3-D interpretation of single line drawings based on entropy minimization principle

The human visual system can interpret two-dimensional (2-D) line drawings like the Necker cube as three-dimensional (3-D) wire frames. On this human ability Thomas Marill presented two important papers. First one proposed the 3-D interpretation model based on the principle to minimize the standard deviation of the angles between line segments in 3-D wire frame (MSDA), and reported the results of simulation experiments. Second one proposed the principle to minimize the description length on the internal representation in visual system. Motivated by Marill´s principle to minimize the description length, we propose a principle to minimize the entropy of angle distribution between line segments in a 3-D wire frame (MEAD), which is more general than the MSDA one. And we implement the principle MEAD using a genetic algorithm (GA) as a simulation program. The results of simulation experiments show that the proposed principle of MEAD is more appropriate than the MSDA and another principle.