Today I read a paper titled “Warping Peirce Quincuncial Panoramas”
The abstract is:
The Peirce quincuncial projection is a mapping of the surface of a sphere to the interior of a square.
It is a conformal map except for four points on the equator.
These points of non-conformality cause significant artifacts in photographic applications.
In this paper, we propose an algorithm and user-interface to mitigate these artifacts.
Moreover, in order to facilitate an interactive user-interface, we present a fast algorithm for calculating the Peirce quincuncial projection of spherical imagery.
We then promote the Peirce quincuncial projection as a viable alternative to the more popular stereographic projection in some scenarios.