boundarysharing
Boundarysharing is the relationship in which two or more spatial regions meet along a common boundary. It occurs when the boundary of one region contains a segment that coincides with a portion of the boundary of another region. In two dimensions this is commonly seen as neighboring polygons sharing an edge; in three dimensions adjacent volumes share a face, and boundaries can meet along curves or surfaces.
In mathematics, boundary sharing is often discussed in terms of adjacency and topology. Two regions are boundary-adjacent
- Cartography and cadastral surveying rely on clear boundary sharing to delineate political borders and property lines.
- Urban planning and geographic information systems depend on accurate boundary sharing to model adjacency, zoning, and
- Computer graphics and finite element analysis require well-defined boundary sharing between mesh elements to ensure proper
- In biology and materials science, boundary sharing describes interfaces between cells or grains, influencing properties such
Common issues include boundary ambiguity, data gaps, and topological inconsistencies. Detecting and repairing boundary sharing often