Area Guide Map Modeling by Manifolds and CW-Complexes

Abstract

From ancient times, area guide maps have been drawn intuitively without appropriate modeling. Understanding such maps and developing guide map CAD require clear modeling. This paper presents the model of area guide maps using manifolds and CW-complexes. The process of drawing an area guide map is modeled as that of creating a manifold. First, we represent the surface shape of an area as a CW-complex. Then, we glue the CW-complexes representing the areas into a manifold. Surface shapes in the overlaps are blended by a partition of unity. The mechanism to project a surface shape from multiple views is installed. Finally, the area guide map is generated automatically.