Quaternion Color Curvature
Shi, L., Funt, B. and Hamarneh, G., "Quaternion Color Curvature," Proc. IS&T Sixteenth Color Imaging Conference, Portland, Nov. 2008.
In this paper we propose a novel approach to measuring
curvature in color or vector-valued images (up to 4-dimensions)
based on quaternion singular value decomposition of a Hessian
matrix. This approach generalizes the existing scalar-image
curvature approach which makes use of the eigenvalues of the
Hessian matrix . In the case of vector-valued images, the
Hessian is no longer a 2D matrix but rather a rank 3 tensor. We
use quaternion curvature to derive vesselness measure for tubular
structures in color or vector-valued images by extending Frangiís
 vesselness measure for scalar images. Experimental results
show the effectiveness of quaternion color curvature in generating
a vesselness map.
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