TY - GEN
T1 - Blurring-invariant Riemannian metrics for comparing signals and images
AU - Zhang, Zhengwu
AU - Klassen, Eric
AU - Srivastava, Anuj
AU - Turaga, Pavan
AU - Chellappa, Rama
PY - 2011
Y1 - 2011
N2 - We propose a novel Riemannian framework for comparing signals and images in a manner that is invariant to their levels of blur. This framework uses a log-Fourier representation of signals/images in which the set of all possible Gaussian blurs of a signal, i.e. its orbits under semigroup action of Gaussian blur functions, is a straight line. Using a set of Riemannian metrics under which the group actions are by isometries, the orbits are compared via distances between orbits. We demonstrate this framework using a number of experimental results involving 1D signals and 2D images.
AB - We propose a novel Riemannian framework for comparing signals and images in a manner that is invariant to their levels of blur. This framework uses a log-Fourier representation of signals/images in which the set of all possible Gaussian blurs of a signal, i.e. its orbits under semigroup action of Gaussian blur functions, is a straight line. Using a set of Riemannian metrics under which the group actions are by isometries, the orbits are compared via distances between orbits. We demonstrate this framework using a number of experimental results involving 1D signals and 2D images.
UR - http://www.scopus.com/inward/record.url?scp=84863042732&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84863042732&partnerID=8YFLogxK
U2 - 10.1109/ICCV.2011.6126442
DO - 10.1109/ICCV.2011.6126442
M3 - Conference contribution
AN - SCOPUS:84863042732
SN - 9781457711015
T3 - Proceedings of the IEEE International Conference on Computer Vision
SP - 1770
EP - 1775
BT - 2011 International Conference on Computer Vision, ICCV 2011
T2 - 2011 IEEE International Conference on Computer Vision, ICCV 2011
Y2 - 6 November 2011 through 13 November 2011
ER -