1e Filter: A Simple Speed-based Low-pass Filter for Noisy Input in Interactive Systems

The 1e filter (“one Euro filter”) is a simple algorithm to filter noisy signals for high precision and responsiveness. It uses a first order low-pass filter with an adaptive cutoff frequency: at low speeds, a low cutoff stabilizes the signal by reducing jitter, but as speed increases, the cutoff is increased to reduce lag. The algorithm is easy to implement, uses very few resources, and with two easily understood parameters, it is easy to tune. In a comparison with other filters, the 1e filter has less lag using a reference amount of jitter reduction. ACM Classification