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Fourier transform phases

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  • Fourier analysis — In mathematics, Fourier analysis is a subject area which grew out of the study of Fourier series. The subject began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions. The… …   Wikipedia

  • Discrete Fourier series — A Fourier series is a representation of a function in terms of a summation of an infinite number of harmonically related sinusoids with different amplitudes and phases. The amplitude and phase of a sinusoid can be combined into a single complex… …   Wikipedia

  • Radon transform — In mathematics, the Radon transform in two dimensions, named after the Austrian mathmematician Johann Radon, is the integral transform consisting of the integral of a function over straight lines. The inverse of the Radon transform is used to… …   Wikipedia

  • Hadamard transform — The Hadamard transform (also known as the Walsh Hadamard transform, Hadamard Rademacher Walsh transform, Walsh transform, or Walsh Fourier transform) is an example of a generalized class of Fourier transforms. It is named for the French… …   Wikipedia

  • Haar transform — The Haar transform is the simplest of the wavelet transforms. This transform cross multiplies a function against the Haar wavelet with various shifts and stretches, like the Fourier transform cross multiplies a function against a sine wave with… …   Wikipedia

  • X-ray crystallography — can locate every atom in a zeolite, an aluminosilicate with many important applications, such as water purification. X ray crystallography is a method of determining the arrangement of atoms within a crystal, in which a beam of X rays strikes a… …   Wikipedia

  • Diffraction — Computer generated intensity pattern formed on a screen by diffraction from a square aperture …   Wikipedia

  • Coherent diffraction imaging — A diffraction pattern of a gold nanocrystal formed from using a nano area beam of coherent X rays. This reciprocal space diffraction image was taken by Ian Robinson s Group to be used in the reconstruction of a real space coherent x ray… …   Wikipedia

  • Phase problem — The phase problem is the name given to the problem of loss of information (the phase) from a physical measurement. The name itself comes from the field of x ray crystallography, where the phase problem has to be solved for the determination of a… …   Wikipedia

  • Reassignment method — The method of reassignment is a technique forsharpening a time frequency representation by mappingthe data to time frequency coordinates that are nearer tothe true region of support of theanalyzed signal. The method has been… …   Wikipedia

  • Crystallographic image processing — (CIP) is a set of methods for determining the atomic structure of crystalline matter from high resolution electron microscopy (HREM) images obtained in a transmission electron microscope (TEM). The term was created in the research group of Sven… …   Wikipedia

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