K-space
Encyclopedia
K-space can refer to:
- Another name for the Frequency domainFrequency domainIn electronics, control systems engineering, and statistics, frequency domain is a term used to describe the domain for analysis of mathematical functions or signals with respect to frequency, rather than time....
but referring to a spatial rather than temporal frequency - Reciprocal space for the Fourier transformFourier transformIn mathematics, Fourier analysis is a subject area which grew from the study of Fourier series. The subject began with the study of the way general functions may be represented by sums of simpler trigonometric functions...
of a spatial function - Momentum Space for the vector spaceVector spaceA vector space is a mathematical structure formed by a collection of vectors: objects that may be added together and multiplied by numbers, called scalars in this context. Scalars are often taken to be real numbers, but one may also consider vector spaces with scalar multiplication by complex...
of possible values of momentum for a particle - K-spaceK-space (MRI)k-space is a formalism widely used in magnetic resonance imaging independently introduced in 1983 by Ljunggren and Twieg.In MRI physics, k-space is the 2D or 3D Fourier transform of the MR image measured. Its complex values are sampled during an MR measurement, in a premeditated scheme controlled...
in Magnetic Resonance ImagingMagnetic resonance imagingMagnetic resonance imaging , nuclear magnetic resonance imaging , or magnetic resonance tomography is a medical imaging technique used in radiology to visualize detailed internal structures... - In topologyTopologyTopology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...
, a k-space is another name for a compactly generated spaceCompactly generated spaceIn topology, a compactly generated space is a topological space whose topology is coherent with the family of all compact subspaces. Specifically, a topological space X is compactly generated if it satisfies the following condition:Equivalently, one can replace closed with open in this definition... - K-Space (band)K-Space (band)K-Space are a British-Siberian experimental electroacoustic improvisation music ensemble comprising Scottish percussionist Ken Hyder, English multi-instrumentalist Tim Hodgkinson, and Siberian percussionist and throat singer Gendos Chamzyryn. The trio was formed in Tuva, Siberia in 1996...
, a British-Siberian music ensemble