Learn More
Lie groups appear in many fields from Medical Imaging to Robotics. In Medical Imaging and particularly in Computational Anatomy, an organ's shape is often modeled as the deformation of a reference shape, in other words: as an element of a Lie group. In this framework, if one wants to model the variability of the human anatomy, e.g. in order to help(More)
Bijan Afsari Young Joon Ahn Andrés Almansa Andreas Alpers L. Alvarez Eric Andres Michel Antunes Erchan Aptoula Pablo Arias Ery Arias-Castro Jean-Francois Aujol George Azzopardi Martin Bähr Lu Bai Peter Balazs Coloma Ballester Joao Barreto Thomas Batard Joost Batenburg Étienne Baudrier Amir Beck Alexander Beigl Martin Benning Ronny Bergmann Bejamin Berkels(More)
We use tools from geometric statistics to analyze the usual estimation procedure of a template shape. This applies to shapes from landmarks, curves, surfaces, images etc. We demonstrate the asymptotic bias of the template shape estimation using the stratified geometry of the shape space. We give a Taylor expansion of the bias with respect to a parameter σ(More)
Theoretical Physics Department MSc Quantum Fields and Fundamental Forces Defining a mean on Lie groups by Nina Miolane Statistics are mostly performed in vector spaces, flat structures where the computations are linear. When one wants to generalize this setting to the non-linear structure of Lie groups, it is necessary to redefine the core concepts. For(More)
  • 1