This function implements the Generalized Difference Technique [1]. Use as
input data a 3D matrix created grouping NTIMES intensity matrices I(k)
1<=k<=NTIMES
I(k)=DATA(:,:,k)
$GD=\sum\limits_{k=1}^{NTIMES-1} \sum\limits_{l=1}^{NTIMES-k} |I(k)-I(k+l)|$
The function is normalized with the number of elements in the sum.
$Y=\frac{GD}{\binom{NTIMES}{2}}$
Where $\binom{NTIMES}{2}$ is the binomial coefficient of NTIMES and
2. It is the number of combinations of NTIMES items taken 2 at a time.
Thus Y matrix represents the expected value of absolute difference
$|I(k1)-I(k2)|$ for any two different k1 and k2 values.
$Y\approx E[|I(k1)-I(k2)|]$
Reference:
[1] ARIZAGA, R. et al. Display of the local activity using dynamical speckle
patterns. Optical Engineering, Redondo Beach, v. 41, n. 2, p. 287-294,
June 2002.
After starting the main routine just type the following command at the
prompt:
Y = gendiff(DATA);
Input:
DATA is the speckle data pack. Where DATA is a 3D matrix created grouping NTIMES
intensity matrices with NLIN lines and NCOL columns. When N=size(DATA), then
N(1,1) represents NLIN and
N(1,2) represents NCOL and
N(1,3) represents NTIMES.
SHOW [Optional] If SHOW is equal to string 'off', then do not plot the result.
Output:
Y returns the Generalized Difference matrix.
For help, bug reports and feature suggestions, please visit:
http://nongnu.org/bsltl
Package: bsltl