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The nonlinear intensity response of a digital fringe projection profilometry (FPP) system causes the captured fringe patterns to be nonsinusoidal waveforms and leads to an additional phase measurement error for commonly used three- and four-step phase-shifting algorithms. We perform theoretical analysis of the phase error owing to the nonsinusoidal waveforms. Based on the derived theoretical model, a novel and simple iterative phase compensation algorithm is proposed to compensate the nonsinusoidal phase error. Experiments show that the proposed algorithm can be used for effective phase error compensation in practical phase-shifting FPP.

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As key components of the erythrocyte membrane skeleton, spectrin and ankyrin specifically interact to tether the spectrin cytoskeleton to the cell membrane. The structure of the spectrin binding domain of ankyrin and the ankyrin binding domain of spectrin have been solved to elucidate the structural basis for ankyrinspectrin recognition. The structure of repeats 14 and 15 of spectrin shows that these repeats are similar to all other spectrin repeats. One feature that could account for the preference of ankyrin for these repeats is the presence of a conserved, negatively charged patch on one side of repeat 14. The structure of the ankyrin ZU5 domain shows a novel structure containing a ␤ core. The structure reveals that the canonical ZU5 consensus sequence is likely to be missing an important region that codes for a ␤ strand that forms part of the core of the domain. In addition, a positively charged region is suggestive of a binding surface for the negatively charged spectrin repeat 14. Previously reported mutants of ankyrin that map to this region lie mostly on the surface of the protein, although at least one is likely to be part of the core. (Blood. 2009;113:5385-5393)

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Quality-guided phase unwrapping is a widely used technique with different quality definitions and guiding strategies reported. It is thus necessary to do a detailed comparison of these approaches to choose the optimal quality map and guiding strategy. For quality maps, in the presence of noise, transform-based methods are found to be the best choice. However in the presence of discontinuities, phase unwrapping is itself unresolved and hence quality-guided phase unwrapping is not sufficient. For guiding strategies, classical, two-section, and stack-chain guiding strategies are chosen for comparison. If accuracy is the foremost criterion then the classical guiding strategy with a data structure of indexed interwoven linked list is best. If speed is of essence then the stack-chain guiding strategy is the one to use.

spin-transfer torques offer great promise for the development of spin-based devices. The effects of spin-transfer torques are typically analysed in terms of adiabatic and non-adiabatic contributions. Currently, a comprehensive interpretation of the non-adiabatic term remains elusive, with suggestions that it may arise from universal effects related to dissipation processes in spin dynamics, while other studies indicate a strong influence from the symmetry of magnetization gradients. Here we show that enhanced magnetic imaging under dynamic excitation can be used to differentiate between non-adiabatic spin-torque and extraneous influences. We combine Lorentz microscopy with gigahertz excitations to map the orbit of a magnetic vortex core with < 5 nm resolution. Imaging of the gyrotropic motion reveals subtle changes in the ellipticity, amplitude and tilt of the orbit as the vortex is driven through resonance, providing a robust method to determine the non-adiabatic spin torque parameter β = 0.15 ± 0.02 with unprecedented precision, independent of external effects.