Biomedical Imaging GroupSTI
English only   BIG > Publications > Impact of Mathematics

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 PDF not available
 PS not available
 All BibTeX References

Advanced Bio-Imaging: The Impact of Mathematics and Signal Processing

M. Unser

Plenary talk, Fifth Caesarium, Advances in Biomedicine, Internationale Tagung des Forschungszentrums Caesar (CAESAR'04), Bonn, Federal Republic of Germany, September 6-8, 2004.

In this presentation, we emphasize the key role that is played by mathematics and signal processing in modern bio-imaging. The main reason for this is that developers and engineers have been taking full advantage of the increasing power of computers; they are applying more and more sophisticated algorithms for extracting structural and functional volumetric information from raw measurements (computed imaging), and for processing, visualizing, and analyzing the image data. Most observers will agree that the algorithmic part has become an essential component of the imaging process and that its importance is likely to grow even further in the future. We will make our point by focusing on one particular class of techniques called image transforms, the principle of which is to decompose the signal (or image) of interest into a sum of elementary components. First, we will discuss the Fourier transform and show that it provides the mathematical and algorithmic foundation for a number of prominent imaging modalities; these include x-ray and emission tomographies (CT, PET, SPECT), cryo-electron tomography, several types of optical microscopy (including fluorescence), and magnetic resonance imaging (MRI). Second, we will present the wavelet transform, a more recent development that appears to be ideally suited for signal and image processing. We will explain the basic principles of the approach and illustrate its use in advanced biomedical image processing. In particular, we will consider the problem of detecting neuronal activity patterns in functional MRI.

AUTHOR="Unser, M.",
TITLE="Advanced Bio-Imaging: {T}he Impact of Mathematics and Signal
BOOKTITLE="Fifth Caesarium, Advances in Biomedicine, Internationale
        Tagung des Forschungszentrums Caesar ({CAESAR'04})",
address="Bonn, Federal Republic of Germany",
month="September 6-8,",
note="Plenary talk")

© 2004 CAESAR. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from CAESAR.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.