Hi all, this is my first forum post on this community.
For my high-school essay relating to mathematics, I am looking at a specific problem relating to affine transformations and geometry. Using the affine2d and imwarp method, I was able to transform a coloured image according to a customised 3 by 3 matrix. The matrix I used was:
1 3 0
3 -4 0
1 1 1
I want to find out the combinations of shearing, scaling and rotation that eventually led to my linear mapping. Specifically, I want to find out what combination of the matrices listed below:
Resulted in my linear mapping matrix of:
which was used to transform my image.
I did some research and found out it should be possible, as all invertible matrices can be factorised to elementary matrices.I also found out what I wanted may have something to do with PLU(permuted lower upper decomposition), but am clueless to how to implement it.
Apologies if anything I wrote is incorrect or inaccurate. Any help would be greatly appreciated.