Latlong to cubemap
Download scene: File:latlong_to_cubemap_v04.hipnc
Many thanks to Eetu for solving the last bit I was struggling with!
Been doing more and more pano experiments in Houdini lately, but I always have to keep Nuke open to do relatively simple things. A key thing is to be able to transform from a equirectangular/latlong panorama to a cubemap. Having recently worked out how to put a vex snippet in a cop vop, this seemed a good thing to try.
First, I did some intense research on polar maths and space conversion , which led me to this post:
The trickiest part here was taking the python answer, and translating it into vex. Not the language per se, but the inherent serial operation of most other languages, vs the clean parallelism of vex. The python one set up lots of iterators to march through the pixels, took a few goes to understand what could be stripped away. They were also doing lots of stuff to fix aliasing and sampling, which wasn't a concern here as the cinput vop takes care of all that.
Anyway, got it all ported and... it was almost right. Could see the N/S/E/W planes were almost correct, but the top and bottom were skewed, and all a little off. At that point it was past midnight, so I posted my work in progress to the discord houdini chatroom.
In the morning, Eetu found the fix, amusingly using a technique similar to mine; try and understand the logic behind it, work out where the fix should be, find it didn't work, then randomly insert multipliers here and there until one started to move things in the right way, then playing with that number until its fixed. At some point I'll go back and try and understand why, but not right now.
To show-off, you can slide the pano horizontally (making sure wrap is enabled), and you get that cool cube tumble effect. I also show off that handy feature of houdini to use http paths to images. I'd planned to use the panos that ship with Houdini in $HFS/houdini/pic/, but annoyingly they're in a houdini cubemap format already, and to unpack those into a latlong, then back to cubemap, seemed more effort than it was worth.
The idea behind the code is to treat the image as a new blank cubemap, and work out where to lookup the corect values from the latlong. First it identifies the NSEW zones, which are every 1/4 across the image. Then it divides the image vertically into thirds, and defines the top third as top of the cube, and bottom third as bottom of the cube.
Now that it knows the regions, it calculates the uv position on the sphere using the previously defined outImgToXYZ function. This does a conversion from the 2d cubmap positions into 3d sphere positions. This is then used to get the polar coordinates (ie, the compass direction, or theta, then the up/down angle, or phi), to find the pixel we need on the latlong, which is in turn used to drive the copinput vop.
The top and bottom regions will cover the entire top and bottom strips, so I make a mask based on the regions to multiply the results against later to get a clean cubemap image.