AFNI Message Board

Dear AFNI users-

We are very pleased to announce that the new AFNI Message Board framework is up! Please join us at:

https://discuss.afni.nimh.nih.gov

Existing user accounts have been migrated, so returning users can login by requesting a password reset. New users can create accounts, as well, through a standard account creation process. Please note that these setup emails might initially go to spam folders (esp. for NIH users!), so please check those locations in the beginning.

The current Message Board discussion threads have been migrated to the new framework. The current Message Board will remain visible, but read-only, for a little while.

Sincerely, AFNI HQ

History of AFNI updates  

|
August 30, 2014 05:57AM
I assume you want imgA to go to imgC's space.

In cat_matvec, you will then use: reg2.aff12.1D reg1.aff12.1D
It may seem backwards, but the order comes from how algebraic operations are applied.

The following aren't formal notations, but hopefully they make sense:
You have spaces A, B and C, and have made maps between pairs: map_AtoB and map_BtoC.
The maps are linear, and we denote 'applying a map' by multiplication 'x' from the left.
First, you want to map A -> B: AinB = map_AtoB x A .
Now you map the result -> C: AinC = map_BtoC x AinB .
Substituting the first expression into the second, we see that:
AinC = map_BtoC x ( map_AtoB x A ).
These are linear operations, so we can rearrange parentheses as we wish (associative property).
AinC = (map_BtoC x map_AtoB) x A .
... and that last map combination in parentheses is what you are making using cat_matvec:
map_AtoC = map_BtoC x map_AtoB
Note the order.

Essentially, because the maps are applied by starting with the one next to the variable and moving to the left, the ordering might look opposite to how it would be read as a Western sentence (starting from the left and moving right).

--pt
Subject Author Posted

Q: cat_matvec

chouyiyu August 29, 2014 05:08PM

Re: Q: cat_matvec

ptaylor August 30, 2014 05:57AM

Re: Q: cat_matvec

chouyiyu September 02, 2014 12:01PM