EP1716429A1 - Imaging method based on fractal surface-filling or space-filling curves - Google Patents
Imaging method based on fractal surface-filling or space-filling curvesInfo
- Publication number
- EP1716429A1 EP1716429A1 EP04804915A EP04804915A EP1716429A1 EP 1716429 A1 EP1716429 A1 EP 1716429A1 EP 04804915 A EP04804915 A EP 04804915A EP 04804915 A EP04804915 A EP 04804915A EP 1716429 A1 EP1716429 A1 EP 1716429A1
- Authority
- EP
- European Patent Office
- Prior art keywords
- sample
- field
- imaging method
- magnetic resonance
- nuclear magnetic
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Withdrawn
Links
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/20—Arrangements or instruments for measuring magnetic variables involving magnetic resonance
- G01R33/44—Arrangements or instruments for measuring magnetic variables involving magnetic resonance using nuclear magnetic resonance [NMR]
- G01R33/48—NMR imaging systems
- G01R33/4818—MR 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
- G01R33/482—MR 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
- G01R33/4822—MR 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
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/20—Arrangements or instruments for measuring magnetic variables involving magnetic resonance
- G01R33/44—Arrangements or instruments for measuring magnetic variables involving magnetic resonance using nuclear magnetic resonance [NMR]
- G01R33/445—MR involving a non-standard magnetic field B0, e.g. of low magnitude as in the earth's magnetic field or in nanoTesla spectroscopy, comprising a polarizing magnetic field for pre-polarisation, B0 with a temporal variation of its magnitude or direction such as field cycling of B0 or rotation of the direction of B0, or spatially inhomogeneous B0 like in fringe-field MR or in stray-field imaging
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/20—Arrangements or instruments for measuring magnetic variables involving magnetic resonance
- G01R33/44—Arrangements or instruments for measuring magnetic variables involving magnetic resonance using nuclear magnetic resonance [NMR]
- G01R33/48—NMR imaging systems
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/20—Arrangements or instruments for measuring magnetic variables involving magnetic resonance
- G01R33/44—Arrangements or instruments for measuring magnetic variables involving magnetic resonance using nuclear magnetic resonance [NMR]
- G01R33/48—NMR imaging systems
- G01R33/54—Signal processing systems, e.g. using pulse sequences ; Generation or control of pulse sequences; Operator console
- G01R33/56—Image enhancement or correction, e.g. subtraction or averaging techniques, e.g. improvement of signal-to-noise ratio and resolution
- G01R33/561—Image enhancement or correction, e.g. subtraction or averaging techniques, e.g. improvement of signal-to-noise ratio and resolution by reduction of the scanning time, i.e. fast acquiring systems, e.g. using echo-planar pulse sequences
- G01R33/5615—Echo train techniques involving acquiring plural, differently encoded, echo signals after one RF excitation, e.g. using gradient refocusing in echo planar imaging [EPI], RF refocusing in rapid acquisition with relaxation enhancement [RARE] or using both RF and gradient refocusing in gradient and spin echo imaging [GRASE]
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/20—Arrangements or instruments for measuring magnetic variables involving magnetic resonance
- G01R33/44—Arrangements or instruments for measuring magnetic variables involving magnetic resonance using nuclear magnetic resonance [NMR]
- G01R33/48—NMR imaging systems
- G01R33/4806—Functional imaging of brain activation
Definitions
- Imaging method based on self-similar area or space-filling curves
- the present invention relates to an imaging method and an associated device for nuclear magnetic resonance, which are based on self-similar area-filling or space-filling curves.
- Magnetic resonance or spin resonance is based on the fact that atomic nuclei (in particular atomic nuclei in molecules) are excited by radio waves and in turn emit radio waves.
- the nuclear magnetic resonance effect can also be exploited and in particular in the imaging of the following nuclei:, 3 C, 15 N, 1 29 Xe, 3 He, 23 Na and , 7 0, the reason for this is the self-rotation - the spin - of the protons.
- this spin As a moving electrical charge, this spin generates a small, atomic magnetic field that interacts with the magnetic moments of the neighboring protons. Depending on the environment, a characteristic magnetic moment of the entire molecule is created.
- Hydrogen cores because they are by far the most common. If the person to be examined is exposed to a strong static magnetic field, the spins orient themselves of protons in the body after this external magnetic field. In general, a high-frequency electromagnetic field is applied perpendicular to the static magnetic field. At a certain frequency, the Larmor frequency, the spins are deflected, they resonate.
