幾何学的圏域モデルについての基礎的研究

等差距離線と等比距離線について

抄録

Voronoi diagram contains efficient informations on domain boundary and planning of an area. In this paper, ‘Equidifferent Line’, a development of Volonoi diagram, is defined as a set of points formed by which the subtraction of the distances from the nearest 2 generators in a constant. “Equiproportation Line” is also introduced by an analogous way related to proportion. In addition, ‘Secondary Domain’ is defined by the area formed by the set of the particular points of Equidifferent Lines or Equiproportonal Line.