| 摘要 |
An alegebraic reconstruction matrix generator (90) generates an algebraic reconstruction matrix P. A gradient trajectory memory (94) contains elements kn which describe the k-space trajectory of a time-varying read gradient wave form. An A-matrix generator (96) generates a coefficient matrix A from the elements kn. A D-matrix generator (100) generates a diagonal matrix D having elements dn. Using the elements of matrices A and D, an H-matrix generator creates a matrix H. An inverter (110) inverts the matrix to obtain H-1. A transposer (112) transposes matrix A to obtain AT. A multiplication processor (114) combines H-1, AT, and D to obtain the algebraic reconstruction matrix P. A multiplication processor (122) then combines the matrix P and an array of image data lines b to generate an image matrix array X which is stored in an image memory (124). A one-dimensional column Fourier transform processor and associated memory (125) transforms and stores the image matrix array. A video processor (126) converts the image matrix array into an appropriate format for display on a video monitor (130). The image data sampling can be performed at previously unused portions of a read gradient wave form, thus reducing image acquisition time.
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