Drawing Equirectangular Perspectives for Immersive Panoramas

This will be a companion web page for the paper Drawing Equirectangular VR Panoramas with Ruler, Compass, and Protractor, which heavily revises and expands upon preliminary results presented in my Macau conference paper, Drawing Equirectangular Perspectives for Immersive Panoramas. This page is currently under construction.

My plan is to place here, as time permits, representative examples, notes, and code, to supplement the paper. Currently it holds the VR panoramas mentioned in the text.


Spherical Perspective

Equirectangular spherical perspective isn't as nice as azimuthal equidistant spherical perspective in terms of great circle plots. Great circles plot like longitude=arctan(a.cos(latitude)), which with the apex at high latitudes makes for some rather squarish lines. But these too can be well approximated by ruler and compass. see my upcoming paper "Guidelines for drawing VR panoramas in equirectangular perspective".

The good thing about these equirectangular perspectives is that Flickr, Google, Facebook, and so on, know how to render them as VR panoramas, which basically means, as interactive planar anamorphoses. So:

Click on the picture below to see it as a VR panorama.

Equirectangular panorama of a cubic room


Equirectangular perspective of three pencils of straight lines, going to 15, 45, and 75 longitude vanishing points respectively, from left to eight. We can see that these lines take a rather complex sigmoidal shape.

Click on the picture below to see it as a VR panorama.

testlines2

A drawing from observation of my stairwell.

Click on the picture below to see it as a VR panorama.

fig_handdrawing

A drawing of a room from observation. Notice the regular tiling on the floor.

Click on the picture below to see it as a VR panorama.

Equirectangular Sketch of my room - continued

A drawing of ISEL's inner courtyard.

Click on the picture below to see it as a VR panorama.

panoramic drawing of ISEL engineering school

Construction of the vanishing points of ISEL's inner courtyard.

Click on the picture below to see it as a VR panorama.

panoramic drawing of ISEL, an engineering school in Portugal

EXIF injections:

Placing VR panoramas on facebook requires injection of the correct EXIF data. An easy way to do it online is through the Thexifer web app.

You can for instance choose Make as "RICOH" and Model as "RICOH THETA S".

An alternative, quicker way to do it is with The 360 Toolkit, a web site that is also very practical for converting between equirectangular perspective and cubemaps.


António Araújo, DceT, Universidade Aberta Antonio.Araujo@uab.pt

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