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NICDSWorkshop: Analysis of Directional Data with Applications to Biochemicals and Biomedical ImagingMonth: November 2009 Date: November 25--27 Name: NICDSWorkshop: Analysis of Directional Data with Applications to Biochemicals and Biomedical Imaging Location: Centre de recherches mathématiques, Université de Montréal, Pavillon André-Aisenstadt, 2920, Chemin de la tour, bur. 5357 Montréal (Québec) H3T 1J4 Canada. DescriptionThis workshop explores statistical problems arising in experiments where the sample space is a non commutative Lie Group. It focuses on two specific areas, biomechanics and medical imaging. In biomechanics, motion data is often reported as elements of SE(3), the group of rigid body motions consisting of rotation- translation pairs. In the first part of the workshop various estimation problems using SE(3) data will be considered. Most presentations will be given by biomechanists who will introduce statisticians and mathematicians to methodological problems that arise in their own research activities. In the second part, popular methods of image analysis such as Diffusion Tensor Imaging (DTI) and Q-ball Imaging (QBI) will be reviewed. Several statistical methods for this type of data will be presented; some use distributions defined on the Lie group of 3x3 positive definite matrices. Information |
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