Approximate Parallelism between Fuzzy Objects: Some Definitions

Assessing the parallelism between objects is an important issue when considering man-made objects such as buildings, roads, etc. In this paper, we address this problem in the fuzzy set framework and define novel approximate parallelism notions, for fuzzy segments and non-linear objects or groups of objects. The proposed definitions are in agreement with the intuitive perception of this spatial relation, as illustrated on real objects from satellite images.

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