Path integration is a method used in various fields, including mathematics, physics, and robotics, to compute a position or a quantity by integrating over a path in a given space. In simple terms, it involves keeping track of an object's position as it moves through space, particularly when that movement is continuous and involves changing direction.
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Updating an internal position or heading estimate from self-motion signals, such as angular velocity and translation. In an ideal planar case, and . Integrating biased or noisy inputs accumulates errors, motivating correction by landmarks and other external cues.