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GST represents the direction along which the image <math>f</math> can undergo an infinitesimal translation with minimal (total least squares) error, along the "lines" fulfilling the following conditions:
1. The "lines" are ordinary lines in the curvilinear coordinate basis <math>\xi,\eta</
<math> \begin{align}\cos(\theta) \xi(x,y)+\sin(\theta) \eta(x,y)= Constant \end{align}</math>
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