Structure tensor: Difference between revisions

Revision as of 17:27, 6 March 2018

Revision as of 09:25, 11 June 2018

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===Interpretation===

As in the twothree-dimensional case, the eigenvalues <math>\lambda_1,\lambda_2,\lambda_3</math> of <math>S_w[p]</math>, and the corresponding eigenvectors <math>e_1,e_2,e_3</math>, summarize the distribution of gradient directions within the neighborhood of ''p'' defined by the window <math>w</math>. This information can be visualized as an [[ellipsoid]] whose semi-axes are equal to the eigenvalues and directed along their corresponding eigenvectors.<ref name="Medioni"/>

[[File:STgeneric.png|thumb|center|240px|Ellipsoidal representation of the 3D structure tensor.]]