forwarding (drawing) line in 3d grid

Question

I need something like Bresenham algorithm but not quite and for 3d grid-space.

I got 3d grid of cells (edge size 1.0) need to start in point S and advance to point

Answer 1

Consider using of Woo and Amanatides grid traversal algorithm: article "Fast Voxel Traversal Algorithm..."

Practical implementation is in grid traversal section here

2d-case illustration: