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Application of the Fisher-Rao Metric to Ellipse Detection [PDF]

International Journal of Computer Vision, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stephen Maybank
exaly   +5 more sources

The Fisher-Rao Metric for Projective Transformations of the Line [PDF]

International Journal of Computer Vision, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stephen Maybank
exaly   +6 more sources

A Fisher-Rao Metric for Paracatadioptric Images of Lines [PDF]

International Journal of Computer Vision, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Siohoi Ieng, Ryad Benosman, Stephen Maybank   +2 more
exaly   +6 more sources

An Approach to Fisher-Rao Metric for Infinite Dimensional Non-Parametric Information Geometry [PDF]

Entropy
Non-parametric information geometry has long faced an “intractability barrier”: in the infinite-dimensional setting, the Fisher–Rao metric is a weak Riemannian metric functional that lacks a bounded inverse, rendering classical optimization and ...
Bing Cheng, Howell Tong
doaj   +6 more sources

Approximation to the Fisher–Rao metric for the focus of expansion [PDF]

Neurocomputing, 2008
The Fisher-Rao metric for the focus of expansion is approximated, under the assumption that the focus is estimated from correspondences between two images taken by a translating camera. The approximation is accurate if the errors in the image correspondences are small.
S J Maybank
exaly   +4 more sources

A Comparison between Wasserstein Distance and a Distance Induced by Fisher-Rao Metric in Complex Shapes Clustering [PDF]

Proceedings, 2017
Shape Analysis studies geometrical objects, as for example a flat fish in the plane or a human head in the space. The applications range from structural biology, computer vision, medical imaging to archaeology. We focus on the selection of an appropriate
Angela De Sanctis, Stefano A. Gattone
doaj   +4 more sources

Fisher–Rao Distance for Finite-Energy Signal Manifolds: Geometric Foundations and Numerical Analysis [PDF]

Entropy
This paper introduces a geometric framework for analyzing finite-energy signals observed with additive noise by representing them as points on statistical manifolds equipped with the Fisher–Rao metric. Each signal is associated with a parameter vector θ,
Franck Florin
doaj   +2 more sources

An Information-Geometric Justification for Composite Coherence in Event-Based Narrative Extraction [PDF]

Entropy
Graph-based narrative extraction relies on a coherence function to score transitions between events, but the coherence metrics in current use are defined operationally and lack an information-theoretic foundation.
Brian Keith-Norambuena
doaj   +2 more sources

Application of the Fisher-Rao Metric to Structure Detection

Journal of Mathematical Imaging and Vision, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stephen Maybank
exaly   +4 more sources

An Interpolating Distance Between Optimal Transport and Fisher–Rao Metrics [PDF]

Foundations of Computational Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gabriel Peyre, Bernhard Schmitzer, Lenaic Chizat   +2 more
exaly   +4 more sources