GB2037996A - Improvements in or relating to imaging systems - Google Patents

Improvements in or relating to imaging systems Download PDF

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GB2037996A
GB2037996A GB7937644A GB7937644A GB2037996A GB 2037996 A GB2037996 A GB 2037996A GB 7937644 A GB7937644 A GB 7937644A GB 7937644 A GB7937644 A GB 7937644A GB 2037996 A GB2037996 A GB 2037996A
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processing
elements
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R33/00Arrangements or instruments for measuring magnetic variables
    • G01R33/20Arrangements or instruments for measuring magnetic variables involving magnetic resonance
    • G01R33/44Arrangements or instruments for measuring magnetic variables involving magnetic resonance using nuclear magnetic resonance [NMR]
    • G01R33/48NMR imaging systems
    • G01R33/4818MR characterised by data acquisition along a specific k-space trajectory or by the temporal order of k-space coverage, e.g. centric or segmented coverage of k-space
    • G01R33/482MR characterised by data acquisition along a specific k-space trajectory or by the temporal order of k-space coverage, e.g. centric or segmented coverage of k-space using a Cartesian trajectory
    • G01R33/4822MR characterised by data acquisition along a specific k-space trajectory or by the temporal order of k-space coverage, e.g. centric or segmented coverage of k-space using a Cartesian trajectory in three dimensions
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R33/00Arrangements or instruments for measuring magnetic variables
    • G01R33/20Arrangements or instruments for measuring magnetic variables involving magnetic resonance
    • G01R33/44Arrangements or instruments for measuring magnetic variables involving magnetic resonance using nuclear magnetic resonance [NMR]
    • G01R33/48NMR imaging systems
    • G01R33/483NMR imaging systems with selection of signals or spectra from particular regions of the volume, e.g. in vivo spectroscopy

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  • Physics & Mathematics (AREA)
  • High Energy & Nuclear Physics (AREA)
  • Condensed Matter Physics & Semiconductors (AREA)
  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
  • Spectroscopy & Molecular Physics (AREA)
  • Magnetic Resonance Imaging Apparatus (AREA)

Abstract

The invention provides an NMR machine capable of volume scan. Initial data is provided for a plurality of planes in the body, instead of a plurality of lines as previously, and this is repeated at different positions rotated about an axis parallel to the planes. Convolution processing thus yields data for a matrix of lines parallel to that axis. Further rotation about the z-axis and repetition of the previous analysis at each stage yields data for such matrices of lines at different angles to the z-axis and further convolution processing provides data for a three-dimensional matrix of elements in the body. The last mentioned processing may be done in individual ones of parallel planes. <IMAGE>

Description

SPECIFICATION Improvements in or relating to imaging systems The present invention relates to systems for providing images of distributions of a quantity, in a chosen region of a body, by gyromagnetic resonance, particularly nuclear magnetic resonance (NMR) techniques. Such techniques may be used for examining bodies of different kinds. A particularly beneficial application is the examination of patients for medical purposes.
It has been proposed that nuclear magnetic resonance be used to provide distributions of water protons or other molecules or relaxation time constants in sectional slices or volumes of patients. It is particularly beneficial to perform the examination to provide data which can be analysed by techniques similar to those known for distributions of X-ray attenuation provided by computerised tomography (CT) systems.
An apparatus for, and method of achieving this, and improvements thereto, have been described and claimed in our co-pending patent applications 22291/78,22292/78, 22293/78, 22294/78, 22295/78 and 7921183, Serial No. 2027208. In that arrangement a steady axial magnetic field is applied during the examination. This combines with various gradient fields to cause resonance in selected regions of the body. In the particular embodiment described the selected region is a planer slice and the examination may be repeated for further such slices.
It is an object of this invention to adapt the arrangement for use with larger volumes of the body. In the particular embodiment described the selected region is a planar slice and the examination may be repeated for further such slices.
It is an object of this invention to adapt the arrangement for use with larger volumes of the body.
