Theory and Application of General Linear Image Processing

Call for Papers

When studying images formed by transmitted or reflected light or observed by the human visual perception system, it is not rigorous to be constrained to the usual mathematical definition of linearity. This implies that the conventional addition “+” and scalar multiplication “x” operations are not optimal for these types of images. The major reason is that the superposition of such images does not obey the classical additive law. Therefore, although the classical linear approach has played a central role in image processing, it is not necessarily the best and even the right choice.

The general linear image processing (GLIP) framework has been introduced to overcome these problems. Indeed, by using abstract linear algebra it is possible to develop entirely new general linear operations (addition, scalar multiplication, convolution, etc.) in order to describe how images are combined, amplified, and transformed. For example, specific derivatives and integrals can be introduced allowing gradients or Laplacians, filtering and Fourier or wavelet transforms in the GLIP sense to be formulated. The GLIP framework has been shown to be consistent with physical image models, namely, the reflectance and transmittance image formation processes. The GLIP framework is also consistent with several human visual perception laws and characteristics such as Weber's and Fechner's brightness laws and the psychophysical contrast.

This special issue aims at presenting the recent theoretical and practical advances in general linear image processing (GLIP). Original research articles as well as review articles are welcome. Since image processing is a multidisciplinary field, potential authors from various scientific communities including mathematics, physics, computer science, and engineering are encouraged to submit their research work to this special issue in order to promote a comprehensive forum. The guest editors seek to gather high-quality, original, state-of-the-art, and unpublished research contributions. Topics of interest include (listed by alphabetical order), but are not limited to:

• General linear image formation models
• Gray level or color image vector spaces or other general linear structures
• Human-vision-based general linear image processing
• Image quality evaluation using general linear models
• Logarithmic and homomorphic image processing
• Applications of general linear image processing

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/asp/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable:

Lead Guest Editor

• Jean-Charles Pinoli, Centre CIS-LPMG, UMR CNRS 5148, Ecole Nationale Supérieure des Mines de Saint-Etienne, Saint-Etienne Cedex 2, France

Guest Editors

• Dennis Deng, Department of Electronic Engineering, La Trobe University, Bundoora, VIC 3086, Australia
• Karen Panetta, Department of Electrical and Computer Engineering, Tufts University, Medford, MA, USA