Here are two images which may (or may not) give an idea about another fast algorithm for real time rendering of 3D point cloud scenes (but attention, the images are drawn for the baby model of 2D point cloud scenes). The secret lies in the database.
I have a busy schedule the next weeks and I have to get it out of my system. Therefore, if anybody gets it then please send me a comment here. Has this been done before, does it work?
The images now: the first has no name
Hint: this is a solution for the ray shooting problem (read it) which eliminates trigonometry, shooting rays, computing intersections, and it uses only addition operation (once the database is well done), moreover, the database organized as in the pictures cannot be bigger than the original one (thus it is also a compression of the original database).