According to the invention there is provided a method, of examining a body by means of nuclear magnetic resonance, including a) exciting resonance in a plurality of substantially parallel planar slices of said body and deriving a resonance signal for each of said slices, b) repeating step (a) for slices rotated through a plurality of different angles about a first axis substantially parallel to the planes thereof.
c) processing the derived resonance signals to provide integrals of a quantity related to said resonance for each of a plurality of lines parallel to said first axis, d) repeating steps a), b) and c) for slices rotated through a plurality of different angles about a second axis substantially perpendicular to said first axis.
e) processing the integrals for lines at each of said second mentioned angles to obtain measurements of said quantity in each element of a three dimensional matrix of elements in said body.
In order that the invention may be clearly understood and readily carried into effect, it will now be described by way of example with reference to the accompanying drawings of which, Figure 1 shows a slice examined by a prior NMR method, Figure 2 shows how the slice of Figure 1 is examined by resonance in parallel strips of the slice, Figure 3 shows, for the prior method, the matrix for which data is obtained, Figure 4 shows the volume examined by the present method, Figure 5 shows how the volume is divided into parallel slices in which resonance is excited, Figure 6 shows one step in the rotation of said slices, Figure 7 shows a further step in the rotation, Figure 8 shows a yet further step in the rotation, Figure 9 shows a matrix of strips in the volume for which data is obtained, Figure 10 shows a similar matrix at a step in a further rotation, Figure 11 shows a matrix at a further step in that rotation, Figure 12 shows a matrix at a yet further step in that rotation, Figure 13 shows how the matrix of Figure 9 can be divided into planar parts, Figure 14 shows planar two dimensional matrices for which data is derived, from planar parts at different angles from Figures 9 to 1 2.
Figure 1 5 shows a typical NMR apparatus which may be used to implement this invention, Figure 1 6 shows a distribution of field measuring coils for the apparatus of Figure 1 5 Figure 1 7 shows an apparatus for implementing the invention, Figure 18 shows a flow diagram illustrating the coordinates used in explaining the invention, Figure 1 9 illustrates the coordinates of the rotations followed and Figure 20 shows a block diagram of a circuit for providing the correct sequence and magnitudes of field gradient pulses.
Nuclear magnetic resonance techniques are generally used to analyse distributions of protons of water molecules in a body. They can, however, be used to analyse other molecules.
molecules subject to a magnetic field have a resonant frequency related to the value of the field. Then, by application of an RF magnetic field at the resonant frequency, they can be excited and the excitation allowed to decay. The decay causes an induced signal at the resonant frequency in suitable coils around the body.
In the arrangement described in the aforesaid applications, the magnetic field is adjusted to have different values in different parts of the body. Only those parts having a resonant frequency equal to the frequency of the RF field are excited.
The basic magnetic field is in the z direction, usually coaxial with a patient's body and can be called Hzo if all fields in that direction are referred to as Hz. A further Hz field Gz is applied to have a gradient in the z-direction so that a Hz.
Gz= az This provides a unique total field value in a chosen cross-sectional slice of the patient shown as in Figure 1. A rotating RF field H1, of frequency chosen to cause resonance in the selected -slice is then applied. Thus only the molecules in the slice resonate. The resonance signal from the slice can then be detected. However, as it is detected there is applied a further field, a Hz.
Gr= ar which is in the z-direction but has a gradient in a direction r perpendicular to z. This causes phase dispersion of the resonance in the r-direction and consequent dispersion of the resonance signal detected. Frequency analysis of this signal, preferably by Fourier Transformations, yields a plurality of resonance signals each for a different one of a plurality of strips in the chosen slice perpendicular to r, as shown in Figure 2.
Now for analysis by the well known CT X-ray techniques this procedure is repeated for many different directions ofrto provide a pluralityofsets of signals for sets of strips in different directions each perpendicular to its respective direction of r.
In practice Gr is provided as the sum of a Hz Gx(= ax and a Hz Gx(= ay gradients, where x, y and z are orthogonal directions and the relative magnitudes of these components are varied to change the direction of r. Between taking each set of readings at different directions of r the spins of the molecules are rephased and the excitation by Gz and H1 is repeated. Rephasing may be achieved by waiting until relaxation achieves the desired effect.
