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Current Trends in Bayesian Methodology with Applications
book

Current Trends in Bayesian Methodology with Applications

by Satyanshu K. Upadhyay, Umesh Singh, Dipak K. Dey, Appaia Loganathan
May 2015
Intermediate to advanced content levelIntermediate to advanced
680 pages
22h 33m
English
Chapman and Hall/CRC
Content preview from Current Trends in Bayesian Methodology with Applications
352 Current Trends in Bayesian Methodology with Applications
surfaces termed square-root normal fields. This is the framework we describe
in the remainder of this chapter. In particular, we define a proper distance be-
tween shapes of surfaces under a s implified elastic Riemannian metric (hence
the title elastic prior shape models”). We define a sha pe space of surfaces
and utilize it for statistical analysis. In particular, we describe a framework
for co mputing summary statistics of shapes such as the mean and covariance.
Using these, we learn Gaussian generative models o n the shape space and pro-
vide a recip e for random sampling. Obtaining representative random samples
of shapes of 3D objects is crucial in Bayesian modeling of shape data and
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Publisher Resources

ISBN: 9781482235128