Structure tensor

In mathematics, the structure tensor, also referred to as the second-moment matrix, is a matrix derived from the gradient of a function. It describes the distribution of the gradient in a specified neighborhood around a point and makes the information invariant to the observing coordinates. The structure tensor is often used in image processing and computer vision.^[1]^[2]^[3]

^ 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.
^ J. Bigun & G. Granlund (1987). "Optimal Orientation Detection of Linear Symmetry". First int. Conf. on Computer Vision, ICCV, (London). Piscataway: IEEE Computer Society Press, Piscataway. pp. 433–438.
^ H. Knutsson (1989). "Representing local structure using tensors". Proceedings 6th Scandinavian Conf. on Image Analysis. Oulu: Oulu University. pp. 244–251.

[bigun86-1] 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.

[bigun87-2] J. Bigun & G. Granlund (1987). "Optimal Orientation Detection of Linear Symmetry". First int. Conf. on Computer Vision, ICCV, (London). Piscataway: IEEE Computer Society Press, Piscataway. pp. 433–438.

[knutsson89-3] H. Knutsson (1989). "Representing local structure using tensors". Proceedings 6th Scandinavian Conf. on Image Analysis. Oulu: Oulu University. pp. 244–251.

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