Multigrid Optimization for Large-Scale Ptychographic Phase Retrieval
نویسندگان
چکیده
منابع مشابه
Efficient Algorithms for Ptychographic Phase Retrieval
Ptychography is an emerging non-crystalline diffractive imaging technique that can potentially reach diffraction limited resolution without the need for high resolution lenses. To achieve high resolution one must solve a phase-retrieval inverse problem using the diffraction patterns of many partially overlapping subimage frames. We examine the mathematical formulation of the ptychographic phase...
متن کاملIterative Algorithms for Ptychographic Phase Retrieval
Ptychography promises diffraction limited resolution without the need for high resolution lenses. To achieve high resolution one has to solve the phase problem for many partially overlapping frames. Here we review some of the existing methods for solving ptychographic phase retrieval problem from a numerical analysis point of view, and propose alternative methods based on numerical optimization...
متن کاملA Line Search Multigrid Method for Large-Scale Nonlinear Optimization
Abstract. We present a line search multigrid method for solving discretized versions of general unconstrained infinite dimensional optimization problems. At each iteration on each level, the algorithm computes either a “direct search” direction on the current level or a “recursive search” direction from coarser level models. Introducing a new condition that must be satisfied by a backtracking l...
متن کاملA Line Search Multigrid Method for Large-scale Convex Optimization
Abstract. We present a line search multigrid method based on Nash’s MG/OPT multilevel optimization approach for solving discretized versions of convex infinite dimensional optimization problems. Global convergence is proved under fairly minimal requirements on the minimization method used at all grid levels. In particular, our convergence proof does not require that these minimization, or so-ca...
متن کاملAlternating Direction Methods for Classical and Ptychographic Phase Retrieval
In this paper, we show how augmented Lagrangian alternating direction method (ADM) can be used to solve both the classical and ptychographic phase retrieval problems. We point out the connection between ADM and projection algorithms such as the hybrid input-output (HIO) algorithm, and compare its performance against standard algorithms for phase retrieval on a number of test images. Our computa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Imaging Sciences
سال: 2020
ISSN: 1936-4954
DOI: 10.1137/18m1223915