Revision as of 08:02, 16 July 2021 edit 83.45.233.170 (talk) Adding an example of a “window function” commonly used. Tag: Visual edit ← Previous edit		Revision as of 08:04, 16 July 2021 edit undo 83.45.233.170 (talk) →Interpretation: Adding hats to the eigenvectors to express that they are unitary vectors. Next edit →
Line 170: ===Interpretation=== As in the three-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~~\hat{e}_1,~~e_2~~\hat{e}_2,~~e_3~~\hat{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.]]

Structure tensor: Difference between revisions