Scoreboard digit recognition using OpenCV
Given the highly regular nature of your input, you could define a set of 7 target areas of the image to check. Each area should encompass some significant portion of one of the 7 segments of each digital of the display, but not overlap.
You can then check each area and average the color / brightness of the pixels in to to generate a probability for a given binary state. If your probability is high on all areas you can then easily figure out what the digit is.
It's not as elegant as a pure ML type algorithm, but ML is far more suited to inputs which are not regular, and in this case that does not seem to apply - so you trade elegance for accuracy.
Might sound silly but have you tried simply checking for black bars vertically and then horizontally in the top and bottom halfs - left and right of the centerline ?
If you are trying text recognition with Tesseract, try passing not one digit, but a number of duplicated digits, sometimes it could produce better results, here's the example. However, if you're planning a business software, you may want to have a look at a commercial OCR SDK. For example, try ABBYY FineReader Engine. It's not affordable for free to use applications, but when it comes to business, it can a good value to your product. As far as i know, ABBYY provides the best OCR quality, for example check out http://www.splitbrain.org/blog/2010-06/15-linux_ocr_software_comparison
The classical digit recognition, which should work well in this case is to crop the image just around the digit and resize it to 4x4 pixels.
A Discrete Cosine Transform (DCT) can be used to further slim down the search space. You could select the first 4-6 values.
With those values, train a classifier. SVM is a good one, readily available in OpenCV.
It is not as simple as emma's or martin suggestions, but it's more elegant and, I think, more robust.
Given the width/height ratio of your input, you may choose a different resolution, like 3x4. Choose the smallest one that retains readable digits.