Understanding the photo finish

Photo finish images are becoming more common. And since they not are what they might seem to be, so some explanations might be useful. The following is therefore a description of how a photo finish is created and interpreted. It is hopefully useful both if you want to time an event yourself, or if you just are an interested spectator how want to understand the photo finishes that are published.

The first and most important thing to realize is that a photo finish image not is a “frozen moment in time” like a conventional photo, but rather something in between a photo and a video. The camera in a photo finish equipment continuously takes very narrow (often only 1 pixel wide) images of the finish line. These image slices are then placed beside each other and blended to create the photo finish. Below you can see three conventional photos taken at a 0.1s interval and how they relate to the composited photo finish (for clarity the slice width is much exaggerated).

photofin

An interesting effect of this procedure is that the width of an object is determined by how long time it spends on the finish line. The capture frame rate, the slice width and/or the slice overlap are therefore adjusted so the runner (horse, boat, bike etc) looks acceptable. But that also means that things that move faster or slower, like hands and feet, will look stretched or squeezed. It also means that two similar objects, one close to the camera and one further away, that moves with the same speed will have the same width on the image. But the one further away looks smaller in the camera so its height will be smaller, and it will therefore look a bit stretched compared to the closer one.

A common question from people who see a photo finish for the first time is “where is the finish line”? With the above in mind the answer is “there is no specific finish line since the whole image is the finish line”. This is often illustrated by the color: The track is usually red or blue, except on the finish line where it is white. But since the photo finish only shows the finish line, the whole track seems to be white (see the image from Rio below).

Time
In the example above the camera had a vertical resolution of 720 pixels and the slices were 25 px wide and captured at 60 fps. This means that 1 pixel horizontally represents 1/25*60 = 0.667 ms in time. This allow us (or rather the computer) to measure distances on the image and convert it to time lines that give the time for each runner. Note that the wide slices and low frame rate only is used to make it easier to visualize. In practice the slices are smaller and the frame rate higher (SprintTimer 240 fps, high en systems >1000 fps).

timelines

Where the line should be placed differs according to the rules in each sport.

Sport Line at
Running/track Torso
Horse and dog racing Nose tip
Rowing and kayaking Boat bow
Cycling Front wheel

Running humans is the most problematic case since the foremost part of the torso can be difficult to define, especially when one shoulder/arm is pushed forward. But the IAAF rules states: ”The endpoint of the torso is the outer end / articulation of the collarbone (clavicle).” How this is interpreted in an extreme case can be seen in the photo finish from the Ladies 400m at the Rio olympics.

rio400m

The lack of normal perspective in the image can sometimes make it difficult to identify the runners and determine in which lane they are running. Hip numbers can help in this case and on a sunny day the shadows can be used (see the first examples).

Despite these challenges is a photo finish the most accurate and versatile technique available for timing events where multiple racers share the same finish line.

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