Detect Rotating Objects
ImageDisplacements can capture dynamic features in video sequences. From one video frame to the next, ImageDisplacements provides a vector field that describes the optical flow that is essentially the 2D motion field of objects in the video.
Vector field analysis provides a variety of tools to analyze these motion fields. This example focuses on the curl to detect rotating objects.
A video sequence of rotating wind turbines.
seq = {\!\(\*
GraphicsBox[
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"], {{0, 256}, {256, 0}}, {0, 255},
ColorFunction->RGBColor],
BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True],
Selectable->False],
DefaultBaseStyle->"ImageGraphics",
ImageSizeRaw->{256, 256},
PlotRange->{{0, 256}, {0, 256}}]\), ...};
ListAnimate[seq]
Obtain the average optical flow of the entire video sequence.
flow = Mean@ImageDisplacements[Append[seq, First[seq]]];
Show[
First[seq],
ListVectorPlot[Transpose@Reverse@flow, VectorStyle -> Yellow,
VectorPoints -> Fine]
]
The curl of a vector field determines the amount of inherent rotation.
listCurl =
flow \[Function]
ListConvolve[{{0.5`, 0, -0.5`}},
flow[[All, All, 2]], {{1, 2}, {1, 2}}, "Fixed"] -
ListConvolve[{{-0.5`}, {0.`}, {0.5`}},
flow[[All, All, 1]], {{1, 2}, {1, 2}}, "Fixed"];
curl = ImageAdjust@Image@(listCurl@flow)
A blurred curl distribution provides a more robust result for large-scale rotations. Black stands for negative rotation; white denotes rotation with positive orientation.
blurredCurl = ImageAdjust[GaussianFilter[curl, 8 {3, 1}]]
Colorize the rotation map and superimpose it on top of the original image.
ImageCompose[seq[[1]],
SetAlphaChannel[
Colorize[blurredCurl,
ColorFunction -> ColorData[{"TemperatureMap", "Reverse"}]],
ColorNegate[blurredCurl]]]