Editing Hessian matrix (section)

=== Other applications ===

The Hessian matrix is commonly used for expressing image processing operators in [[image processing]] and [[computer vision]] (see the [[Laplacian of Gaussian]] (LoG) blob detector, [[Blob detection#The determinant of the Hessian|the determinant of Hessian (DoH) blob detector]] and [[scale space]]). It can be used in [[normal mode]] analysis to calculate the different molecular frequencies in [[infrared spectroscopy]].<ref>{{Cite journal|last1=Mott|first1=Adam J.|last2=Rez|first2=Peter|date=December 24, 2014|title=Calculation of the infrared spectra of proteins|url=http://link.springer.com/10.1007/s00249-014-1005-6|journal=European Biophysics Journal|language=en|volume=44|issue=3|pages=103–112|doi=10.1007/s00249-014-1005-6|pmid=25538002 |s2cid=2945423 |issn=0175-7571}}</ref> It can also be used in local sensitivity and statistical diagnostics.<ref>{{cite journal|last1=Liu|first1=Shuangzhe |last2=Leiva|first2=Victor|last3=Zhuang|first3=Dan|last4=Ma|first4=Tiefeng
|last5=Figueroa-Zúñiga|first5=Jorge I.|date=March 2022|title=Matrix differential calculus with applications in the multivariate linear model and its diagnostics|journal=Journal of Multivariate Analysis |volume=188|pages=104849|doi=10.1016/j.jmva.2021.104849|doi-access=free}}</ref>