An evolutionary design for f-θ lenses

  • Yoshiji Fujimoto
  • Masato Nishiguchi
  • Kenichi Nomoto
  • Kensuke Takahashi
  • Shigeyoshi Tsutsui
Applications of Evolutionary Computation Evolutionary Computation in Mechanical, Chemical, Biological, and Optical Engineering

DOI: 10.1007/3-540-61723-X_1062

Part of the Lecture Notes in Computer Science book series (LNCS, volume 1141)
Cite this paper as:
Fujimoto Y., Nishiguchi M., Nomoto K., Takahashi K., Tsutsui S. (1996) An evolutionary design for f-θ lenses. In: Voigt HM., Ebeling W., Rechenberg I., Schwefel HP. (eds) Parallel Problem Solving from Nature — PPSN IV. PPSN 1996. Lecture Notes in Computer Science, vol 1141. Springer, Berlin, Heidelberg

Abstract

In this paper, we tried evolutionary designs of f-θ lenses for a laser printer or a digital copier with a real-valued GA (NDX: Normal Distributed Crossover) and a genotype GA with high mutation. The f-θ lens represented by a B-Spline curve refract a laser beam reflected from rotating mirror to scan a photo sensitive drum with a constant velocity. Fitness is evaluated by accumulated errors between destinations of ray traces and given targets. We compared the performances of two evolutionary methods. Empirical results show that the real-valued GA has converged faster with better accuracy than the genotype GA for the f-θ lens design problem with strong epistasis.

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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Yoshiji Fujimoto
    • 1
  • Masato Nishiguchi
    • 1
  • Kenichi Nomoto
    • 1
  • Kensuke Takahashi
    • 1
  • Shigeyoshi Tsutsui
    • 2
  1. 1.Department of Applied Mathematics and InformaticsRyukoku UniversityShigaJapan
  2. 2.Department of Management and Information ScienceHannan UniversityOsakaJapan

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