3D cuboid scene understanding by a mixed cognitive graph and log-complex mapping paradigm

A methodology is presented for analysis of wire patterns reduced from scenes containing cuboid objects. The 2D wire-pattern graph is partitioned into subgraphs representing individual cuboids. These are in turn mapped onto the log-complex plane to determine by a simple procedure the 3D orientation of each object. The transform from the polar to the log-complex plane is based on a model of the retinotopic mapping which takes place at the level of the visual cortex, which achieves size-and-rotation invariance