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Old post with a lot of readers on an important topic
The problem should be broken up. The "simple" solution is to count moving objects and correct for moving directions: Multiple Object Tracking (OpenCV + C++)
To isolate people from counting dogs, cars etc. the solution can be improved by detecting just people. This kind of detection is often part of what is called "object detecion": A well known framework for this is YOLO - YOLO (Python+OpenCV+PyTorch)