P-152: Virtual World Concept Update 167: Planet-sized Terrain: Part 46

by PhoenixGames on Sep.04, 2016, under Astral Realms, P-0, Software and Games, Spiritus Astrum

The idea that I had to correct the offset on the Z-axis didn’t seem to be working out well, so I decided to try to convert the coordinate system that I am using into spherical coordinates.

Once I have done this, the plan is to use Rodrigues’ rotation formula to rotate, instead of translate, the nodes. IE, instead of moving the nodes back towards the origin (in a linear fashion) as the player moves, I would instead rotate the nodes back along the radius of the planet. I can then convert the nodes back to cartesian coordinates, and this should solve the problem.

This process has been going well, and I think I am fairly close to being able to implement this, but I am not sure if it will actually work.

The first of the below images show my attempts to add an offset to the z-axis of the terrain. I made some progress with this, but it is quite a messy solution, and doesn’t appear to work as well the further the player travels from the origin (in world space).