Data processing method in nuclear magnetic resonance measurement

A data processing method in nuclear magnetic resonance measurement, comprising the steps of:

• measuring nuclear magnetic resonance signals by a nuclear magnetic resonance measuring method in which measurement data arrays lined up on a time axis represent data of a space frequency domain, and obtaining discrete two-dimensional measurement data arrays lined up in matrix in a first rectangular region limited in first and second space frequency axis directions;
• determining the position of a point providing the greatest value of a function represented by each of said one-dimensional data arrays for each of a plurality of said first-dimensional data arrays in said first space frequency direction, and estimating the origin of said first space frequency axis;
• applying a high-pass filter using said origin as a reference to each of a plurality of said one-dimensional measurement data arrays;
• effecting data extrapolation to each of a plurality of said one-dimensional data arrays, to which said high-pass filter is applied, by a one-dimensional linear prediction analysis, and estimating two-dimensional data arrays in a second rectangular region expanded in said first space frequency axis direction relative to said first rectangular region;
• and
• effecting two-dimensional inverse Fourier transformation for said data arrays of said second rectangular region, and obtaining nuclear spin image data.

A data processing method in nuclear magnetic resonance measurement, comprising the steps of:

• measuring nuclear magnetic resonance signals by a nuclear magnetic resonance measuring method in which measurement data arrays lined up on a time axis represent data of a space frequency domain, and obtaining discrete two-dimensional measurement data arrays lined up in matrix in a first rectangular region limited in first and second space frequency axis directions;
• determining the position of a point providing the greatest value of a function represented by each of said one-dimensional data arrays for each of a plurality of said first-dimensional data arrays in said first space frequency direction, and estimating the origin of said first space frequency axis;
• applying a high-pass filter using said origin as a reference to each of a plurality of said one-dimensional measurement data arrays;
• effecting data extrapolation to each of a plurality of said one-dimensional data arrays, to which said high-pass filter is applied, by a one-dimensional linear prediction analysis, and estimating two-dimensional data arrays in a second rectangular region expanded in said first space frequency axis direction relative to said first rectangular region;
• effecting data extrapolation to each of a plurality of said one-dimensional data arrays in said second space frequency axis constituting said two-dimensional data arrays in said second rectangular region, by the one-dimensional linear prediction analysis, and estimating two-dimensional data arrays in a third rectangular region expanded in said second space frequency axis direction relative to said second rectangular region;
• and
• effecting two-dimensional inverse Fourier transformation to said data arrays of said third rectangular region, and obtaining nuclear spin image data.

A data processing method in nuclear magnetic resonance measurement, comprising the steps of:

• measuring nuclear magnetic resonance signals by a nuclear magnetic resonance measuring method in which measurement data arrays lined up on a time axis represent data of a space frequency domain, and obtaining discrete two-dimensional measurement data arrays lined up in matrix in a first rectangular region limited in first and second space frequency axis direction;
• effecting inverse Fourier transformation for said two-dimensional measurement data arrays in said second space frequency axis direction;
• determining the position of a point providing the greatest value of a function represented by each of a plurality of said one-dimensional data arrays in said first space frequency direction constituting said two-dimensional data arrays obtained by said inverse Fourier transformation, and estimating the origin of said first space frequency axis;
• applying a high-pass filter using said origin as a reference to each of a plurality of said one-dimensional measurement data arrays;
• effecting data extrapolation to each of a plurality of said one-dimensional data arrays, to which said high-pass filter is applied, by a one-dimensional linear prediction analysis, and estimating two-dimensional data arrays in a second rectangular region expanded in said first space frequency axis direction relative to said first rectangular region;
• and
• effecting inverse Fourier transformation to said two-dimensional data arrays in said second rectangular regions in said first frequency axis direction, and obtaining nuclear spin image data.

A data processing method in nuclear magnetic resonance measurement, comprising the steps of:

• measuring nuclear magnetic resonance signals by a nuclear magnetic resonance measuring method in which measurement data arrays lined up on a time axis represent data of a space frequency domain, and obtaining discrete two-dimensional measurement data arrays lined up in matrix in a first rectangular region limited in first and second space frequency axis directions;
• effecting inverse Fourier transformation for each of said two-dimensional measurement data arrays in said second space frequency axis direction;
• determining the position of a point providing, the greatest value of a function represented by each of a plurality of said one-dimensional data arrays in said first space frequency direction constituting said two-dimensional data arrays obtained by said inverse Fourier transformation, and estimating the origin of said first space frequency axis;
• applying a high-pass filter using said origin as a reference to each of a plurality of said one-dimensional measurement data arrays;
• effecting data extrapolation to each of a plurality of said one-dimensional data arrays, to which said high-pass filter is applied, by a one-dimensional linear prediction analysis;
• effecting inverse Fourier transformation for each of said two-dimensional data arrays in said second rectangular region in the direction of said first space frequency axis;
• effecting data prediction for each of a plurality of said one-dimensional data arrays in said second space frequency axis direction constituting said second two-dimensional data arrays obained by inverse Fourier transformation in said first space frequency axis, by the one-dimensional linear prediction analysis, and obtaining two-dimensional data arrays in a third rectangular region expanded in said second frequency axis direction relative to said second rectangular;
• and
• effecting inverse Fourier transformation for said data arrays in said third rectangular region in said second space frequency axis direction, and obtaining nuclear spin image data.