Revision as of 18:52, 3 June 2019 edit 132.183.56.7 (talk) →Complex version ← Previous edit		Revision as of 22:46, 22 June 2019 edit undo Rich Farmbrough (talk \| contribs) Edit filter managers, Autopatrolled, Extended confirmed users, File movers, IP block exemptions, Pending changes reviewers, Rollbackers, Template editors 1,733,978 edits m →Processing spatio-temporal video data with the structure tensor: more preferable -> preferable Next edit →
Line 276: If one in this context aims at image descriptors that are ''invariant'' under Galilean transformations, to make it possible to compare image measurements that have been obtained under variations of a priori unknown image velocities <math>v = (v_x, v_y)^\text{T}</math> :<math> \begin{bmatrix} x' \\ y' \\ t' \end{bmatrix} = G \begin{bmatrix} x \\ y \\ t \end{bmatrix} = \begin{bmatrix} x - v_x \, t \\ y - v_y \, t \\ t \end{bmatrix} </math>, it is, however, from a computational viewpoint ~~more~~ preferable to parameterize the components in the structure tensor/second-moment matrix <math>S</math> using the notion of ''Galilean diagonalization''<ref name=lin04icpr> {{cite conference\|author1=T. Lindeberg \|author2=A. Akbarzadeh \|author3=I. Laptev \|last-author-amp=yes \|title=Galilean-corrected spatio-temporal interest operators\|booktitle=International Conference on Pattern Recognition ICPR'04\|url=ftp://ftp.nada.kth.se/CVAP/reports/LinAkhLap04-ICPR.pdf\|doi=10.1109/ICPR.2004.1334004\|date=August 2004\|volume=I\| pages=57–62}} </ref>

Structure tensor: Difference between revisions