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유전자 알고리즘을 이용한 B-spline 곡면 피팅

B-spline Surface Fitting using Genetic Algorithm

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초록

The applicability of optimization techniques for hull surface fitting has been important in the ship design process. In this research, the Genetic Algorithm has been used as a searching technique for solving surface fitting problem and minimizing errors between B-spline surface and the ship’s offset data. The encoded design variables are the location of the vertex points and parametric values. The sufficient accuracy in surface fitting implies not only various techniques for computer-aided design, but also the future production design.

Abstract

The applicability of optimization techniques for hull surface fitting has been important in the ship design process. In this research, the Genetic Algorithm has been used as a searching technique for solving surface fitting problem and minimizing errors between B-spline surface and the ship’s offset data. The encoded design variables are the location of the vertex points and parametric values. The sufficient accuracy in surface fitting implies not only various techniques for computer-aided design, but also the future production design.

참고문헌 (10)

  1. Birmingham R. W., "Automatic hull form generation: a practical tool for design and research", Proceedings of the Seventh International Symposium on Practical Design of Ships and Mobile Units, pp.281~287 (1998)
  2. CAM, "Surface modeling for CAD", pp.1991, Choi B. K.
  3. Goldberg D. E., "Genetic algorithm in search, optimization, and machine learning" (1989), Addison-Wesley
  4. Lee J. H., "A Study on the Surface Modeling of Hull Form for General purpose CAD program", Journal of the Society of Naval Architectures of Korea, 41(1), pp.75~81 (2004)
  5. Mathews J. H., "Numerical Methods Using Matlab" (1992), Pearson Prentice Hall
  6. Rogers D. F., "B-spline curves and surfaces for ship hull definition", SCAHD, 77, pp.1~25 (1977)
  7. Srinivas M., "Adaptive Probabilities of Crossover and Mutation in Genetic Algorithms", IEEE Trans Syst., 24(4), pp.656~667 (1998)
  8. Westgaard G., "Construction of Fair Surfaces over Irregular Meshes", Journal of Computing and Information Science in Engineering, 1(4), pp.376~384 (2001)
  9. Whitley D., "GENITOR: A different Genetic Algorithm", Proc. of the Rocky Mountain Conf. on Artificial Intelligence, pp.118~130 (1988)
  10. Yoon B. H., "Representation of Ship Hull Surface Using B-Spline", Journal of the Society of Naval Architectures of Korea, 22(3), pp.19~26 (1985)

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