Euler Spiral Map Projection

Instantly share code, notes, and snippets. X = r ( λ − λ 0) y = r ln [ tan ( π / 4 + ψ / 2)] where λ is the longitude and ψ is the latitude. The spiral always has one of it's ending points with a curvature of 0 (where it connects to the line segment of the road) and the other as a constant (e.g.

The euler spiral map projection the euler spiral map projection is curving globe onto a flat spiral. The interesting point for cartographers is that the more spirals used in a euler spiral map projection the less distortion there is. Obviously if you turn a globe into spaghetti there'll be no distortion since there'll be nothing left to distort.

0.05 where it connects to an arc).

A euler spiral can therefore be used to create a map projection by projecting a curved globe onto a flat spiral. The problem is shown graphically in figure 2. The more spirals used in a euler spiral map projection the less distortion there is. A line that intersects lines of longitude at a constant angle.the euler strip does not have straight edges, they are curved, and the cardinal compass points vary in orientation depending on location, but the distortion is minimal.