• RecordNumber
    3758
  • Author

    Nakamura,, Kento

  • Crop_Body
    Kento Nakamura and Kazushi Ahara
  • Title of Article

    A Geometrical Representation and Visualization of M¨obius Transformation Groups

  • Title Of Journal
    Bridges
  • Publication Year
    2017
  • Abstract
    In this paper, we propose a system which enables us to create computer graphics arts originating from Kleinian groups easily and intuitively. Using this system, we can realize various types ofM¨obius transformations by arranging some circles and lines on the plane. The system uses the efficient rendering algorithm called IIS, introduced in the previous paper by the authors. In the 3D space, making a change circles and lines into spheres and planes, we extend the system to the 3D graphics of Kleinian groups.