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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
Bayesian Active Contours with Affine-Invariant Elastic Shape Prior 145
which is equal to the length of the curve and is na turally invariant to any
re-parameterization. It is shown in [10] that the gradient of E
smooth
is given
by the Euclidean heat flow equation
E
smooth
(β)(t) = κ
β
(t)n(t), (7.6)
where κ
β
(t) is the curvature of β(t). It has been shown that this penalty on
a curve’s length automa tically leads to smoothing of a curve by forcing the
curve to become convex over time. Eventually, the curve evolves to a circle
and shrinks to a point as the evo lution time goe s to infinity.
7.3.4 Computing E
prior
and its gradient
Given a prio r shape class ({[q
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Publisher Resources

ISBN: 9781482235128