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7 September 2006 Photometric signature inversion
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We explore the problem of reconstructing a 3-d model of a convex object from unresolved time-series photometric measurements (i.e., lightcurves). The problem is broken into three steps. First, the lightcurves are used to recover the albedo-area density of the object as a function of the surface normal. The ill-posedness of this inversion is considered and a suitable regularization scheme proposed. Second, the albedo and area contributions are separated using either transits or additional measurements at different wavelengths. Finally, the Minkowski problem is solved to produce the 3-dimensional shape corresponding to the area density.
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Brandoch Calef, John Africano, Brian Birge, Doyle Hall, and Paul Kervin "Photometric signature inversion", Proc. SPIE 6307, Unconventional Imaging II, 63070E (7 September 2006);

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