However, in-the interests of a more rapid examination, it may be achieved by repeating the pulse sequence in inverse sense as described in copending application No. 22291/78 which is incorporated herein by preference. Further signals may be sensed during the repetition. They should be identical to those already sensed but will improve the signal to noise ratio. Spin-echo techniques may also be used.
The X-ray type analysis of the data for these strips in different directions results in values of water content in individual elements of a matrix of elements in the slice, the elements being defined by the procedure used and not by the body physiology. This is as indicated in Figure 3 although in practice there aremany more than shown, say 256 x 256, as there are more strips in each set than shown in Figure 2.
It has been found that in application of this technique the receiving coils, as described in the aforesaid applications, accept noise from substantially the whole of the body although useful signals are obtained only from the single examined slice. It is therefore proposed in this invention to obtain signals simultaneously from a volume equivalent to many slices, therefore increasing the useful signal but not the noise, and to analyse them to provide information for many slices.
The procedure to be followed is in many respects similar to that described hereinbefore. However, since it is not required to limit resonance to a single slice it is theoretically not necessary to apply a Gz gradient for slice definition. In practice it is not desired that excitation should be extended to + cc in the z-direction, for example because of possible 'aliasing problems', and for that reason a weak Gz gradient field is applied to limit resonance to a volume of interest which is, in effect, a very thick slice. Such a slice is shown in Figure 4. In practice, of course, this would be a thick slice with the cross-section of the body being examined, approximately a cylinder. However, for clarity and ease of understanding in this and subsequent figures, it is useful artifice to illustrate it as a cubical volume.The cube can be considered as an examined volume in space in which the body lies.
The Gr field is now applied as before and the results is that the volume of Figure 4 is divided into a plurality of planes, each resonating at a different frequency, equivalent to the strips of Figure 2. This is shown in Figure 5. Resonance signals are then obtained as before for each of these planes by the Fourier transform procedure.
However, unlike the previous procedure, before the gradient Gr is rotated in the xy plane it is rotated in a direction perpendicular to that, as shown by the arrow 2 in Figure 5. This is achieved by maintaining Gx and Gy constant but by introducing and varying a Gz component of Gr.
This is similar to the Gz component already applied, apart from the variation and can be applied on the same coils provided the dimensions are suitable. Additional coils can be used. Rotation is over 1 800 in, say 200 steps and resonance signals for the complete set of planes are derived at each of the 200 positions. Some of these positions are shown in Figures 6; 7 and 8. Clearly the 1 800 position will be identical to the 0 position and will not be required.
All of the data for these 200 rotational positions is then processed preferably by the known CT X-ray techniques as described before.The processing does not differ from that previously used. However, as the data are for planes and not strips, the data resulting from the processing will be for strips, all parallel to the axis of rotation 3, rather than for small elements as in Figure 3.
Figure 9 shows how the cubical body assumed so far is divided into strips, for each of which a total water content has now been derived. Once again, in reality, rotation of the cube of Figures 4 to 6 should result in Figure 9 being a cylinder parallel to axis 3. However, for clarity in the subsequent figures, it will again be assumed to be a cube. This can be visualised as a cube selected from the said cylinder.
The procedure described so far to achieve data in this form is similar to that provided by Lauterbur in Pure and Applied Chem. 40, 1974 pp 1 49--1 57. Lauterbur does not, however, give more than general indications that further processing may be performed on this data.
For the arrangement of this invention, to complete the examination procedure the Gx and Gy components are varied so as to rotate the axis 3 around the z-direction. This rotation is achieved through 1800 in, say, steps, and for each of these 200 stages the preceding procedure (rotation of direction r about axis 3 through 1 800, sensing at 200 positions and analysis into strips, each as in Figure 9) is repeated. Thus data for 200 sets of strips, each as in Figure 9, are obtained, all strips in each set being parallel and different sets being at different angles relative to the z-axis.
Three of the 200 stages of this rotation are shown in Figures 10,11 and 12.
