Representing Multiple Orientation in 2D with Orientation Channel Histograms

The channel representation is a simple yet powerful representation of scalars and vectors. It is especially suited for representation of several scalars at the same time without mixing them up. This report is partly intended to serve as a simple illustration of the channel representation. The report shows how the channels can be used to represent multiple orientations in two dimensions. The idea is to make a channel representation of the local orientation angle computed from the image gradient. The representation basically becomes an orientation histogram with overlapping bins. The channel histogram is compared with the orientation tensor, which is another representation of orientation. The performance comparable to tensors in the simple signal case, but decreases slightly for increasing number of channels. The channel histogram outperforms the tensors on non-simple signals.