4,822 research outputs found
Construction of Bayesian Deformable Models via Stochastic Approximation Algorithm: A Convergence Study
The problem of the definition and the estimation of generative models based
on deformable templates from raw data is of particular importance for modelling
non aligned data affected by various types of geometrical variability. This is
especially true in shape modelling in the computer vision community or in
probabilistic atlas building for Computational Anatomy (CA). A first coherent
statistical framework modelling the geometrical variability as hidden variables
has been given by Allassonni\`ere, Amit and Trouv\'e (JRSS 2006). Setting the
problem in a Bayesian context they proved the consistency of the MAP estimator
and provided a simple iterative deterministic algorithm with an EM flavour
leading to some reasonable approximations of the MAP estimator under low noise
conditions. In this paper we present a stochastic algorithm for approximating
the MAP estimator in the spirit of the SAEM algorithm. We prove its convergence
to a critical point of the observed likelihood with an illustration on images
of handwritten digits
Learning Descriptors for Object Recognition and 3D Pose Estimation
Detecting poorly textured objects and estimating their 3D pose reliably is
still a very challenging problem. We introduce a simple but powerful approach
to computing descriptors for object views that efficiently capture both the
object identity and 3D pose. By contrast with previous manifold-based
approaches, we can rely on the Euclidean distance to evaluate the similarity
between descriptors, and therefore use scalable Nearest Neighbor search methods
to efficiently handle a large number of objects under a large range of poses.
To achieve this, we train a Convolutional Neural Network to compute these
descriptors by enforcing simple similarity and dissimilarity constraints
between the descriptors. We show that our constraints nicely untangle the
images from different objects and different views into clusters that are not
only well-separated but also structured as the corresponding sets of poses: The
Euclidean distance between descriptors is large when the descriptors are from
different objects, and directly related to the distance between the poses when
the descriptors are from the same object. These important properties allow us
to outperform state-of-the-art object views representations on challenging RGB
and RGB-D data.Comment: CVPR 201
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