It will be apparent that each cube of strips evaluated at one position of the last mentioned rotation can be considered as a set of planes of the same thickness as one strip and each divided into individual strips across its width. Figure 13 shows a cube, similar to that of Figure 9, exploded to illustrate that configuration. Thus as the rotation about the z-axis proceeds, each such plane is rotated about that axis and the data provided for each plane are the same as those obtained as the strips of Figure 2 are rotated about the z-axis. Thus they each may be processed by the known CT X-ray method to provide data for a plurality of parallel planar matrices of elements, each like that of Figure 3, as shown in exploded form in Figure 14. Each of these matrices can be displayed individually as a cross-sectional slice view of the patient or they can be displayed together as a volume view.Of course, the data obtained during rotation about the z-axis may be processed together as a three dimensional processing is desired.
Figure 1 5 shows in simplified form the NMR apparatus of the type described in the aforesaid copending Patent applications. Illustrated, schematically only, are coils 4,-which provide the Gx component of GR 5, which provide the Gy component of G 6, which provide the steady Hzo field, 7, which provide the rotating HI (RF) field, and 8, which provide the Gz field gradient. The coils are driven by Gx, G,, RF(H), Gz and H drive amplifiers 9, 10, 11, 12 and 13 respectively, controlled by G,,(G,), H1, Gz and Hzo control circuits 14, 1 5, 1 6 and 1 7 respectively.These circuits can take suitable forms which will be well known to those with experience of NMR equipment and other apparatuses using coil induced magnetic fields. The circuits are controlled by a central processing and control unit 1 8 to achieve a desired pulse sequence.
The signal sensed, during the GR field application, is received in this example by the H coils 7 and is amplified by an RF amplifier 1 9 before being applied to signal handling circuits 20.
In certain circumstances it may be preferable to provide separate coils specifically designed for the purpose, to sense the signal. The circuits 20 are arranged to make any appropriate calibrations and corrections but essentially transmit the signals, which are effectively proton density values for strips in the body, to the processing circuits to provide the required representation of the examined slice. These circuits can be specially designed to implement the CT type processing, for example the convolution process described and claimed in British Patent No. 1 471 531. It is, however, advantageous to implement the processing by a suitably programmed digital computer.This computer can also conveniently control the pulse sequence and thus represents the circuits indicated at 1 8. The picture thus obtained is viewed on a display 21, such as a television monitor, and this may include inputs and other peripherals 22 for the provision of commands and instructions to the machine, or other forms of output.
The apparatus also includes field measurement and error signal circuits 23 which receive signals via amplifiers 24 from field probes X1, X2,Y1,Y2, N and M shown. The positions of the probes, in relation to the examined slice of the body 25 of the patient, are further shown in Figure 1 6. X1,X2, Y, and Y2 are in this example conventional YIG (yttriu m-iron-ga met) tuned oscillator field measuring probes. The probes give measure of the fields, at the points at which they are situated, as oscillations with frequency proportional to the field intensity. The values measured are therefore obtained by a count of the oscillations in a set time. In practice the YIG probes can oscillate in different modes and it is necessary to determine the mode in operation. For this purpose there are provided NMR probes M 8 N. These probes are simply miniature cells of pure water (such as a closed test tube) surrounded by a smail coil.
Preferably the water is doped to have a suitable value of T, relaxation time-constant. The probes give a reliable resonance of 4.26 kHz/Oe and can be used to check the YIG tuned oscillator modes.
They are, however, of insufficient spatial resolution to be used to replace the YIG probes for gradient field measurement. Probe N, fixed in space, acts as a reference. A movable NMR probe M may be moved adjacent the YIG probes in turn to provide data to determine their modes of oscillation, orientation and other characteristics. Other types of probe may be used as desired.
The apparatus so far described is essentially that disclosed in the said co-pending applications.
It may readily be adapted to implementation of the present invention by adapting the sequencing control of the coil drives to achieve the examination sequence described hereinbefore.
Part of the adaptation to this invention can be seen in the simplified block diagram of the overall NMR system shown in Figure 17. The coil system is indicated generally at 26. This need not differ from that known for two dimensional examinations for example as described in the said patent application, provided the field generating coils are large enough and sufficiently accurately constructed or controlled to give uniform fields over the volume which it is desired to examine.
