Sadly for you I can't put the real documentation for these items here, as it might help you cheat on your tests and projects if you are a student in CSCI-4190 Introduction to Robotic Algorithms. Instead I give you pictures and captions! (If you are a researcher and you are set on the idea of using these planners, please contact me for information. There is plenty of code and some documentation, but I cannot provide any assistance beyond that.)

0.0 Pictures of motion planners! In action!

world1
Fig. 1: World 1
world1-cspace
Fig. 2: World 1 With C-Space
world2
Fig. 3: World 2
world2-cspace
Fig. 4: World 2 With C-Space

Figures 1-4 show the workspace (two 'worlds', each with and without a C-space). For those not in the know, a C-space (configuration space) representation of a workspace is basically a representation of where the reference point of a robot (rather than a whole robot) can go -- it reduces the robot to a 'point', making motion planning a lot easier in some cases.

Now here are some motion planners planning motions for Mr. Triangular Robot. Sadly, I will not be explaining how they work like I do in the real documentation, though you might be able to guess and/or read a book.

0.1 Uniform Grid (2d & 3d)

ug1
Fig. 5: Uniform Grid Planner (2d, World 1)
ug2
Fig. 6: Uniform Grid Planner (2d, World 2)

0.2 Quadtree (2d)

qt1
Fig. 7: Quadtree Planner (World 1)
qt2
Fig. 8: Quadtree Planner (World 2)

0.3 Triangulation (2d)

t1
Fig. 9: Triangulation Planner (World 1)
t2
Fig. 10: Triangulation Planner (World 2)

0.4 Visibility Graph (2d)

vg1
Fig. 11: Visibility Graph Planner (World 1)
vg2
Fig. 12: Visibility Graph Planner (World 2)

0.5 Probabilistic Roadmap (2d & 3d)

prm1
Fig. 13: PRM Planner (3d, World 1)
prm2
Fig. 14: PRM Planner (3d, World 2)

0.6 Nonholonomic Grid Planner (2d)

ng1
Fig. 15: NH Grid Planner (World 1)
ng2
Fig. 16: NH Grid Planner (World 2)

0.7 Holonomic Refinement Planner (2d)

nr1
Fig. 15: Refinement Planner (World 1)
nr2
Fig. 16: Refinement Planner (World 2)

0.8 Nonholonomic Probabilisitic Roadmap (2d)

np1
Fig. 17: Nonholonomic PRM (World 1)
np2
Fig. 18: Nonholonomic PRM (World 2)