- the spins of the protons are excited layer by layer by switching on an additional gradient magnetic field (layer selection gradient) in a precisely defined time.
- the returned radio waves can be precisely localized when using the reading and phase gradient; pixels are created which can be combined to form a two-dimensional image.
- Magnetic resonance thus represents a widely used, non-invasive method for examining the human body.
- Functional magnetic resonance tomography is used, for example, to display local brain activity,
- EPI ec / io planar imaging
- EPI is by far the fastest method in MR imaging.
- the classic EPI sequence uses a single excitation and then collects all data using gradient echo technology.
- An MR image can be created in less than 1 00 ms.
- the gradient echo variant (V-sensitive) is used for measuring brain activity.
- the functional MR imaging is based on the BOLD effect: Blood Oxygen Level Dependent Effect.
- the spin echo variant (T 2 sensitive) uses a 1 80 ° RF pulse after the excitation pulse in order to minimize the field inhomogeneities. Using an additional 1 80 ° pulse, T, weighted images can also be recorded with the EPI.
- the pure gradient echo variant is particularly suitable for cardiac imaging. With EPI, the frequency encoding gradient oscillates (continuously or with plateau intervals), creating a series of gradient echoes.
- phase encoding gradient is switched during reading. This means that all echoes are given a different phase encoding: the raw data matrix is filled line by line with an alternating direction.
- the echo signal is generated by switching a pair of dephasing and rephasing gradients.
- the frequency coding gradient is switched on directly after the excitation pulse with negative polarity. It first causes the spins to fan out. Then you switch it to positive polarity. Now the spins are brought back into phase (rephasing) and there is an echo.
- a tilt angle less than 90 ° provides a better signal-to-noise ratio than a 90 ° Pulse.
- the first excitation pulse is considered.
- an excitation pulse with a tilt angle of 20 ° produces a sufficient transverse magnetization of 34% of the maximum value.
- the longitudinal magnetization is 94% of the maximum value.
- a high longitudinal magnetization is again available at the next excitation pulse.
- T R small compared to T. a stronger MR signal is therefore generated with a smaller tilt angle than with a 90 ° pulse.
- the longitudinal magnetization recovers faster the smaller it is. After each deflection by the tilt angle, the remaining longitudinal magnetization is initially smaller than before. It then recovers faster the smaller it is. After several excitation pulses, a balance is struck between these two opposing tendencies. The longitudinal magnetization and thus also the signal is then the same after each pulse. This state of equilibrium is also called steady state,
- the variation of the tilt angle changes not only the signal-to-noise ratio, but also the contrast behavior of the MR image.
- Ernst angle a maximum signal results for a certain repetition time T R and the T- time dependent on the tissue.
- a tilt angle is chosen in which the contrast is not necessarily optimized, but rather the signal-to-noise ratio.
- Hubert curves in the field of MR imaging is also known from the prior art and was described in: "Detecting Discriminative Functional MRI Activation Patterns Using Space Flowing Curves", D.Kontos, V.Megalooikonomou, N.Ghubade, C Faloutsos, EMBC2003, pp.963-966.
- an evaluation of already (conventionally) recorded MR data is carried out with regard to patterns that are characteristic of a clinical picture.
- the Hilbert curve maps 3D data sets to 1-D data structures, which are then compared with each other.
- the imaging method for nuclear magnetic resonance provides that a constant magnetic magnetic field acts on a sample.
- the s.ai iscne magnetic field has a strength between e x ao, 25 and 10 T in current MR tomographs.
- the basic field is necessary in order to ensure a minimum size of the signal-to-smoke behavior.
- the basic field can be comparatively very small. all, ciso have less than 0.25 T,
- the magnetic field is superimposed by an additional field.
- the additional field has the property of having a different, only e'nrna, field strength value for each point of at least one grid area within the sample volume in each point of the Gilter plane.This can be several Giiter areas and these do not have to be must be pianar it can be spherical or cylindrical surfaces uie sample is also excited by a high-frequency, alternating electromagnetic field.