Similarly, the signal sensing coils should be of sufficient dimension, typically these are also the H, field coils. The coils are driven by field drive units indicated generally at 27 in response to the control part of circuits 18, shown at 28.
The signals received form the sensing coils are amplified in the RF amplifier 19, stored in a store 29 until a full set has been accumulated and processed in a processor 30 which is arranged to process data received in the manner of the said CT X-ray processing. The processor 9 may be identical with those used in CT X-ray equipment with minor consequential amendments. Each time a rotation is achieved about axis 3 (Figs. 5-8) the processed data is stored in an intermediate store 31. After the rotations about axis 3 for all rotation positions about the z-axis have been followed, all of the first processed data is drawn from store 31, in this example one slice at a time (Fig. 13) and further processed in processor 30 in the same manner as previously. All of the twice processed data is then stored in a store 32 for display at 21.
As explained hereinbefore, the signals from amplifier 1 9 have to be Fourier transformed before the processing described. This may conveniently be accomplished also in the processor 30, but a conventional Fourier transform circuit (33) may be inserted between 1 9 and 29 if desired. The circuits 29-30 are incorporated in signal handling and processing 20 and 1 8 of Figure 1 5.
The control unit 28 is merely required to ensure that the units are caused to perform the steps described hereinbefore in the proper order and for predetermined times, as known for NMR apparatus. To that end, control 28 is essentially a programmed clock which sends pulses to switch individual units on and off at predetermined times.
Such units are well known. It may, however, perform other functions, such as calibration and further refinements of processing, if desired.
Figure 1 8 is a flow diagram which shows the stages as described hereinbefore for one example of the invention. Modifications may, of course be made to this sequence within the scope of the invention.
The flow diagram is generally self explanatory and will only be briefly discussed with reference also to Figure 1 9 which shows the relevant coordinates.
In the presence of the Hzo field (34), the volume is excited with a 7r/2 RF (H,) pulse (35-36) to rotate the vectors into the x-y plane, The required Go is the applied (37,39).
As mentioned hereinbefore, it has been the practice to provide a GA field gradient as suitable proportion of orthogonal Gx and Gy field gradients.
In this invention GA moves in three dimensions and therefore is provided by suitable proportions of these orthogonal field gradients Gx, Gy and Gz.
Initially it will be assumed that Go is aligned with the x-axis and it is then provided by Gx and with Gy and Gz being zero.
The first rotation is about the y-axis (vertical in Figure 19) through an angle O and the new Go is provided by Gx = G,,,, 8, Gy O and Gz = GA sin 0. During the application of the GA gradient the NMR signal is sensed (38). The procedure is repeated (40,41) to rotate GA about axis 3 (Figures 5 to 8) with suitable rephasing at each stage (42).
The signals obtained in the course of this rotation are then processed (43) to give signals for the strips parallel to axis 3 (of course these signals may be stored and this processing stage delayed until all signals have been measured). The GA gradient is then rotated about the z axis (44, 45) through an angle (p in the x-y plane and the rotation about axis 3 is repeated.This is shown in Figure 19 as a rotation of towards the Z-axis of the locus swept by vector r in its rotation through 0 < 0 < 3600. The required field gradients are then given by the more general formula: GX= GRCOSSCOS0,GY= GRCOSO Sin 0, Gz = GA Sin 0 and rotation for block 41 generally involves changes in all three orthogonal gradients.
When all rotations through 0 have been completed the processed signals from step 43 are reprocessed in the same manner (46) to give the slice analysis shown in Figure 14.
From the foregoing description it will be appreciated that the principal changes required to known NMR imaging apparatus to implement this invention, reside in the temporary storage of the once processed signals to make a second passage of the otherwise identical processing circuits (or through a further similar circuit) and the provision of the three dimensional gradient pulses. Figure 20 shows a block diagram of a circuit for providing the correct sequence and directions of gradient and other pulses to the respective coils.
Since the examining procedure will in general be identical each time for one particular design of apparatus it is most convenient to determine by calculation, using the formuiae set out hereinbefore, the required durations of the pulses.
