NonLinear Model for Complex Neurons in Biological Visual Visions

Complex cells in biological visual vision are well known to be nonlinear. In this paper, it is demonstrated that these nonlinear complex cells can be modelled under some certain conditions by a biologically inspired model which is nonlinear in nature. Our model consists of cascaded neural layers accounting for anatomical evidence in biological early visual visions. In the model proposed in this paper, the axons associated with the complex cells are considered to operate nonlinearly. We also consider the second order interaction receptive maps as directional derivatives of the complex cell's kernel along the direction of orientation tuning. Our numerical results are similar to the biologically recorded data reported in the literature