摘要:
Magnetic resonance imaging data lines or views are generated and stored in a magnetic resonance data memory (56). The number of views or phase encode gradient steps N along each of one or more phase encode gradient directions is selected (70) to match the dimensions of the region of interest. A discrete Fourier transform algorithm operates on the data in the magnetic resonance data memory to generate an image representation for storage in an image memory (96). Unlike a fast Fourier transform algorithm which requires a N views or data lines, where a and N are integers, the discrete Fourier transform has a flexible number of data lines and data value which can be accommodated. In preferred embodiments, the discrete Fourier transform operation is performed by a CHIRP-Z transform or a Goertzel's second order Z-transform which can accommodate any number of data lines or values.
摘要:
An incomplete set of three dimensinal magnetic resonance data (F(k₁, k₂, k₃) is collected and stored in acquired data memory (60). The incomplete data set is complete with respect to first and second directions and incomplete with respect to a third direction. However, the acquired data set has data along the third direction between ±n central values and half the remaining values. One dimensional inverse Fourier transforms (64, 66) are performed with respect to the first and second directions to create an intermediate data set (68). A phase correction array or plurality of phase correction vectors p( r ) are generated from the intermediate data and stored in a phase correction memory (82). A symmetric data set (100) is created as the complex conjugate of the intermediate data set. The intermediate and symmetric data sets are one dimensionally inverse Fourier transformed (92, 104) with respect to the third direction one vector at a time to produce vectors of first and second complex image arrays (f A , F S ) corrected (96, 108) with the corresponding phase correction vector, and combined (110) into a line of a resultant three dimensional image representation (112).
摘要:
Magnetic resonance imaging data lines or views are generated and stored in a magnetic resonance data memory (56). The number of views or phase encode gradient steps N along each of one or more phase encode gradient directions is selected (70) to match the dimensions of the region of interest. A discrete Fourier transform algorithm operates on the data in the magnetic resonance data memory to generate an image representation for storage in an image memory (96). Unlike a fast Fourier transform algorithm which requires a N views or data lines, where a and N are integers, the discrete Fourier transform has a flexible number of data lines and data value which can be accommodated. In preferred embodiments, the discrete Fourier transform operation is performed by a CHIRP-Z transform or a Goertzel's second order Z-transform which can accommodate any number of data lines or values.
摘要:
A transmitter (24) and gradient amplifiers (20) transmit radio frequency excitation and other pulses to induce magnetic resonance in selected magnetic dipoles and cause the magnetic resonance to be focussed into a series of echoes (66) at each of a plurality of preselected echo positions following each excitation. A receiver (38) converts each echo into a data line. Calibration data lines having a close to zero phase-encoding are collected and used to generate correction parameters (102) for each of the echo positions. These parameters include relative echo centre positions (96) and unitary complex correction vectors (106) . The calibration data lines for each of the preselected positions are one-dimensionally Fourier transformed ( 82 ) and multiplied ( 90 ) by the same complex conjugate reference echo (80) . These data lines are then inverse Fourier transformed (92) to generate an auxiliary data array (94) . A relative echo centre position is computed (96) which represents a fractional shift of the true centre relative to the reference echo. A complex sum is computed (104) from the relative echo centre position and normalised (106) to generate a unitary correction vector. The phase-correction parameters are used to phase-correct (116) imaging data lines. The phase-corrected imaging data lines are sorted (122) to build an image plane which is one-dimensionally Fourier transformed (128) in the phase-encoding direction to produce a final corrected image (130) for display on a monitor (134) .
摘要:
An incomplete set of three dimensinal magnetic resonance data (F(k₁, k₂, k₃) is collected and stored in acquired data memory (60). The incomplete data set is complete with respect to first and second directions and incomplete with respect to a third direction. However, the acquired data set has data along the third direction between ±n central values and half the remaining values. One dimensional inverse Fourier transforms (64, 66) are performed with respect to the first and second directions to create an intermediate data set (68). A phase correction array or plurality of phase correction vectors p( r ) are generated from the intermediate data and stored in a phase correction memory (82). A symmetric data set (100) is created as the complex conjugate of the intermediate data set. The intermediate and symmetric data sets are one dimensionally inverse Fourier transformed (92, 104) with respect to the third direction one vector at a time to produce vectors of first and second complex image arrays (f A , F S ) corrected (96, 108) with the corresponding phase correction vector, and combined (110) into a line of a resultant three dimensional image representation (112).