Fitting G2 multispiral transition curve joining two straight lines

  • Authors:

  • Rushan Ziatdinov;Norimasa Yoshida;Tae-wan Kim

  • Affiliations:

  • Department of Naval Architecture and Ocean Engineering, Seoul National University, Seoul 151-744, Republic of Korea;Department of Industrial Engineering and Management, Nihon University, 1-2-1 Izumi-cho, Narashino Chiba 275-8575, Japan;Department of Naval Architecture and Ocean Engineering, Seoul National University, Seoul 151-744, Republic of Korea and Research Institute of Marine Systems Engineering, Seoul National University, ...

  • Venue:
  • Computer-Aided Design
  • Year:
  • 2012

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Abstract

In this paper, we describe an algorithm for generating a C-shaped G^2 multispiral transition curve between two non-parallel straight lines. The G^2 multispiral is a curve that consists of two or more log-aesthetic curve segments connected with curvature continuity, and it has inflection endpoints. Compound-rhythm log-aesthetic curves are not directly applicable to the generation of transition curves between two straight lines, which is important in highway and railroad track design, because both endpoints are required to be inflection points. Thus, a new approach for generating transition curves is necessary. The two log-aesthetic curve segments with shape parameter @a