Generalized structure tensor: Difference between revisions

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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 [[L2 norm]] amounting to [[total least squares]] sense, where the translation is along the curvilinear coordinates (instead of Cartesian).

Among the curvilinear coordinates, locally orthogonal coordinates, are best studied.<ref name=bigun86>

<ref name=bigun86>

@inproceedings{bigun1988pattern,

title="Pattern recognition by detection of local symmetries",

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The Generalized structure tensor can be used as an alternative to [[Hough Transform]] in [[image processing]] and [[computer vision]]. The main differences comprise:

*Negative voting is allowed

*With one template multiple patterns belonging to the same family can be detected, because not nonly negative but also Complex Voting is allowed.

== See also ==

==See also==

*[[Hough Transform]]

*[[Tensor]]

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*[[Affine shape adaptation]]

== References ==

{{reflist}}

==References==

<references/>

== Resources ==

{{DEFAULTSORT:Generalized Structure Tensor}}

[[:Category:Tensors]]

[[:Category:Feature detection]]