이 논문에서는 여러 가지 위상 관계 표현 방법을 바탕으로 3 차원 공간 객체들 간의 위상 관계를 여러 가지 방법으로 표현한다. 지리정보시스템 분야에서 공간 객체들 간의 위상 관계를 정의하는 것은 중요한 연구이다. 위상 관계를 표현하는 기존의 방법들은 2 차원 공간 객체를 대상으로 하고있다. 좀더 많은 공간 정보를 제공하기 위해, 3 차원 공간 데이터에 대한 위상 관계를 표현하고 정의한다. 또한, 4-intersection, 9-intersection, dimension extended, calculus-based 방법 등, 여러 연구에서 제시되었던 표현 방법을 사용하여 위상 관계를 정의한다.
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