BIOMEDICAL IMAGING GROUP (BIG)
Laboratoire d'imagerie biomédicale (LIB)

Registration and Statistical Analysis of PET Images Using the Wavelet Transform

M. Unser, P. Thévenaz, C. Lee, U.E. Ruttimann

IEEE Engineering in Medecine and Biology Magazine, vol. 14, no. 5, pp. 603-611, September-October 1995.

We have described a general procedure for the processing and analysis of PET data. We have used the multiresolution framework of the wavelet transform to derive new solutions for the two main processing steps. The first task was to align the various brain images using a general affine deformation model. Our registration procedure uses a continuous polynomial spline image model and takes advantage of the multiresolution structure of the underlying function spaces. This method implements a nonlinear least squares optimization technique with a coarse-to-fine iteration strategy that substantially improves the overall performance of the algorithm. The second task was to analyze the series of registered images and to detect the between group differences in metabolic brain activity. We chose to take advantage of the orthogonality and localization properties of the wavelet transform. Our approach was to apply this transform to the group-difference image and identify the wavelet channels that are globally significantly different from noise. 

@ARTICLE(http://bigwww.epfl.ch/publications/unser9505.html,
AUTHOR="Unser, M. and Th{\'{e}}venaz, P. and Lee, C. and Ruttimann,
	U.E.",
TITLE="Registration and Statistical Analysis of {PET} Images Using
	the Wavelet Transform",
JOURNAL="{IEEE} Engineering in Medecine and Biology Magazine",
YEAR="1995",
volume="14",
number="5",
pages="603--611",
month="September-October",
note="")

© 1995 IEEE. 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 IEEE. 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.