Analysis method for topology relation between tri-dimensional composite body objects
A technology of topological relationship and analysis method, applied in image data processing, 3D modeling, instruments, etc., can solve the problems of lack of mature system, insufficient three-dimensional analysis ability, lack of three-dimensional space topology analysis ability, etc., and achieve topology analysis ability Strong, Analytical Effects
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[0023] The 9-intersection model can be used to express the topological relationship, but since the 9-intersection model itself contains a variety of possible topological relationships and does not constrain the spatial objects, there is redundancy. In order to simplify the discussion of the topological relationship in the 9-intersection model and analyze the topological relationship between the composite spatial objects, four basic spatial objects are defined below, and on this basis, the analysis method of the topological relationship between the composite three-dimensional spatial objects is given.
[0024] Basic point: A basic point object p in a three-dimensional space consists of a single point (x, y, z), corresponding to a Realms point object. The boundary of a point object is represented as an empty set in point set topology [68][75] .
[0025] Basic line segment: a line segment object l in three-dimensional space is represented by a pair of points p 1 ,p 2 The conne...
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