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

Géry Casiez (1, 2) , Nicolas Roussel (1) , Daniel Vogel (3)

1 MINT2 - Méthodes et outils pour l'Interaction à gestes
2 LIFL - Laboratoire d'Informatique Fondamentale de Lille
3 David R. Cheriton School of Computer Science

The 1€ 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 1€ filter has less lag using a reference amount of jitter reduction.

Mots clés: Signal; noise; jitter; precision; lag; responsiveness; filtering

Domaines: Interface homme-machine [cs.HC]; Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]; Bibliothèque électronique [cs.DL]

Géry Casiez, Nicolas Roussel, Daniel Vogel. 1€ Filter: A Simple Speed-based Low-pass Filter for Noisy Input in Interactive Systems. CHI'12, the 30th Conference on Human Factors in Computing Systems, May 2012, Austin, United States. pp.2527-2530, ⟨10.1145/2207676.2208639⟩. ⟨hal-00670496⟩