Method for optimizing the k-space trajectories in the location encoding of a magnetic resonance tomography apparatus
First Claim
1. A method for calculating a sampling path of a k-matrix obtained using a magnetic resonance tomography apparatus having gradient coils operated by sequence controller and a system computer, comprising the steps of:
- entering at least one boundary condition for a magnetic resonance tomography measurement into one of said sequence controller and a said system computer of said magnetic resonance tomography apparatus;
dependent on said at least one boundary condition, calculating a sampling path, having a non-predefined curve shape, for a k-matrix of said magnetic resonance tomography measurement in one of said sequence controller and said system computer by a calculus of variations calculation that includes forming a Hamilton function; and
in one of said sequence controller and said system computer, determining gradient current curves in said magnetic resonance measurement which produce the calculated sampling path when respectively applied to said gradient coils of said magnetic resonance tomography apparatus.
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Abstract
In a method and apparatus for calculating the sampling path of the k-matrix under given boundary conditions for the examination of a subject by means of a magnetic resonance tomography apparatus having a gradient amplifier with appertaining gradient coils, an input-display terminal, a sequence controller and a system computer as well as an analog-to-digital converter, boundary conditions are entered into the sequence controller or into the system computer via the input-display terminal, the sampling path of the k-matrix is calculated taking the boundary conditions into consideration by the sequence controller or the system computer, and the gradient current curves are determined by the sequence controller or the system computer that lead to a sampling along the previously calculated sampling path when applied to the corresponding gradient coils with utilization of the ADC.
35 Citations
36 Claims
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1. A method for calculating a sampling path of a k-matrix obtained using a magnetic resonance tomography apparatus having gradient coils operated by sequence controller and a system computer, comprising the steps of:
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entering at least one boundary condition for a magnetic resonance tomography measurement into one of said sequence controller and a said system computer of said magnetic resonance tomography apparatus;
dependent on said at least one boundary condition, calculating a sampling path, having a non-predefined curve shape, for a k-matrix of said magnetic resonance tomography measurement in one of said sequence controller and said system computer by a calculus of variations calculation that includes forming a Hamilton function; and
in one of said sequence controller and said system computer, determining gradient current curves in said magnetic resonance measurement which produce the calculated sampling path when respectively applied to said gradient coils of said magnetic resonance tomography apparatus. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17)
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18. A magnetic resonance apparatus, comprising:
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a magnetic resonance scanner, having a plurality of gradient coils, for executing a magnetic resonance tomography measurement controlled by a system computer and a sequence controller;
an input unit allowing entry of at least one boundary condition for said magnetic resonance tomography measurement into one of said sequence controller and said system computer;
said one of said sequence controller and said system computer, dependent on said at least one boundary condition, calculating a sampling path, having a non-predefined curve shape, for a k-matrix of said magnetic resonance tomography measurement by a calculus of variations calculation that includes forming a Hamilton function; and
said one of said sequence controller and said system computer determining gradient current curves in said magnetic resonance tomography measurement which produce the calculated sampling path when respectively applied to said gradient coils of said magnetic resonance tomography apparatus. - View Dependent Claims (19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34)
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35. A method for calculating a sampling path of a k-matrix obtained using a magnetic resonance tomography apparatus having gradient coils operated by sequence controller and a system computer, comprising the steps of:
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entering at least one boundary condition for a magnetic resonance tomography measurement into one of said sequence controller and said system computer of said magnetic resonance tomography apparatus;
dependent on said at least one boundary condition, calculating a sampling path, unconstrained by a predefined curve shape, for a k-matrix of said magnetic resonance tomography measurement in one of said sequence controller and said system computer by a calculus of variations calculation that includes forming a Hamilton function; and
in one of said sequence controller and said system computer, determining gradient current curves in said magnetic resonance measurement which produce the calculated sampling path when respectively applied to said gradient coils of said magnetic resonance tomography apparatus.
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36. A magnetic resonance apparatus, comprising:
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a magnetic resonance scanner, having a plurality of gradient coils, for executing a magnetic resonance tomography measurement controlled by a system computer and a sequence controller;
an input unit allowing entry of at least one boundary condition for said magnetic resonance tomography measurement into one of said sequence controller and said system computer;
said one of said sequence controller and said system computer, dependent on said at least one boundary condition, calculating a sampling path, unconstrained by a predefined curve shape, for a k-matrix of said magnetic resonance tomography measurement by a calculus of variations calculation that includes forming a Hamilton function; and
said one of said sequence controller and said system computer determining gradient current curves in said magnetic resonance tomography measurement which produce the calculated sampling path when respectively applied to said gradient coils of said magnetic resonance tomography apparatus.
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Specification