Fourier Analysis and Medical Image Filtering
Even after completing a course on Fourier transform, it is difficult for many students to mentally represent a function or an image in the frequency domain. Several technologies exclusively work in the frequency domain like television and magnetic resonance imaging (MRI), making an understanding of this issue essential. As such, this book depicts the transformation into the frequency domain in detail, covering topics from Fourier series to image filtering and enhancement. It also provides a progressive introduction to programming in Matlab, as well as detailed operations of Fourier series and Fourier transforms, convolution and filtering, with numerical applications on functions and images at each step of the data processing.
M’hamed Bentourkia, PhD, is a nuclear physicist. He received his PhD in Medical Imaging and Radiobiology from the University of Sherbrooke, Canada, where he currently serves as Professor. He worked as a Postdoctoral Fellow at the Catholic University of Louvain-La-Neuve, Belgium, and at Hammersmith Hospital, London. His main research focus is positron emission tomography image analyses and pharmacokinetic modeling, and Monte Carlo simulation in medical imaging and in radiation dosimetry. He is the author of over 100 publications.
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