Computer Graphics Forum
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To transform a three-dimensional object or to map texture to its surface, it is necessary to introduce a coordinate system.If the surface can be cut and developed, it is easy to identify each point on the surface with the coordinate values.According to a theory in topology, any closed polygonized two-dimensional surface can be represented by a canonical development.However, no efficient algorithm to actually develop a given surface has been presented, and the theory sounds abstract.This paper proposes a method to develop an arbitrary polygonized closed surface and to establish the correspondence between each point on the surface and a point ona regular polygon. Educational software is developed using the algorithm that visualizes the coordinate system by texture mapping or by allowing a user to paint on the surface.