Abstract: Visual inputs are one of the key sources from which
humans perceive the environment and 'understand' what is
happening. Artificial systems perceive the visual inputs as digital
images. The images need to be processed and analysed. Within the
human brain, processing of visual inputs and subsequent
development of perception is one of its major functionalities. In this
paper we present part of our research project, which aims at the
development of an artificial model for visual perception (or
'understanding') based on the human perceptive and cognitive
systems. We propose a new model for perception from visual inputs
and a way of understaning or interpreting images using the model.
We demonstrate the implementation and use of the model with a real
image data set.
Abstract: In this paper, we present an analytical analysis of the
representation of images as the magnitudes of their transform with
the discrete wavelets. Such a representation plays as a model for
complex cells in the early stage of visual processing and of high
technical usefulness for image understanding, because it makes the
representation insensitive to small local shifts. We found that if the
signals are band limited and of zero mean, then reconstruction from
the magnitudes is unique up to the sign for almost all signals. We
also present an iterative reconstruction algorithm which yields very
good reconstruction up to the sign minor numerical errors in the very
low frequencies.