New challenges in non-linear signal and image processing

This paper will trace the origins of non-linear signal and image processing techniques from their separate sources based in set theory and logic to the more unified field that we see today. It will outline the technical difficulties resulting from the abandonment of well-known linear design methods and the subsequent advantages in terms of improved results. Some new design methods such as statistical estimation will be summarised. Finally, new challenges, such as the extension to multivariate data and applications in security, control and bioscience will be introduced. These will topics will be covered in more detail by subsequent speakers.