Request for Peirce quincuncial projection
This is a feature request for a Peirce quincuncial projection:
Equirectangular seems to be the most common type of projection for storing panoramas, yes it is horrible for this purpose. Distortion increases as you move further from the equator, and so the size and distribution of pixels from the original source image (whether fisheye or rectilinear) when forward-mapped into an equirectangular projection varies wildly - this makes it a horrible projection considering how JPEG compression works, considering one may want to denoise the panorama or sharpen it, etc.
The Peirce quincuncial projection has very limited distortion. From Wikipedia, "The part where the exaggeration of scale amounts to double that at the centre is only 9% of the area of the sphere, against 13% for the Mercator projection and 50% for the stereographic projection". When used in cartography, it gives an honest representation of the globe. When used for aesthetic purposes in panoramas, it gives a unique and interesting look.
Please consider adding the Peirce quincuncial projection to Hugin.