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A Theory of Optimal Flutter Shutter for Probabilistic Velocity Models

Abstract : Flutter shutter (coded exposure) is a new paradigm for cameras that allows for an arbitrary increase of the exposure time when the relative camera/scene motion is uniform. The photon flux is interrupted according to a flutter shutter code. For arbitrarily severe uniform motion blur a well chosen code guarantees an invertible blur kernel. Yet, when the relative camera/scene velocity is a known constant, a flutter shutter cannot gain more than a 1.17 factor in terms of root mean-squared error compared to the optimal snapshot. In this paper, we prove that this optimality bound can be relaxed under the realistic assumption that a random model for the velocities is available. We give analytical formulae for the optimal flutter shutter code and the optimal snapshots associated with a random velocity distribution. Conversely we also prove formulae that reveal the velocity distribution underlying a given flutter shutter code.
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Submitted on : Friday, September 13, 2019 - 4:50:40 PM
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Yohann Tendero, Jean-Michel Morel. A Theory of Optimal Flutter Shutter for Probabilistic Velocity Models. SIAM Journal on Imaging Sciences, Society for Industrial and Applied Mathematics, 2016, 9 (1), pp.445-480. ⟨10.1137/15M1035872⟩. ⟨hal-02287306⟩



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