The operation is then controlled by these predetermined durations held in suitable stores, conveniently read only memories. In this embodiment one store, 47, holds a profile of amplitude against time for the desired GA pulse.
The Gx, Gy and Gz pulses are formed by modification of this profile-according to the current values of the angles 0 and (p and to this end stores 48, 49, 50 and 51 hold respectively values of Cos 0, Cos (p, Sin (p and Sin 0. Store 52 holds profiles for the H1 (RF) pulses as a sequence of durations at different amplitudes. The sequence of operation of the various stores is determined as described and held in a store 53 as a sequence of different functions and their respective directions.
All operations are tirnes by pulses from a system clock 54. In operation the GA profile is multiplied at 55 by Cos ()Cos 4 (produced at multiplier 56) to give Gx which is applied via a digital to analogue converter (DAC) 57 to x-drive 9. Similarly Cos 0 Sin sS from 58 is multiplied by GA at 59 to give Gy for y-Drive 10 and Sin O is multiplied by GA at 60 to give Gzfor z-drive 12. The H1 profile is provided via only its DAC 61 to H1 drive 11.
It will be appreciated that a faster response may be obtained by avoiding the multiplications and storing all values of each GA component in respective stores for each different angle. This would, however, require a much greater storage capacity. Other embodiments may be derived if required for operation of the invention as explained hereinbefore.

Claims (15)

1. A method, of examining a body by means of nuclear magnetic resonance, including a) exciting resonance in a plurality of substantially parallel planar slices of said body and deriving a resonance signal for each of said slices, b) repeating step (a) for slices rotated through a plurality of different angles about a first axis substantially parallel to the planes thereof.
c) processing the derived resonance signals to provide integrals of a quantity related to said resonance for each of a plurality of lines parallel to said first axis, d) repeating steps a), b) and c) for slices rotated through a plurality of different angles about a second axis substantially perpendicular to said first axis.
e) processing the integrals for lines at each of said second mentioned angles to obtain measurements of said quantity in each element of a three dimensional matrix of elements in said body.
2. A method according to Claim 1 in which step (e) includes processing said integrals in groups, each group being of integrals for a plurality of sets of parallel lines, the lines of all of said sets in one group being substantially coplanar, and processing the integrals of each group to provide measurements of said quantity in elements of a two-dimensional matrix of elements notionally defined in the respective plane.
3. A method according to either of the preceding claims in which each of the said processing steps employs a method suitable for processing line integrals of a quantity passing through a region from a plurality of different directions to provide a distribution of the quantity in said region.
4. A method according to any preceding claim wherein the said quantity is the density of protons in said body.
5. A method of examining a volume of a body by nuclear magnetic resonance, the method being substantially as herein described with reference to the accompanying drawings.
6. An apparatus for examining a body by means of nuclear magnetic resonance including means for exciting resonance in a plurality of substantially parallel planar slices of said body, means for deriving a resonance signal for each of said slices, means for causing the means for exciting to repeat the excitation for a set of parallel planes at a plurality of different orientations in said body and means for processing the resonance signals for said sets of slices to derive values of a quantity related to said resonance in elements of a threedimensional matrix of elements notionally defined in said body.
7. An apparatus according to Claim 6 in which the processing means is arranged to first process the signals into sets of signals for sets of parallel strips of different orientations in each of a plurality of parallel sections of said body and to further process the signals for each such section into values of said quantity for elements of a two dimensional matrix of said elements in the section.
8. An apparatus according to Claim 6 in which the means for exciting is arranged to excite resonance in a plurality of slices at each of a plurality of angular orientations about one axis and to repeat the procedure for each of a plurality of angular orientations of the first axis about a second, orthogonal axis.
9. An apparatus according to Claim 8 in which the means for processing is arranged to process the signals obtained during rotation about the first axis to provide integrals of said quantity for a plurality of strips parallel to that axis in a volume of the body for each angular position of said first axis and to process the said integrals to derive the said values for said elements.
10. An apparatus, for examining a body by nuclear magnetic resonance, substantially as herein described with reference to the accompanying drawings.
