Structure tensor: Difference between revisions

Revision as of 02:57, 31 March 2023

Revision as of 09:11, 25 July 2023

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Note that the average of the gradient <math>\nabla I</math> inside the window is '''not''' a good indicator of anisotropy. Aligned but oppositely oriented gradient vectors would cancel out in this average, whereas in the structure tensor they are properly added together.<ref>

{{cite techreporttech report|author1=T. Brox |author2= J. Weickert |author3=B. Burgeth |author4=P. Mrazek |name-list-style=amp |title=Nonlinear Structure Tensors|institution=Universität des Saarlandes|number=113|year=2004}}

</ref> This is a reason for why <math>(\nabla I)(\nabla I)^\text{T}</math> is used in the averaging of the structure tensor to optimize the direction instead of <math>\nabla I</math>.