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I am trying to implement a paper called structured tensor based image interpolation. In the paper I came across a concept called tangent direction and normal direction. What they mean is tangent direction is along the edge and normal direction is across the edge. Can anyone help me to find out what the tangent and normal direction the author is talking. The paper link is below:- https://arxiv.org/pdf/1402.5564.pdf

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  • $\begingroup$ Can you please include a link or other reference to the paper? $\endgroup$ – A_A Jan 23 '18 at 16:50
  • $\begingroup$ I have edited my answer and added the required link $\endgroup$ – Abhishek Jan 24 '18 at 4:39
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This is illustrated for a step edge. If you look at gray-scale values, one often considers that a 1D edge is (relatively) irregular across the edge (from gray to black), and regular along the edge (parallel to the border, the luminance value does not vary).

2D and 3D view of an edge

You can perceive it better in the 3D view, where the amplitude along with the gray value is represented in 3D.

In more generic cases, at the appropriate scales, the structure tensor is supposed to capture this behavior.

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