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- Krzysztof Patorski, Maciej Trusiak, Tomasz S. Tkaczyk
- Optics express
- 2014

We introduce a fast, simple, adaptive and experimentally robust method for reconstructing background-rejected optically-sectioned images using two-shot structured illumination microscopy. Our innovative data demodulation method needs two grid-illumination images mutually phase shifted by π (half a grid period) but precise phase displacement between two… (More)

- Krzysztof Patorski, Shunsuke Yokozeki, Takenobu Suzuki
- Applied optics
- 1976

The double grating shearing interferometry method for determination of the degree of light collimation is described. High accuracy is obtained by performing the observation of fringes in the area of the size twice as big as the one usually assumed in shearing interferometry experiments. The conditions under which such a detection mode is feasible are… (More)

- Krzysztof Patorski
- Applied optics
- 1985

- Krzysztof Patorski
- Applied optics
- 1988

The methods of generating the cross derivatives of in-plane displacements by lateral shear interferometry and their subsequent addition are presented. Two approaches are introduced: (1) spatial filtering of composed diffraction structures and (2) moire superimposition of conjugate-type lateral shear interferograms. Experimental corroboration of the… (More)

- Krzysztof Patorski, D. A. Post, R Czarnek, Yanen Guo
- Applied optics
- 1987

Real-time methods for differentiation of in-plane displacement fields produced by the moire interferometry technique are introduced. Two approaches are developed: (1) optical shearing of displacement patterns and (2) superposition of two lateral shear interferograms of wavefronts from 2 diffraction orders of the specimen grating. Coherence problems are… (More)

- Krzysztof Patorski
- Applied optics
- 1986

- Krzysztof Patorski, Krzysztof Pokorski
- Applied optics
- 2011

A single frame fork fringe pattern automatic processing method for detecting optical vortices in coherent light fields using two-dimensional continuous wavelet transformation is proposed. When a vortex sign is of no importance, it is sufficient to calculate the fork interferogram modulation distribution and its normalized gradient map to establish vortex… (More)

- Krzysztof Patorski
- Applied optics
- 1986

- Maciej Wielgus, Krzysztof Patorski
- Applied optics
- 2011

We propose an application for a bidimensional empirical mode decomposition and a Hilbert transform algorithm (BEMD-HT) in processing amplitude modulated fringe patterns. In numerical studies we investigate the influence of parameters of the algorithm and a fringe pattern under study on the demodulation results to optimize the procedure. A spiral phase… (More)

- Maciek Wielgus, Krzysztof Patorski, Pablo Etchepareborda, Alejandro Federico
- Optics express
- 2014

We introduce the algorithm for the direct phase estimation from the single noisy interferometric pattern. The method, named implicit smoothing spline (ISS), can be regarded as a formal generalization of the smoothing spline interpolation for the case when the interpolated data is given implicitly. We derive the necessary equations, discuss the properties of… (More)