Abstract
In an earlier paper, “Misperception of time-to-collision by drivers in pedestrian accidents”, it was proposed that time-to-collision is derived from the angular speed and angular acceleration of an approaching object, with the use of the algorithm 2θ̇/θ̈, rather than from θ/θ̇. This response to the critical paper by Tresilian is intended to support that conclusion, which was based on four main arguments:
the focus of expansion could not provide a reliable datum for judging θ; the need to judge θ is removed by using 2θ̇/θ̈ instead of θ/θ̇; 2θ̇/θ̈ should provide time-to-collision more rapidly and accurately than θ/θ̇; 2θ̇/θ̈ overcomes the inadequacy of θ/θ̇ with accelerating objects.
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