Image and Signal Processing

Slow Motion Using Optical Flow

Slowing down a video sequence is a common special effect in movie editing. With ImageDisplacements, you can use optical flow to interpolate in between existing frames.

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In[2]:=
Click for copyable input
ListAnimate[ Show[#, Graphics@Text[Style["original", Larger, Red], {30, 180}]] & /@ original, DefaultDuration -> 2]
Play Animation
Stop Animation

The slow-motion sequence is twice as long as the original. New, interpolated images are constructed by warping original frames according to the optical flow. Compute displacements.

In[3]:=
Click for copyable input
flows = Map[vecField \[Function] Transpose@Reverse[vecField], ImageDisplacements[original, MaxIterations -> 1]/2];

Find a background color for the interpolated images.

In[4]:=
Click for copyable input
bg = First@DominantColors[First@original, 1]
Out[4]=

Construct the interpolated frames and insert them into the final sequence.

In[5]:=
Click for copyable input
vecTrafo[xy_, motion_] := xy + Extract[motion, Ceiling[xy]];
In[6]:=
Click for copyable input
oflow = Table[ ImageForwardTransformation[original[[i]], vecTrafo[#, flows[[i]]] &, DataRange -> Full, Background -> bg], {i, Length@original - 1}]; slowmo = Riffle[original, oflow];

Animate the result together with a simple blending-based reference.

show complete Wolfram Language input
In[7]:=
Click for copyable input
compresults = MapThread[ ImageAssemble[{{Show[#1, Graphics@ Text[Style["optical flow", Larger, Red], {60, 180}]]}, {Show[#2, Graphics@ Text[Style["blended frames", Larger, Red], {60, 180}]]}}] &, {slowmo, Riffle[original, Blend /@ Partition[original, 2, 1]]}]; ListAnimate[compresults, DefaultDuration -> 4]
Play Animation
Stop Animation

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