Structure tensor: Difference between revisions

Revision as of 00:26, 15 January 2021

Revision as of 04:08, 11 February 2021

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{{Short description|Tensor related to gradients}}

In mathematics, the '''structure [[tensor]]''', also referred to as the '''second-moment matrix''', is a [[matrix (mathematics)|matrix]] derived from the [[gradient]] of a [[function (mathematics)|function]]. It summarizes the predominant directions of the gradient in a specified neighborhood of a point, and the degree to which those directions are [[Coherence (physics)|coherent]]. The structure tensor is often used in [[image processing]] and [[computer vision]].<ref name=bigun86>

J. Bigun and G. Granlund (1986), ''Optimal Orientation Detection of Linear Symmetry''. Tech. Report LiTH-ISY-I-0828, Computer Vision Laboratory, Linkoping University, Sweden 1986; Thesis Report, Linkoping studies in science and technology No. 85, 1986.

</ref><ref name=bigun87>