Introduction Echo-planar imaging (EPI) is a group of fast data acquisition methods commonly used in fMRI studies. It acquires multiple image lines in k-space after a single excitation, which leads to a very short scan time. A well-known problem with EPI is that it is more sensitive to distortions due to the used encoding scheme. Source of distortion is inhomogeneity in the static B0 field that ...

The mapping of complex-valued functions onto phase-only spatial light modulators is examined. Random phase encoding effectively adds amplitude control to the phase-only filter and can be used to trade off systematic errors of the phase-only filter for random errors. This is illustrated for the problem of recognizing a threedimensional object from arbitrary views. The complex-valued composite fi...

An enhanced technique of color image encryption based on random matrix key encoding is proposed. To encrypt the color image a separation into Red Green and Blue (R, G, B) channels will applied. Each channel is encrypted using a technique called double random matrix key encoding then three new coding image matrices are constructed. To obtain the reconstructed image that is the same as the origin...

Computer-generated holography has been anticipated in augmented reality (AR) since it can fully provide multi-depth 3D information to users, but speckle noises are often accompanied as one of the most significant degradation factors. Since complex amplitude encoding suppress noises, applying double-phase a lensless holographic projection system using double-step Fresnel diffraction (DSF) algori...

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Measurability with respect to ideals is tightly connected absoluteness principles for certain forcing notions. We study a uniformization principle that postulates the existence of uniformizing function on large set, relative given ideal. prove all σ<!-- σ...