Representation method for topological structure of pentabasic area

A technology of topology structure and region, applied in the field of regional topology relationship representation, which can solve problems such as poor expressiveness and unsatisfactory topology relationship.

Inactive Publication Date: 2018-05-08
JILIN AGRICULTURAL UNIV
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AI Technical Summary

Problems solved by technology

The existing spatial topological relationship models are mostly aimed at simple objects, and only consider the relationship between two objects. The research on the topological relationship of five-region objects is often inferred by means of the topological relationship between two objects. This method is often used in practice. There are large limitations, poor expressiveness, and topological relations do not satisfy completeness

Method used

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  • Representation method for topological structure of pentabasic area
  • Representation method for topological structure of pentabasic area
  • Representation method for topological structure of pentabasic area

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Experimental program
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Embodiment Construction

[0030] Such as image 3 For the five-element simple region in the space shown, solve its corresponding 32 intersection vector;

[0031] First, use A, B, C, D, and E to refer respectively, as shown in the figure;

[0032] According to the definition formula of 32 intersection vector elements, calculate a respectively 0 To a 31 Value, we can calculate a 0 Take a detailed explanation as an example:

[0033] Define the formula according to the 32 intersection element:

[0034]

[0035] which is:

[0036] a 0 =ε(A 0 ∩B 0 ∩C 0 ∩D 0 ∩E 0 )

[0037] It can be seen from the figure:

[0038]

[0039] and so:

[0040] a 0 = 0

[0041] In the same way, calculate the element values ​​of the remaining 32 intersection vectors, and arrange the constituent vectors in the order of the subscript n from large to small, that is to say, the 32 intersection vectors of the 5 simple regions are characterized as follows:

[0042] (a 0 ...a 31 )=(0000000010101010111011111111111).

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Abstract

The invention puts forward a complete set representation method for the topological structure of a pentabasic simple area. The method gives a complete set which contains S100 and S110 and is used forcalculating 32 intersection vectors, and provides a calculation step which contains S200, S210 and S220 and is used for calculating the 32 intersection vectors of a given pentabasic area. The method exhibits completeness for the representation method of a pentabasic intersection vector, and is insensitive for boundaries.

Description

Technical field [0001] The present invention relates to the representation of regional topological relations, in particular to a representation of the topological structure of a five-element region. Background technique [0002] Spatial reasoning is an important branch in the field of artificial intelligence, covering multidisciplinary research results such as logic, algebra, topology and graph theory, and is an important content in geographic information systems, robot navigation, image processing, computer vision and other fields. Existing spatial topological relationship models are mostly for simple objects, and consider only the relationship between two objects. The topological relationship research for the five-region target is often derived from the topological relationship between two objects. This method is often used in practical applications. There are major limitations, poor expressiveness, and topological relations do not satisfy completeness. To solve the above prob...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06N5/04
CPCG06N5/04
Inventor 李健胡雅婷汪威王明月廖昌义任虹宾姚汝婧张敏
Owner JILIN AGRICULTURAL UNIV
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