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Let the term image represent a function $f(\xi(x,y),\eta(x,y))$ where $\xi,\eta,x,y $, and $f$, are real valued.
Generalized Structure Tensor, GST, is an extension of the Cartesian Structure Tensor to the Curvilinear coordinates, $\xi,\eta$. It represents the direction along which the image $f$ can undergo an infinitesimal translation with minimal error, along the "lines" fulfilling the following conditionsCite error: A <ref> tag is missing the closing </ref> (see the help page).
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.