Cadastral Polygon Matching Using Geometric Topology and Fuzzy Correlation
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Solution Overview
Problem
Existing automated systems struggle to accurately and efficiently match deformed, subdivided, or consolidated polygons between cadastral epochs due to their inability to intuitively correlate geometric differences, leading to a time-consuming and inaccurate manual digitization process.
Innovation Solution
A pattern matching system that calculates geometric characteristics such as area, perimeter, orientation, and irregularity for each polygon, generates a multi-dimensional R-Tree for fast searching, and employs Voronoi tessellation to adjust reference layers, correlating polygons based on geometric characteristics and topologies, and adjusts for false positives using weighted fuzzy comparisons.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If automated digitisation is used to match polygons between epochs, then productivity is improved, but measurement precision deteriorates due to inability to intuitively match deformed polygons
Solution Approach 1:
The system segments the complex polygon matching problem into multiple stages: initial automated matching using geometric characteristics, identification of ambiguous cases, and manual review only for those specific cases. This segmentation allows automated processing of clear cases while maintaining precision for difficult cases.
Solution Approach 2:
The system introduces an intermediary manual review stage that acts as a mediator between automated matching and final acceptance. This intermediary layer catches and corrects automated matching errors without requiring complete manual processing, thus maintaining precision while preserving automated productivity benefits.
2Measurement precision
If manual digitisation is used to correlate vertices between epochs, then measurement precision is improved, but loss of time increases significantly
Solution Approach 1:
The system applies partial manual action only where necessary - specifically for ambiguous polygon matches that cannot be confidently resolved by automated methods. The majority of clear-cut cases are processed automatically, achieving time savings while maintaining precision through selective manual intervention.
3Device complexity
If simple equivalence testing is used to match polygons, then device complexity is reduced, but measurement precision deteriorates due to inability to handle deformed polygons
Solution Approach 1:
The system changes the matching parameters from simple equivalence testing to multi-dimensional geometric characteristic comparison including area, perimeter, vertex count, scale, orientation, and irregularity metrics. This parameter expansion enables accurate matching of deformed polygons while maintaining manageable system complexity through systematic evaluation.
4Measurement precision
If weighted fuzzy comparison is used to control false positives, then measurement precision is improved, but device complexity increases
Solution Approach 1:
The system changes the comparison methodology to weighted fuzzy logic that evaluates multiple geometric parameters with different importance weights. This allows flexible control of false positives by adjusting weights rather than adding complex decision logic, maintaining relatively simple system architecture while improving match reliability.
Data Source
AI summary
A system for cadastral epoch conflation involving previous and subsequent cadastre epochs, each comprising a plurality of shapes calculates geometric characteristics for each polygon of each epoch, the geometric characteristics comprising at least one of area, perimeter, number of vertices, scale, orientation and irregularity, calculates geometric topologies for each epoch, the topology representing neighbour relationships of the polygons of each epoch, correlates pairs of polygons from the respective epochs according to the geometric characteristics and correlates remaining pairs of polygons from the respective epochs according to the geometric topologies.


