In computational geometry, handling irregular polygons often requires decomposing them into simpler, regular shapes. A common challenge is that concave polygons may have narrow regions that complicate downstream processing. This article introduces a directional morphological opening algorithm that identifies and cuts these narrow areas along a specific direction while preserving other geometric characteristics. The technique is particularly useful in GIS applications, CAD modeling, and spatial analysis where polygon quality directly impacts performance. By applying morphological operations directionally, the algorithm achieves a balance between simplification and feature retention. This approach offers a robust alternative to traditional polygon decomposition methods, especially when dealing with complex real-world geometries. Developers working with geometric algorithms can benefit from understanding this pattern for improving their own processing pipelines.
A directional morphological opening algorithm for decomposing irregular polygons into regular sub-polygons, preserving geometric features while cutting narrow regions.