- the imaging method according to the invention further provides that the electromagnetic radiation emitted by the excited sample is recorded and evaluated for image generation by using the so given additional field, a time-varying gradient field can be omitted. It follows that a magnetic resonance (MR) image with a single one
- the field can be kept constant in time over several measurements, which makes broadband high-frequency excitation necessary. Or it can be switched on for each measurement using a comparatively narrow band excitation. With narrow-band excitation, the resonance frequencies of the spins are close to one another, which is achieved, for example, by switching off the additional field. With a broadband excitation, the additional field can remain, which is technically easier to implement.
- the electromagnetic radiation emitted by the excited sample is also read out and evaluated for image generation.
- the additional field is described by area-filling or space-filling curves, these curves having a unambiguous assignment of the field strength value and point of the grid. Due to the unambiguous assignment between location and frequency, the image can be reconstructed using a 1-D Fourier transformation. For example, a raw data matrix is filled with data and converted into an MR image by means of a 1-D Fourier transformation done sequentially. For example, the examination object is transported past the measurement arrangement or through it, or individual segments of the measurement arrangement are activated in succession.
- the additional field is described by area-filling or space-filling curves.
- the magnetic field defined in this way is generated, for example, with a current-carrying coil arrangement, which is determined by numerical optimization. This is a magnetostatic calculation, whereby the differences between the specified magnetic field values and the numerically determined values are to be minimized.
- a further embodiment of the method according to the invention provides that several areas of the sample are measured simultaneously, that is to say in parallel in time. For example, this is achieved by using a measuring arrangement that is designed in a correspondingly multiple manner. As a result, the method according to the invention can be carried out particularly quickly.
- echoes are generated.
- This is a fast measurement technique, which is, for example, spin echo and gradient echoes.
- the additional field changes its sign via the tent.
- gradient echoes can be generated analogously to the known MR imaging, but not for individual k-space lines, but for an entire image at a time. This allows fast spectroscopic MR imaging to be carried out: excitation and recording of several successive ones echo images.
- the additional field is described by a Hilbert curve, a special space-filling and area-filling curve. If the Hilbert curve is used, a hierarchical artifact structure results, ie there is a negative correlation between the artifact size and frequency. This advantageously achieves a compromise, since weak artifacts can be tolerated more than strong ones.
- the method according to the invention can be used to measure current distributions or magnetic fields. Because no gradients are switched, no (unwanted) currents can be induced in the sample.
- Another alternative imaging method for nuclear magnetic resonance provides that spatially detectable transverse magnetization is generated in the sample by means of high-frequency excitation. By switching imaging gradients, for example, a spatially resolved measurement of the transverse magnetization takes place.
- the signal is read along in a data acquisition phase self-similar, space-filling curves and a raw data matrix is formed from the data obtained. With the aid of a Fourier transformation, an image is obtained from the raw data matrix.
- the raw data matrix (so-called k-space) is generated line by line or by scanning on circular paths.
- the reading gradient (often operated with almost maximum amplitude) alternates between each k-space line, which creates the sequence-typical noises with frequencies in the order of 500 Hz.
- “Sequence” denotes the sequence of high-frequency excitations, gradient pulses and data acquisitions.
- the sign of the gradients changes significantly more often, with almost every k-space point; which practically corresponds to a sequence of EPI 'blips' Blip 'is a gradient pulse that is required to switch from one k-space line to the next, which means that the gradient noise is advantageously shifted to a higher frequency range (with a resolution of 64x64 from frequencies around 500Hz) Frequencies around 32000 Hz)
- This effect can be used to advantage for the execution of auditory brain imaging studies, as these are partially impaired by gradient noises, partly because human hearing is particularly sensitive in the frequency range relevant for speech production.
- Sound attenuation can advantageously be eliminated by the method according to the invention.
- sequence-technical measures for sound reduction exist in the Extension of the k-space re-addition and the reduction of the k-space lines, which disadvantageously increases the measurement time or reduces the resolution of the measurement.
- the method according to the invention also avoids longer-lasting gradient plateaus 1 , which relieves the load on the gradient amplifiers or less technical requirements on the gradient amplifiers.
- Another advantage of the image coding according to the invention is a reduction in the periodicity of the gradient time profile, which in turn reduces mechanical resonances of the imaging device.
- the space-filling trajectory is described by a Hilbert curve.
- Hilbert curve trajectory
- neighboring k-space points are scanned at similar points in time, as a result of which artifacts are distributed more evenly over the k-space.
- a further embodiment provides that the data acquisition takes place in segments, i.e.
- the k-space is divided into individual segments, which in turn are scanned along a space-filling curve (“hybrid method”), i.e. an excitation pulse is generated for each segment.
