Method and apparatus for reconstruction of non-uniformly sampled data

An apparatus for reconstructing non-uniformly sampled data to create an image, the apparatus comprising:

• a first buffer configured to store a newly acquire partial data set, said newly acquired partial data set including a vector of non-uniformly sampled data at k-space positions, said first buffer being further configured to output a previously acquired partial data set at said k-space positions;
• a first summing device operably coupled to said first buffer, said first summing device being configured to subtract said previously acquired partial data set from said newly acquired partial data set to create a difference vector;
• a gridding processor operably coupled to said first summing device, said gridding processor being configured to interpolate non-uniformly sampled data in said difference vector onto a uniformly spaced grid to create a difference matrix;
• a second summing device operably coupled to said gridding processor, said second summing device being configured to add said difference matrix to a frame of previously gridded data to create a new frame of gridded data;
• a second buffer operably coupled to said second summing device, said second buffer being configured to store said new frame of gridded data and output said frame of previously gridded data;
• and
• a fast Fourier transform device operably coupled to said second summing device, said fast Fourier transform device being configured to transform said new frame to create the image.

A storage medium encoded with machine-readable computer program code for reconstructing non-uniformly sampled data to create an image, the storage medium including instructions for causing a computer to implement a method comprising:

• receiving a new partial data set, said new partial data set including a vector of non-uniformly sampled data at k-space positions;
• subtracting an old partial data set at said k-space positions from said new partial data set to create a difference vector;
• gridding said difference vector to create a difference matrix;
• adding said difference matrix to a frame of previously gridded data to create a new frame;
• and
• transforming said new frame to create the image.

An apparatus for reconstructing non-uniformly sampled data to create an image, the apparatus comprising:

• means for subtracting a previously acquired partial data set at k-space positions from a newly acquired partial data set at said k-space positions to create a difference vector;
• means for interpolating non-uniformly sampled data in said difference vector onto a uniformly spaced grid to create a difference matrix;
• means for adding said difference matrix to a frame of previously gridded data to create a new frame of gridded data;
• and
• means for transforming said new frame to create the image.

A medical imaging device including:

• a computer;
• and
• a storage medium operably coupled to said computer, said storage medium encoded with machine-readable computer program code for reconstructing non-uniformly sampled data to create an image, the storage medium including instructions for causing a computer to implement a method comprising:
• receiving a new partial data set, said new partial data set including a vector of non-uniformly sampled data at k-space positions;
• subtracting an old partial data set at said k-space positions from said new partial data set to create a difference vector;
• gridding said difference vector to create a difference matrix;
• adding said difference matrix to a frame of previously gridded data to create a new frame;
• and
• transforming said new frame to create the image.