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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.
CitationPerez-Sala, X. [et al.]. Uniform sampling of rotations for discrete and continuous learning of 2D shape models. A: "Robotic vision : technologies for machine learning and vision applications". IGI Global, 2012, p. 23-42.
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