Version 1.0, August 31, 2001, Copyright, Hugh Jack 1993-2001

40.2.1 PROBLEM DIMENSIONALITY

A problem may be represented in one of a number of different dimensions. The fewer the dimensions in the problem, the simpler the solution. A 2D problem is relatively simple, and good solutions already exist for finding paths in this representation. When height is added to the 2D obstacles, it becomes a 2.5D problem. This 2.5D problem is also within the grasp of current problem solving routines. When we try a 3D problem the problem starts to push the current limits of researched techniques and computational ability.

 

Figure 2.1 Dimensionality of Obstacles