Transformations may or may not change Geometrical Relationships
The taxonomy for classifying mathematical transformations is complex and there are a lot of types:
- isometric, linear, bi-linear, conformal, orthogonal, affine, isomorphic, ...
For SEDRIS, two classifications are sufficient for transformations associated with earth referenced coordinate frameworks.
- Geometry Invariant (GI): that class of transformations between coordinate reference frames that do not distort geometrical relationships.
- Non-Geometry Invariant (NGI): that class of transformations between coordinate reference frames that distort some geometrical relationships.