# Query regarding implementation of itkGeometricJacobianDeterminantImageFilter.hxx
**URL:** https://discourse.itk.org/t/query-regarding-implementation-of-itkgeometricjacobiandeterminantimagefilter-hxx/748
**Category:** Algorithms
**Created:** [March 8, 2018, 2:00pm UTC](https://discourse.itk.org/t/query-regarding-implementation-of-itkgeometricjacobiandeterminantimagefilter-hxx/748 "2018-03-08T14:00:53Z")
**Posts on this page:** 3
**Page:** 1
### Author:  [@Mageshwar](https://discourse.itk.org/u/Mageshwar)
#### Post date: [March 8, 2018, 2:00pm UTC](https://discourse.itk.org/t/query-regarding-implementation-of-itkgeometricjacobiandeterminantimagefilter-hxx/748/1 "2018-03-08T14:00:53Z")
I want to have a deeper insight into the implementation of jacobian determinant in itkGeometricJacobianDeterminantImageFilter.hxx, but I’m unable to find some theory which explains on what basis this code is implemented. It would be nice if someone could refer some books or literature on jacobian implementation, especially the method used here, the connection between triangular area and tetrahedral volume computation and jacobian determinant. It would be of a great help to me, if someone can direct me towards it.
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### Author:  [@matt.mccormick](https://discourse.itk.org/u/matt.mccormick)
#### Post date: [March 13, 2018, 3:58pm UTC](https://discourse.itk.org/t/query-regarding-implementation-of-itkgeometricjacobiandeterminantimagefilter-hxx/748/2 "2018-03-13T15:58:56Z")
Hi @Mageshwar,
You may be interested in this related Insight Journal Article:
[N-Dimensional Computation of Strain Tensor Images in the Insight Toolkit](http://hdl.handle.net/10380/3573)
HTH,
Matt
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### Author:  [@Mageshwar](https://discourse.itk.org/u/Mageshwar)
#### Post date: [March 14, 2018, 1:49pm UTC](https://discourse.itk.org/t/query-regarding-implementation-of-itkgeometricjacobiandeterminantimagefilter-hxx/748/3 "2018-03-14T13:49:50Z")
Thank you Matt