warpArea
From dtw v1.181
by Toni Giorgino
Compute Warping Path Area
Compute the area between the warping function and the diagonal (nowarping) path, in unit steps.
 Keywords
 ts
Usage
warpArea(d)
Arguments
 d
 an object of class
dtw
Details
Above and below diagonal unit areas all count plus one (they
do not cancel with each other). The "diagonal" goes from one corner to
the other of the possibly rectangular cost matrix, therefore having a
slope of M/N
, not 1, as in slantedBandWindow
.
The computation is approximate: points having multiple correspondences are averaged, and points without a match are interpolated. Therefore, the area can be fractionary.
Value

The area, not normalized by path length or else.
Note
There could be alternative definitions to the area, including considering the envelope of the path.
Examples
ds<dtw(1:4,1:8);
plot(ds);lines(seq(1,8,len=4),col="red");
warpArea(ds)
## Result: 6
## index 2 is 2 while diag is 3.3 (+1.3)
## 3 3 5.7 (+2.7)
## 4 4:8 (avg to 6) 8 (+2 )
## 
## 6
Community examples
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