An annealing algorithm to correct positioning errors in ptychography

Coherent X-ray diffractive imaging on the single-cell-level of microbial samples

“…On the algorithmic side, the results can be improved by e.g. correcting for positional errors [20,110,182,307] but on the experimental side this problem is currently mainly approached by increasing the uence, e.g. [111,133,266,286,287,332].…”

“…Moreover, the ptychographic method has also been used for elemental speciation [21,135,285] and for sequential imaging of chemical reactions [142]. More recent ptychographic studies investigate the maximum derivable information from ptychographic data under non-simple experimental conditions for the illuminating wave-eld or the object such as position uncertainties [20,110,182], partial coherence and multiple wavelenghts [15,44,78,299], multiple object planes [181,284] and undersampling of the recorded di racted intensities [71]. In the rst place, however, the probably most important result has been the understanding that the ptychographic method not only is able to solve for the encoded object information but also for the illuminating wave-eld [183,294,296] making ptychography a valuable tool for analysing the wave-elds of X-rays [134,144,159,160,265,268].…”

“…Di erent algorithms and strategies have been combined to allow for positional re nement. Algorithms working on the level of single scan points [20,182,307] have not been considered due to the large overhead in compu-…”

Ptychographic microscopy via wavelength scanning

“…Because of the existence of backlash error or the hysteresis of the translation stage, the positions of the sample cannot be exactly known during the data acquisition process, which makes the resolution of the final reconstruction much lower than that determined by the numerical aperture of the imaging system. Though the annealing method 19 and cross correlation searching method 20 are proposed to correct the scanning positions, they can only work well when the positioning error is small. Another innovation about PIE is that the scanning process can be achieved in frequency domain.…”

High-flux ptychographic imaging using the new 55 µm-pixel detector `Lambda' based on the Medipix3 readout chip

“…On the algorithmic side, the results can be improved by e.g. correcting for positional errors (GuizarSicairos & Fienup, 2008;Maiden et al, 2012;Beckers et al, 2013;Tripathi et al, 2014) but on the experimental side this problem is currently mainly approached by increasing the fluence (e.g. Takahashi et al, 2011Takahashi et al, , 2013Guizar-Sicairos et al, 2012;Holler et al, 2012;Schropp et al, 2012;Wilke et al, 2013).…”