A new article is available in IPOL: http://www.ipol.im/pub/art/2015/108/
Yohann Tendero,
The Flutter Shutter Code Calculator,
Image Processing On Line, 5 (2015), pp. 234–256.
http://dx.doi.org/10.5201/ipol.2015.108
Abstract
The goal of the flutter shutter is to make uniform motion blur
invertible, by a "fluttering" shutter that opens and closes on a
sequence of well chosen sub-intervals of the exposure time interval. In
other words, the photon flux is modulated according to a well chosen
sequence called flutter shutter code. This article provides a numerical
method that computes optimal flutter shutter codes in terms of mean
square error (MSE). We assume that the observed objects follow a known
(or learned) random velocity distribution. In this paper, Gaussian and
uniform velocity distributions are considered. Snapshots are also
optimized taking the velocity distribution into account. For each
velocity distribution, the gain of the optimal flutter shutter code with
respect to the optimal snapshot in terms of MSE is computed. This
symmetric optimization of the flutter shutter and of the snapshot allows
to compare on an equal footing both solutions, i.e. camera designs.
Optimal flutter shutter codes are demonstrated to improve substantially
the MSE compared to classic (patented or not) codes. A numerical method
that permits to perform a reverse engineering of any existing (patented
or not) flutter shutter codes is also described and an implementation is
given. In this case we give the underlying velocity distribution from
which a given optimal flutter shutter code comes from. The combination
of these two numerical methods furnishes a comprehensive study of the
optimization of a flutter shutter that includes a forward and a backward
numerical solution.
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announces [email protected] - http://tools.ipol.im/mm/announce/
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