Alternating Projection, Ptychographic Imaging and connection graph Laplacian
Update: 2014-02-27
Description
Co-authors: Yu-Chao Tu (Mathematics, Princeton University), Stefano Marchesini (Lawrence Berkeley Lab)
In this talk, we demonstrate the global convergence of the alternating projection (AP) algorithm to a unique solution up to a global phase factor in the ptychographic imaging. Additionally, we survey the intimate relationship between the AP algorithm and the notion of ``phase synchronization''. Based on this relationship, the recently developed technique connection graph Laplacian is applied to quickly construct an accurate initial guess, and accelerate convergence speed for large scale diffraction data problems. This is a joint work with Stefano Marchesini and Yu-Chao Tu.
In this talk, we demonstrate the global convergence of the alternating projection (AP) algorithm to a unique solution up to a global phase factor in the ptychographic imaging. Additionally, we survey the intimate relationship between the AP algorithm and the notion of ``phase synchronization''. Based on this relationship, the recently developed technique connection graph Laplacian is applied to quickly construct an accurate initial guess, and accelerate convergence speed for large scale diffraction data problems. This is a joint work with Stefano Marchesini and Yu-Chao Tu.
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