- Hybrid method space-filling curve
- a further embodiment of the method according to the invention provides that the image coding takes place in 3 dimensions. It is therefore suitable for so-called echo volum imaging. This is a three-dimensional EPI, with the layer selection advantageously being dispensed with.
- Another embodiment provides that parts of the measuring arrangement are moved past the sample or through the sample or individual gradient coils are activated one after the other.
- a constant, static magnetic field which acts on a sample.
- the device comprises means for generating an additional field which is superimposed on the static magnetic field and which has different field strength values in at least one grid area within the sample volume at every point of the grid area.
- means are provided for generating a high-frequency, alternating electromagnetic field, which excites the sample.
- the means for generating a high-frequency alternating electromagnetic field comprise an RF transmission / reception coil that encloses the entire sample.
- the means for reading out serve to register the electromagnetic radiation emitted by the excited sample.
- means are provided for evaluation and image generation.
- the devices are known MR imaging devices.
- a time-varying gradient field can be omitted. It is consequently possible to record a magnetic resonance (MR) image with a single high-frequency excitation without time-varying gradients, which in turn advantageously prevents the associated sound development,
- the means for generating an additional field comprise a micro-coil arrangement.
- they are so-called micro-coil arrays, as are used in surface measurement or in biology or biochemistry for screening systems.
- the field can be generated, for example, with micro-coils that are arranged in a matrix-like (nxn) manner on a rectangular surface.
- the sample rests, for example, on these coils or adjoins them directly.
- the additional field for example by means of a Hilbert curve, a special space and area-filling curve, the current strengths of the microcoils are defined by the values along this Hilbert curve with a linear increase in the field strength along the curve.
- Another device provides that means are provided for generating a detectable transverse magnetization in a sample.
- the device also provides means for data acquisition of a signal along a self-similar, space-filling trajectory.
- means for data evaluation are provided which form a raw data matrix from the acquired data and which obtain an image from the raw data matrix using Fourier transformation.
- the device according to the invention advantageously provides for a reduction or frequency shift of the “sequence” noise.
- the effect can be advantageous for performing auditory Brain imaging studies can be used because they are sometimes severely affected by gradient noise. This is partly due to the fact that human hearing is particularly sensitive in the frequency range relevant to speech generation.
- Elaborate and expensive measures for reducing sound developments through passive or even active sound attenuation can advantageously be omitted in the device according to the invention.
- the device can be kept comparatively simple, since longer-lasting 'gradient plateaus' are avoided, which results in a relief of the gradient amplifiers or lower technical requirements for the gradient amplifiers.
- a further advantage of the image coding according to the invention is a reduction in the periodicity of the gradient time curve, which in turn reduces mechanical resonances of the imaging device.
- Figure 1 is a 3D representation of a two-dimensional Hilbert curve.
- the z coordinate indicates the point in time at which the corresponding k-space point is reached or the strength of the additional field as a function of the location.
- Figure 2a shows an example of the k ⁇ component of a Hilbert trajectory for a resolution of 64x64 voxels.
- FIG. 2b shows an example of the k component of a Hilbert trajectory for a resolution of 64x64 voxels.
- FIG. 3a shows the x component of the gradient field for the coding of the Hilbert trajectory, which results from the k (t) curve by time derivation.
- FIG. 3b shows the y component of the gradient field for the coding of the Hilbert trajectory, which results from the k (t) curve by time derivation.
- the present invention relates to an imaging method and apparatus for nuclear magnetic resonance.
- the method provides for image coding by means of an additional field, which has a different field strength value that occurs only once for each point of a 2-dimensional grid area within the sample.
- a reading of the resonance behavior of a sample can be provided along a space-filling or area-filling curve
- a magnetic resonance (MR) image can be provided a single high-frequency excitation without time-varying gradients, which advantageously prevents the associated Schailenfwickiung
- the noises generated during the reading are advantageously shifted to another frequency range in which the human ear has a lower sensitivity, moreover, so the device is relieved and the technical requirements placed on it are reduced. Furthermore, it can be carried out with known and existing devices.
