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are summed <ref>{{cite journal|author=T. Brox, J. Weickert, B. Burgeth and P. Mrazek|title=Nonlinear Structure Tensors|booktitle=Universitat des Saarlandes, Tech. Report|issue=113|pages=1–32|year=2004}}</ref>.
For scale-space properties of the structure tensor (or second-moment matrix) when using a Gaussian window function for integration, please refer to <ref>[http://www.nada.kth.se/~tony/book.html T. Lindeberg: Scale-Space Theory in Computer Vision, Kluwer Academic Publishers, Dordrecht, Netherlands, 1994.]</ref><ref>[http://www.nada.kth.se/cvap/abstracts/cvap117.html J. Garding and T. Lindeberg: "Direct computation of shape cues using scale-adapted spatial derivative operators'', International Journal of Computer Vision, vol 17(2), pp. 163--191, 1996.]</ref>. For the application of the structure tensor to non-linear fingerprint enhancement, please see <ref>[http://www.nada.kth.se/cvap/abstracts/cvap226.html A. Almansa and T. Lindeberg, ``Enhancement of fingerprint images using shape-adaptated scale-space operators'', IEEE Transactions on Image Processing, volume 9, number 12, pp 2027-2042, 2000]</ref>.
===3D structure tensors===
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