Abstract: Topological relations vary with the changes of semantic scales.Complex regions with diffe-rent semantic scales are merged by a finite number of simple regions and their topological relations have to be updated.The current methods make use of inferred combinatorial tables based on basic topological relations between simple regions.However, these methods are generally only applicable to simple objects and have multiple solutions.This paper presents a computation approach of modeling scale dependences of topological relations based on the 9-intersection (9I) model.In terms of the disconnected region merging and adjacent region merging, 9I-based matrix operators are defined for computing directly topological relations of the coarse semantic scale from the relations of the detailed scale.The computation results of the 9I-based matrix operators have no multiple solutions, and the computation domain can cover for all possible topological relations between complex regions.The 9I-based matrix operators can be extended to process composite regions composed of disconnected simple regions by eliminating ambiguities.