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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>
{{cite conference|
Title=
▲ author={Bigun, Josef},
booktitle={Proceedings of Pattern Recognition in Practice III}
year={1988}
}}</ref>
The Generalized structure tensor can be used as an alternative to [[Hough Transform]] in [[image processing]] and [[computer vision]]. The main differences comprise:
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