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ffmpeg - How do I render a video from a list of time-stamped images?

I have a directory full of images following the pattern <timestamp>.png, where <timestamp> represents milliseconds elapsed since the first image. input.txt contains a list of the interesting images:

file '0.png'
file '97.png'
file '178.png'
file '242.png'
file '296.png'
file '363.png'
...

I am using ffmpeg to concatenate these images into a video:

ffmpeg -r 15 -f concat -i input.txt output.webm

How do I tell ffmpeg to place each frame at its actual position in time instead of using a constant framerate?

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Following LordNeckbeard's suggestion to supply the duration directive to ffmpeg's concat demuxer using the time duration syntax, input.txt looks like this:

file '0.png'
duration 0.097
file '97.png'
duration 0.081
file '178.png'
duration 0.064
file '242.png'
duration 0.054
file '296.png'
duration 0.067
file '363.png'

Now ffmpeg handles the variable framerate.

ffmpeg -f concat -i input.txt output.webm

Here is the C# snippet that constructs input.txt:

Frame previousFrame = null;

foreach (Frame frame in frames)
{
    if (previousFrame != null)
    {
        TimeSpan diff = frame.ElapsedPosition - previousFrame.ElapsedPosition;
        writer.WriteLine("duration {0}", diff.TotalSeconds);
    }

    writer.WriteLine("file '{0}'", frame.FullName);
    previousFrame = frame;
}

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