Proceedings Shape Modeling International '99. International Conference on Shape Modeling and Applications 1999
DOI: 10.1109/sma.1999.749336
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Automatic knot placement by a genetic algorithm for data fitting with a spline

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Cited by 67 publications
(43 citation statements)
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“…Yoshimoto et al [18] and Gálvez et al [3] used the following functions (Equation 7-9) which represent complex data with discontinuities and cusps.…”
Section: Knot Adjustmentmentioning
confidence: 99%
See 1 more Smart Citation
“…Yoshimoto et al [18] and Gálvez et al [3] used the following functions (Equation 7-9) which represent complex data with discontinuities and cusps.…”
Section: Knot Adjustmentmentioning
confidence: 99%
“…Other approaches use metaheuristic techniques like genetic algorithms (cf. Sarfraz and Raza [13]; Yoshimoto et al [18]), artificial immune systems (cf. Gálvez et al [3]; Ülker and Arslan [16]) or estimation of distribution algorithms (cf.…”
Section: Introductionmentioning
confidence: 99%
“…A piecewise functional description of a noisy data set can then be created by partitioning the data into segments, with each segment fit to a simple parametric function, such as a straight line, parabola, or circular arc (Pittman and Murthy 2000;Chen, Zhang, Ou and Feng 2003). Yoshimito (Yoshimoto 1999) characterizes this segmentation as a nonlinear optimization problem that (1) optimizes the fit to the original data, (2) optimizes the segmentation and (3) minimizes the number of segments. The resulting segments are joined together at knots such that they meet certain end point conditions.…”
Section: Curve Segmentation and Fittingmentioning
confidence: 99%
“…Since B-spline curve fitting for noisy or scattered data can be considered as a nonlinear optimization problem with high level of computational complexity [3,4,6], non-deterministic optimization strategies should be employed. Here, methods taken from computational intelligence offers promising results for the solutions of this problem.…”
Section: Introductionmentioning
confidence: 99%
“…This paper presents the application of one of the computational intelligence techniques called "Artificial Immune System (AIS)" to the surface fitting problem by using B-Splines. Individuals are formed by treating knot placement candidates as antibody and the continuous problem is solved as a discrete problem as in [3] and [6]. By using Akaike Information Criteria (AIC), affinity criterion is described and the search is implemented from the good candidate models towards the best model in each generation.…”
Section: Introductionmentioning
confidence: 99%