Jump to content

Generalized structure tensor

From Wikipedia, the free encyclopedia
This is an old revision of this page, as edited by Seliseli88 (talk | contribs) at 16:53, 7 January 2014 (Created page with '{{User sandbox}} <!-- EDIT BELOW THIS LINE --> {{FeatureDetectionCompVisNavbox}} Generalized Structure Tensor is an extension of the Cartesian Structure Tenso...'). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)

This sandbox is in the article namespace. Either move this page into your userspace, or remove the {{User sandbox}} template.

Generalized Structure Tensor is an extension of the Cartesian Structure Tensor to Curvilinear Coordinates. It finds the direction along which an image can undergo a translation with minimal error, measured in L^2 norm (or in total least squares sense), wherein the translation is along the curvilinear coordinates (instead of Cartesian). Among the curvilinear coordinates, locally orthogonal coordinates, are best studied. [1][2][3]

 The structure tensor is often used in image processing and computer vision.
  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.
  2. ^ J. Bigun and 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. {{cite conference}}: Check date values in: |year= (help); Unknown parameter |booktitle= ignored (|book-title= suggested) (help)CS1 maint: year (link)
  3. ^ H. Knutsson (1989). "Representing local structure using tensors". Proceedings 6th Scandinavian Conf. on Image Analysis. Oulu: Oulu University. pp. 244–251. {{cite conference}}: Unknown parameter |booktitle= ignored (|book-title= suggested) (help); line feed character in |booktitle= at position 35 (help)