메뉴 건너뛰기




Volumn 35, Issue 8 SPEC., 2003, Pages 751-760

Data fitting with a spline using a real-coded genetic algorithm

Author keywords

Genetic algorithm; Geometric modeling; Knot placement; Spline

Indexed keywords

APPROXIMATION THEORY; CURVE FITTING; GENETIC ALGORITHMS; OPTIMIZATION; PROBLEM SOLVING; SPLINES;

EID: 0037411320     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(03)00006-X     Document Type: Article
Times cited : (167)

References (22)
  • 1
    • 0029183772 scopus 로고
    • Parametrization of randomly measured points for least squares fitting of B-spline curves and surfaces
    • Ma W., Kruth J.P. Parametrization of randomly measured points for least squares fitting of B-spline curves and surfaces. Comput-Aid Des. 27:1995;663-675.
    • (1995) Comput-Aid Des , vol.27 , pp. 663-675
    • Ma, W.1    Kruth, J.P.2
  • 2
    • 0041637449 scopus 로고    scopus 로고
    • Reverse engineering of geometric models - An introduction
    • Varady T., Martin R.R., Cox J. Reverse engineering of geometric models - an introduction. Comput-Aid Des. 29:1997;255-268.
    • (1997) Comput-Aid Des , vol.29 , pp. 255-268
    • Varady, T.1    Martin, R.R.2    Cox, J.3
  • 8
    • 0001398920 scopus 로고
    • Curve fitting by a piecewise cubic polynomial
    • Ichida K., Yoshimoto F., Kiyono T. Curve fitting by a piecewise cubic polynomial. Computing. 16:1976;329-338.
    • (1976) Computing , vol.16 , pp. 329-338
    • Ichida, K.1    Yoshimoto, F.2    Kiyono, T.3
  • 9
    • 0345725835 scopus 로고
    • A survey of numerical methods for data and function approximation
    • D.A.H. Jacobs. New York: Academic Press
    • Cox M.G. A survey of numerical methods for data and function approximation. Jacobs D.A.H. The state of the art in numerical analysis. 1977;627-668 Academic Press, New York.
    • (1977) The State of the Art in Numerical Analysis , pp. 627-668
    • Cox, M.G.1
  • 10
    • 33747818869 scopus 로고
    • Approximation to data by splines with free knots
    • Jupp D.L.B. Approximation to data by splines with free knots. SIAM J Numer Anal. 15:1978;328-343.
    • (1978) SIAM J Numer Anal , vol.15 , pp. 328-343
    • Jupp, D.L.B.1
  • 11
    • 0000294152 scopus 로고
    • A data-reduction strategy for splines with applications to the approximation of functions and data
    • Lyche T., Mørken K. A data-reduction strategy for splines with applications to the approximation of functions and data. IMA J Numer Anal. 8:1988;185-208.
    • (1988) IMA J Numer Anal , vol.8 , pp. 185-208
    • Lyche, T.1    Mørken, K.2
  • 12
    • 0345294186 scopus 로고
    • The use of local polynomial approximations in a knot-placement strategy for least-squares spline fitting
    • DITC, 148/89
    • Anthony HM, Cox MG, Harris PM. The use of local polynomial approximations in a knot-placement strategy for least-squares spline fitting. NPL Report, DITC, 148/89; 1989.
    • (1989) NPL Report
    • Anthony, H.M.1    Cox, M.G.2    Harris, P.M.3
  • 13
    • 0344862902 scopus 로고    scopus 로고
    • Data fitting with a spline function - Automatic knot placement by a genetic algorithm
    • Yoshimoto F., Moriyama M. Data fitting with a spline function - automatic knot placement by a genetic algorithm. Trans Inform Process Soc Jpn. 39:1998;2572-2580.
    • (1998) Trans Inform Process Soc Jpn , vol.39 , pp. 2572-2580
    • Yoshimoto, F.1    Moriyama, M.2
  • 14
    • 84884772545 scopus 로고    scopus 로고
    • Automatic knot placement by a genetic algorithm for data fitting with a spline
    • IEEE Computer Society Press
    • Yoshimoto F., Moriyama M., Harada T. Automatic knot placement by a genetic algorithm for data fitting with a spline. Shape Modeling International'99. 1999;IEEE Computer Society Press. p. 162-9.
    • (1999) Shape Modeling International'99 , pp. 162-169
    • Yoshimoto, F.1    Moriyama, M.2    Harada, T.3
  • 17
    • 0032626253 scopus 로고    scopus 로고
    • Quadric surface extraction using genetic algorithms
    • Chen Y.H., Liu C.Y. Quadric surface extraction using genetic algorithms. Comput-Aid Des. 31:1999;101-110.
    • (1999) Comput-Aid Des , vol.31 , pp. 101-110
    • Chen, Y.H.1    Liu, C.Y.2
  • 18
    • 0000120766 scopus 로고
    • Estimating the dimensions of a model
    • Schwarz G. Estimating the dimensions of a model. Ann Stat. 6:1978;461-464.
    • (1978) Ann Stat , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 21
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • Akaike H. A new look at the statistical model identification. IEEE Trans Automatic Control. AC-19:1974;716-723.
    • (1974) IEEE Trans Automatic Control , vol.AC-19 , pp. 716-723
    • Akaike, H.1
  • 22
    • 0028409149 scopus 로고
    • Adaptive probabilities of crossover and mutation in genetic algorithms
    • Srinivas M., Patnaik L.M. Adaptive probabilities of crossover and mutation in genetic algorithms. IEEE Trans Syst, Man Cybernet. 24:1994;656-667.
    • (1994) IEEE Trans Syst, Man Cybernet , vol.24 , pp. 656-667
    • Srinivas, M.1    Patnaik, L.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.