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ICASSP
2011
IEEE
13 years 4 months ago
Maximum likelihood ICA of quaternion Gaussian vectors
This work considers the independent component analysis (ICA) of quaternion random vectors. In particular, we focus on the Gaussian case, and therefore the ICA problem is solved by...
Javier Vía, Daniel P. Palomar, Luis Vielva,...
TSP
2010
13 years 7 months ago
A quaternion widely linear adaptive filter
A quaternion widely linear (QWL) model for quaternion valued mean-squared-error (MSE) estimation is proposed. The augmented statistics are first introduced into the field of quater...
Clive Cheong Took, Danilo P. Mandic
TSP
2011
165views more  TSP 2011»
13 years 7 months ago
Quaternion ICA From Second-Order Statistics
—This paper addresses the independent component analysis (ICA) of quaternion random vectors. In particular, we focus on the Gaussian case and therefore only consider the quaterni...
Javier Vía, Daniel P. Palomar, Luis Vielva,...
ICASSP
2010
IEEE
14 years 19 days ago
Widely and semi-widely linear processing of quaternion vectors
In this paper the two main definitions of quaternion properness (or second order circularity) are reviewed, showing their connection with the structure of the optimal quaternion ...
Javier Vía, David Ramírez, Ignacio S...
VISUALIZATION
1998
IEEE
14 years 4 months ago
Constrained optimal framings of curves and surfaces using quaternion Gauss maps
We propose a general paradigm for computing optimal coordinate frame fields that may be exploited to visualize curves and surfaces. Parallel-transport framings, which work well fo...
Andrew J. Hanson
ICRA
2009
IEEE
81views Robotics» more  ICRA 2009»
14 years 7 months ago
Representing sets of orientations as convex cones
— In a wide range of applications the orientation of a rigid body does not need to be restricted to one given orientation, but can be given as a continuous set of frames. We addr...
Pål Johan From, Jan Tommy Gravdahl