1. Piecewise Linear Rubber-Sheet Map Transformation
- Author
-
Marvin S. White and Patricia Griffin
- Subjects
Geography, Planning and Development ,General Engineering ,Base (geometry) ,Geometry ,Stable map ,Homeomorphism ,Coincidence ,Piecewise linear function ,Combinatorics ,Transformation (function) ,Simple (abstract algebra) ,Management of Technology and Innovation ,General Earth and Planetary Sciences ,Triangulation ,General Environmental Science ,Civil and Structural Engineering ,Mathematics - Abstract
We present a computationally simple and inexpensive method to induce coincidence between one map and another, regardless of their respective projections. We imagine the map to be transformed on a rubber sheet stretched to coincide with a stable base map at an average of 15 control points; for more precise coincidence, we add more control points. We compute triangles on the rubber-sheet map, using control points as vertices, and with a procedure called piecewise linear homeomorphism, map these triangles linearly onto corresponding triangles on the stable map.
- Published
- 1985