11. A method of examining a body by means of nuclear magnetic resonance, including a) applying a rotating RF field to the body in the presence of a field gradient in a first direction to excite resonance in a volume of the body, b) applying a second field gradient in a chosen direction to disperse said resonance in the chosen direction, c) sensing a resonance signal for each of a plurality of sectional slices of said volume dispersed in the chosen direction, d) repeating steps b) and c) for a plurality of different directions of the second field gradient, all of said directions being orthogonal to an axis parallel to said first mentioned slices e) repeating steps a) b) c) and d) for a plurality of different directions of said axis, all of said directions being orthogonal to a further axis in the volume, and f) processing the resonance signals to provide measurements of a quantity related to said resonance for each of a plurality of elements in each element of a three dimensional matrix of elements notionally defined in said body.
12. A method according to Claim 11 in which the resonance signals obtained in a single repetition of steps a), b) c) and d) are processed to derive values of said quantity for each of a plurality of parallel strips of said body parallel to said first mentioned axis, and the said values are subsequently processed for all directions of said axis to provide the values for said elements.
13. A method according to Claim 11 or Claim 12 in which the processing is by a method used in computerised tomographic X-ray analysis to process line integrals of X-ray absorption.
14. A method of examining a body by means of nuclear magnetic resonance including: exciting resonance in a three dimensional region of a body and deriving resonance signals for distinguishable parts of said region; by applying three orthogonal variable field gradients, effectively rotating the region at different rates about two orthogonal axes and repeating the step of exciting resonance and deriving resonance signals for a plurality of positions in said effective rotation; and processing the resonance signals to obtain measurements of a quantity, related to said resonance, in each of a plurality of element of a three dimensional matrix of elements in said body.
15. A method according to Claim 14 in which said processing is by a method suitable for processing computerised tomographic X-ray signals.
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Cited By (15)

* Cited by examiner, † Cited by third party
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EP0055058A1 (en) * 1980-12-11 1982-06-30 Picker International Limited Method of imaging by nuclear magnetic resonance imaging apparatus
EP0056691A1 (en) * 1981-01-15 1982-07-28 Picker International Limited Nuclear magnetic resonance detection method and apparatus
EP0073671A1 (en) * 1981-08-31 1983-03-09 Kabushiki Kaisha Toshiba Nuclear magnetic resonance diagnostic apparatus
EP0076400A1 (en) * 1981-10-01 1983-04-13 Siemens Aktiengesellschaft Apparatus for producing images of an object under examination
EP0105220A1 (en) * 1982-09-22 1984-04-11 Siemens Aktiengesellschaft Apparatus for producing images of an object under examination with nuclear magnetic resonance
EP0106551A2 (en) * 1982-10-13 1984-04-25 Picker International Limited Nuclear magnetic resonance method
EP0130479A2 (en) * 1983-06-30 1985-01-09 General Electric Company Method of projection reconstruction imaging with reduced sensitivity to motion-related artifacts
EP0138962A1 (en) * 1983-03-18 1985-05-02 Albert Macovski Nmr imaging system using field compensation.
US4554925A (en) * 1982-07-07 1985-11-26 Picker International, Ltd. Nuclear magnetic resonance imaging method
EP0165057A2 (en) * 1984-06-13 1985-12-18 Kabushiki Kaisha Toshiba Magnetic resonance apparatus
EP0205199A1 (en) * 1985-05-22 1986-12-17 Koninklijke Philips Electronics N.V. Method of reducing artefacts into images formed by means of nuclear-spin tomography
EP0287661A1 (en) * 1986-01-29 1988-10-26 Yokogawa Medical Systems, Ltd Scan controller for nmr imaging apparatus
EP0301396A2 (en) * 1987-07-27 1989-02-01 General Electric Company Multi-dimensional selective NMR excitation with a single RF pulse
EP0332634A1 (en) * 1986-11-14 1989-09-20 Fonar Corporation Apparatus and method for multiple angle oblique magnetic resonance imaging
EP0629876A1 (en) * 1993-06-12 1994-12-21 Philips Patentverwaltung GmbH Method for generating an MR imaging sequence and device for carrying out the method

Cited By (25)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
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