16.20 - The Dimensionally Extended 9 Intersection Model - Teradata Vantage NewSQL Engine

Teradata Vantage™ Geospatial Data Types

Teradata Database
Teradata Vantage NewSQL Engine
March 2019
Programming Reference

A large number of spatial relationships between two ST_Geometry values can be based on testing for intersections between the interior, boundary, and exterior of the two values. For example, two ST_Geometry values are disjoint if neither the interiors nor the boundaries of either value intersect.

The intersections of any interior, boundary, or exterior of two ST_Geometry values can result in a set of ST_Geometry values of mixed dimension. For example, the intersection of the boundaries of two ST_Polygon values may consist of an ST_Point value and an ST_LineString value.

SQL/MM Spatial uses a dimensionally extended nine intersection model (DE-9IM) that expresses spatial relationships among ST_Geometry values as pair-wise intersections of their interior, boundary, and exterior with consideration for the dimension of the resulting intersections.

In the following 3-by-3 matrix, I(a), B(a), and E(a) represent the interior, boundary, and exterior of ST_Geometry value a, and I(b), B(b), and E(b) represent the interior, boundary, and exterior of ST_Geometry value b. The ST_Dimension method returns a value of -1, 0, 1, or 2, where a value of -1 corresponds to the dimension of the empty set ().

  Interior Boundary Exterior
Interior (I(a) I(b)).ST_Dimension (I(a) B(b)).ST_Dimension (I(a) E(b)).ST_Dimension
Boundary (B(a) I(b)).ST_Dimension (B(a) B(b)).ST_Dimension (B(a) E(b)).ST_Dimension
Exterior (E(a) I(b)).ST_Dimension (E(a) B(b)).ST_Dimension (E(a) E(b)).ST_Dimension