Wolfram Language

Image and Signal Processing

Dynamics of Mitosis

ImageDisplacements provides a dense motion field based on optical flow. The optical flow enables you to track the motion of cell constituents during mitosis.

Import an image sequence showing a zebrafish embryo undergoing mitosis.

In[1]:=
Click for copyable input
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In[2]:=
Click for copyable input
ListAnimate[seq]
Play Animation
Stop Animation

Remove image features that are too small to track by blurring each frame.

In[3]:=
Click for copyable input
seq2 = Map[frame \[Function] Blur[frame, 4], seq];

Determine the optical flow and regularize the result with a spatial Gaussian filter.

In[4]:=
Click for copyable input
flow = Map[ field \[Function] GaussianFilter[field, {{6, 6}, {3, 3}}, Padding -> {0, 0}], ImageDisplacements[seq2] ];

Display the optical flow as a vector field superimposed on the original video sequence.

show complete Wolfram Language input
In[5]:=
Click for copyable input
scales = Normalize[Map[Max, Map[Norm, flow, {3}]], Max]; anim = MapThread[ {frame, field, scale} \[Function] ListVectorPlot[ Transpose@Reverse[field], Prolog -> Inset[frame, {0, 0}, {0, 0}, {300, 300}], VectorStyle -> Yellow, VectorPoints -> 30, VectorScale -> Sqrt[2] scale/30, PlotRange -> {{0, 300}, {0, 300}}, PlotRangePadding -> 0, ImageSize -> 300, Frame -> False, Axes -> False ], {Most@seq, flow, scales} ]; ListAnimate[anim]
Play Animation
Stop Animation

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