. Elsevier Science Publisher BV, Amsterdam, The Netherlands
    • PHUSINKIEWICZ, P., LINDENMAYER, A., AND FRACCHIA, F. D. 1991. Synthesis of space-filling curves on the square grid. In Fractals in the Fundamental and Applied Sciences, H. O. Peitgen, J. M. Henriques, and L. F. Penedo, Eds. Elsevier Science Publisher BV, Amsterdam, The Netherlands, 341-366.
    • (1991) Fractals in the Fundamental and Applied Sciences , pp. 341-366
    • Phusinkiewicz, P.1    Lindenmayer, A.2    Fracchia, F.D.3
  • 38
    • 0005063126 scopus 로고
    • On the geometrization of the Peano curve and the arithmetization of the Hilbert curve
    • SAGAN, H. 1992. On the geometrization of the Peano curve and the arithmetization of the Hilbert curve. Int. J. Math. Educ. Sci. Tech. 23, 403-411.
    • (1992) Int. J. Math. Educ. Sci. Tech. , vol.23 , pp. 403-411
    • Sagan, H.1
  • 39
    • 0001248480 scopus 로고
    • A three-dimensional Hilbert curve
    • SAGAN, H. 1993. A three-dimensional Hilbert curve. Int. J. Math. Educ. Sci. Tech. 24, 541-545.
    • (1993) Int. J. Math. Educ. Sci. Tech. , vol.24 , pp. 541-545
    • Sagan, H.1
  • 42
    • 0020811360 scopus 로고
    • Manipulation and presentation of multidimensional image data using the Peano scan
    • STEVENS, R. J., LEHAR, A. F., AND PRESTON, F. H. 1983. Manipulation and presentation of multidimensional image data using the Peano scan. IEEE Trans. Pattern Anal. Mach. Intell. 5, 520-526.
    • (1983) IEEE Trans. Pattern Anal. Mach. Intell. , vol.5 , pp. 520-526
    • Stevens, R.J.1    Lehar, A.F.2    Preston, F.H.3
  • 44
    • 84984013859 scopus 로고
    • On the generation and use of space-filling curves
    • WITTEN, I. H. AND WYVILL, B. 1983. On the generation and use of space-filling curves. Software-Practice and Experience 13, 519-525.
    • (1983) Software-practice and Experience , vol.13 , pp. 519-525
    • Witten, I.H.1    Wyvill, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.