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- Physics & Mathematics (AREA)
- High Energy & Nuclear Physics (AREA)
- Condensed Matter Physics & Semiconductors (AREA)
- General Physics & Mathematics (AREA)
- Health & Medical Sciences (AREA)
- General Health & Medical Sciences (AREA)
- Nuclear Medicine, Radiotherapy & Molecular Imaging (AREA)
- Radiology & Medical Imaging (AREA)
- Engineering & Computer Science (AREA)
- Signal Processing (AREA)
- Spectroscopy & Molecular Physics (AREA)
- Magnetic Resonance Imaging Apparatus (AREA)
Abstract
Description
Claims
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
DE102004005005A DE102004005005B4 (en) | 2004-01-30 | 2004-01-30 | Imaging methods and apparatus based on self-similar area or space filling curves |
PCT/EP2004/053572 WO2005073748A1 (en) | 2004-01-30 | 2004-12-17 | Imaging method based on fractal surface-filling or space-filling curves |
Publications (1)
Publication Number | Publication Date |
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EP1716429A1 true EP1716429A1 (en) | 2006-11-02 |
Family
ID=34813078
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
EP04804915A Withdrawn EP1716429A1 (en) | 2004-01-30 | 2004-12-17 | Imaging method based on fractal surface-filling or space-filling curves |
Country Status (5)
Country | Link |
---|---|
US (1) | US7557574B2 (en) |
EP (1) | EP1716429A1 (en) |
JP (1) | JP2007519452A (en) |
DE (1) | DE102004005005B4 (en) |
WO (1) | WO2005073748A1 (en) |
Families Citing this family (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
DE102007059299A1 (en) | 2007-05-16 | 2008-11-20 | Entex Rust & Mitschke Gmbh | Device for processing products to be degassed |
DE102011112081A1 (en) | 2011-05-11 | 2015-08-20 | Entex Rust & Mitschke Gmbh | Process for processing elastics |
DE102013000708A1 (en) | 2012-10-11 | 2014-04-17 | Entex Rust & Mitschke Gmbh | Process for the extrusion of plastics that are prone to sticking |
EP3364205A1 (en) * | 2017-02-17 | 2018-08-22 | MR Coils, BV | Method and apparatus for ultrasonic gradients in magnetic resonance imaging |
GB2594686B (en) | 2020-02-28 | 2023-11-29 | Tesla Dynamic Coils BV | MRI apparatus |
US11686802B2 (en) * | 2021-11-12 | 2023-06-27 | Maier Stephan | Method and magnetic resonance apparatus for diffusion image acquisition with motion offsetting and navigation-dependent segmentation |
Family Cites Families (6)
Publication number | Priority date | Publication date | Assignee | Title |
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GB1580787A (en) * | 1976-04-14 | 1980-12-03 | Mansfield P | Nuclear magnetic resonance apparatus and methods |
DE4216969C2 (en) | 1992-05-22 | 2003-02-13 | Axel Haase | Process for the simultaneous acquisition of spin resonance data for a spatially resolved multilayer examination of an object |
US5781906A (en) * | 1996-06-06 | 1998-07-14 | International Business Machines Corporation | System and method for construction of a data structure for indexing multidimensional objects |
US6954068B1 (en) * | 2000-01-21 | 2005-10-11 | Kabushiki Kaisha Toshiba | Magnetic resonance imaging apparatus |
US6858436B2 (en) * | 2002-04-30 | 2005-02-22 | Motorola, Inc. | Near-field transform spectroscopy |
GB0211516D0 (en) | 2002-05-20 | 2002-06-26 | Univ Sheffield | Method and apparatus for magnetic resonance imaging |
-
2004
- 2004-01-30 DE DE102004005005A patent/DE102004005005B4/en not_active Expired - Fee Related
- 2004-12-17 EP EP04804915A patent/EP1716429A1/en not_active Withdrawn
- 2004-12-17 WO PCT/EP2004/053572 patent/WO2005073748A1/en active Application Filing
- 2004-12-17 JP JP2006549945A patent/JP2007519452A/en not_active Withdrawn
- 2004-12-17 US US10/586,083 patent/US7557574B2/en not_active Expired - Fee Related
Non-Patent Citations (1)
Title |
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See references of WO2005073748A1 * |
Also Published As
Publication number | Publication date |
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JP2007519452A (en) | 2007-07-19 |
DE102004005005B4 (en) | 2007-11-22 |
WO2005073748A1 (en) | 2005-08-11 |
US20080231268A1 (en) | 2008-09-25 |
DE102004005005A1 (en) | 2005-09-08 |
US7557574B2 (en) | 2009-07-07 |
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