Document Type



Available under a Creative Commons Attribution Non-Commercial Share Alike 4.0 International Licence


Applied mathematics

Publication Details

Horwood Publishing, vol: ISBN:1-898563-49-7, 2005


Newspapers and the popular scientific press today publish many examples of highly impressive images. These images range, for example, from those showing regions of star birth in the distant Universe to the extent of the stratospheric ozone depletion over Antarctica in springtime, and to those regions of the human brain affected by Alzheimer’s disease. Processed digitally to generate spectacular images, often in false colour, they all make an immediate and deep impact on the viewer’s imagination and understanding.

Professor Jonathan Blackledge’s erudite but very useful new treatise Digital Image Processing: Mathematical and Computational Methods explains both the underlying theory and the techniques used to produce such images in considerable detail. It also provides many valuable example problems - and their solutions - so that the reader can test his/her grasp of the physical, mathematical and numerical aspects of the particular topics and methods discussed. As such, this magnum opus complements the author’s earlier work Digital Signal Processing. Both books are a wonderful resource for students who wish to make their careers in this fascinating and rapidly developing field which has an ever increasing number of areas of application.

The strengths of this large book lie in:
• excellent explanatory introduction to the subject;
• thorough treatment of the theoretical foundations, dealing with both electromagnetic and acoustic wave scattering and allied techniques;
• comprehensive discussion of all the basic principles, the mathematical transforms (e.g. the Fourier and Radon transforms), their interrelationships and, in particular, Born scattering theory and its application to imaging systems modelling;
discussion in detail - including the assumptions and limitations - of optical imaging, seismic imaging, medical imaging (using ultrasound), X-ray computer aided tomography, tomography when the wavelength of the probing radiation is of the same order as the dimensions of the scatterer, Synthetic Aperture Radar (airborne or spaceborne), digital watermarking and holography;
detail devoted to the methods of implementation of the analytical schemes in various case studies and also as numerical packages (especially in C/C++);
• coverage of deconvolution, de-blurring (or sharpening) an image, maximum entropy techniques, Bayesian estimators, techniques for enhancing the dynamic range of an image, methods of filtering images and techniques for noise reduction;
• discussion of thresholding, techniques for detecting edges in an image and for contrast stretching, stochastic scattering (random walk models) and models for characterizing an image statistically;
• investigation of fractal images, fractal dimension segmentation, image texture, the coding and storing of large quantities of data, and image compression such as JPEG;
• valuable summary of the important results obtained in each Chapter given at its end;
• suggestions for further reading at the end of each Chapter.

I warmly commend this text to all readers, and trust that they will find it to be invaluable.

Professor Michael J Rycroft
Visiting Professor at the International Space University, Strasbourg, France, and at Cranfield University, England.