In 1912 ... the idea of describing the movement of a nude coming downstairs while still retaining static visual means to do this, particularly interested me. The fact that I had seen chronophotographs of fencers in action and horse galloping (what we today call stroboscopic photography) gave me the idea for the Nude. It doesn't mean that I copied these photographs. The Futurists were also interested in somewhat the same idea, though I was never a Futurist. And of course the motion picture with its cinematic techniques was developing then too. The whole idea of movement, of speed, was in the air.
Duchamp later recalled of the relation between motion and his nude:
My aim was a static representation of movement, a static composition of indications of various positions taken by a form in movement—with no attempt to give cinema effects through painting. The reduction of a head in movement to a bare line seemed to me defensible.
And with regard to the petition by the hanging committee of the Indépendants:
I said nothing to my brothers. But I went immediately to the show and took my painting home in a taxi. It was really a turning point in my life, I can assure you. I saw that I would not be very much interested in groups after that.