There isn't a clear cut definition out there, but my understanding of "high-level" algorithms are more in tune with how we classify objects in real life. For low-level feature detection algorithms, these are mostly concerned with finding corresponding points between images, or finding those things that classify as something even remotely interesting at the lowest possible level you can think of - things like finding edges or lines in an image (in addition to finding interesting points of course). In addition, anything dealing with pixel intensities or colours directly is what I would consider low-level too.
High-level algorithms are mostly in the machine learning domain. These algorithms are concerned with the interpretation or classification of a scene as a whole. Things like body pose classification, face detection, classification of human actions, object detection and recognition and so on. These algorithms are concerned with training a system to recognize or classify something, then you provide it some unknown input that it has never seen before and its job is to either determine what is happening in the scene, or locate a region of interest where it detects an action that the system is trained to look for. This latter fact is probably what the Wikipedia article is referring to. You would have some sort of pre-processing stage where you have some high-level system that determines salient areas in the scene where something important is happening. You would then apply low-level feature detection algorithms in this localized area.
There is a great high-level computer vision workshop that talks about all of this, and you can find the slides and code examples here: https://www.mpi-inf.mpg.de/departments/computer-vision-and-machine-learning/teaching/courses/ss-2019-high-level-computer-vision/
Good luck!