%0 Book Section
%T Uniform Sampling of Rotations for Discrete and Continuous Learning of 2D Shape Models
%A Xavier Perez Sala
%A Laura Igual
%A Sergio Escalera
%A Cecilio Angulo
%B Vision Robotics: Technologies for Machine Learning and Vision Applications
%D 2012
%N 2
%I IGI-Global
%F Xavier Perez Sala2012
%O MILAB;HuPBA
%O exported from refbase (http://refbase.cvc.uab.es/show.php?record=2064), last updated on Wed, 12 Mar 2014 15:05:20 +0100
%X Different methodologies of uniform sampling over the rotation group, SO(3), for building unbiased 2D shape models from 3D objects are introduced and reviewed in this chapter. State-of-the-art non uniform sampling approaches are discussed, and uniform sampling methods using Euler angles and quaternions are introduced. Moreover, since presented work is oriented to model building applications, it is not limited to general discrete methods to obtain uniform 3D rotations, but also from a continuous point of view in the case of Procrustes Analysis.
%U http://refbase.cvc.uab.es/files/PIE2012.pdf
%U http://dx.doi.org/10.4018/978-1-4666-2672-0.ch002
%P 23-42