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JMIV
2006

Application of the Fisher-Rao Metric to Structure Detection

13 years 3 months ago
Application of the Fisher-Rao Metric to Structure Detection
Abstract - Certain structure detection problems can be solved by sampling a parameter space for the different structures at a finite number of points and checking each point to see if the corresponding structure has a sufficient number of inlying measurements. The measurement space is a Riemannian manifold and the measurements relevant to a given structure are near to or on a submanifold which constitutes the structure. The probability density function for the errors in the measurements is described using a generalisation of the Gaussian density to Riemannian manifolds. The conditional probability density function for the measurements yields the Fisher information which defines a metric, known as the Fisher-Rao metric, on the parameter space. The main result is a derivation of an asymptotic approximation to the Fisher-Rao metric, under the assumption that the measurement noise is small. Using this approximation to the Fisher-Rao metric, the parameter space is sampled, such that each po...
Stephen J. Maybank
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2006
Where JMIV
Authors Stephen J. Maybank
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