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1. WO1996002851 - METHOD OF CARRYING OUT A FAST FOURIER TRANSFORMATION ON NUCLEAR RESONANCE SIGNALS IN ANY SIZE OF MATRIX

Publication Number WO/1996/002851
Publication Date 01.02.1996
International Application No. PCT/DE1995/000871
International Filing Date 05.07.1995
Chapter 2 Demand Filed 18.01.1996
IPC
G01R 33/56 2006.01
GPHYSICS
01MEASURING; TESTING
RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
33Arrangements or instruments for measuring magnetic variables
20involving magnetic resonance
44using nuclear magnetic resonance
48NMR imaging systems
54Signal processing systems, e.g. using pulse sequences
56Image enhancement or correction, e.g. subtraction or averaging techniques
CPC
G01R 33/56
GPHYSICS
01MEASURING; TESTING
RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
33Arrangements or instruments for measuring magnetic variables
20involving magnetic resonance
44using nuclear magnetic resonance [NMR]
48NMR imaging systems
54Signal processing systems, e.g. using pulse sequences ; , Generation or control of pulse sequences
56Image enhancement or correction, e.g. subtraction or averaging techniques ; , e.g. improvement of signal-to-noise ratio and resolution
G01R 33/5608
GPHYSICS
01MEASURING; TESTING
RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
33Arrangements or instruments for measuring magnetic variables
20involving magnetic resonance
44using nuclear magnetic resonance [NMR]
48NMR imaging systems
54Signal processing systems, e.g. using pulse sequences ; , Generation or control of pulse sequences
56Image enhancement or correction, e.g. subtraction or averaging techniques ; , e.g. improvement of signal-to-noise ratio and resolution
5608Data processing and visualization specially adapted for MR, e.g. for feature analysis and pattern recognition on the basis of measured MR data, segmentation of measured MR data, edge contour detection on the basis of measured MR data, for enhancing measured MR data in terms of signal-to-noise ratio by means of noise filtering or apodization, for enhancing measured MR data in terms of resolution by means for deblurring, windowing, zero filling, or generation of gray-scaled images, colour-coded images or images displaying vectors instead of pixels
Applicants
  • SIEMENS AKTIENGESELLSCHAFT [DE]/[DE] (AllExceptUS)
  • HEID, Oliver [DE]/[CH] (UsOnly)
Inventors
  • HEID, Oliver
Priority Data
P 44 25 727.920.07.1994DE
Publication Language German (DE)
Filing Language German (DE)
Designated States
Title
(DE) VERFAHREN ZUR SCHNELLEN FOURIER-TRANSFORMATION FÜR KERNRESONANZSIGNALE IN EINER BELIEBIGEN MATRIXGRÖSSE
(EN) METHOD OF CARRYING OUT A FAST FOURIER TRANSFORMATION ON NUCLEAR RESONANCE SIGNALS IN ANY SIZE OF MATRIX
(FR) PROCEDE DE REALISATION D'UNE TRANSFORMATION DE FOURIER RAPIDE APPLIQUEE A DES SIGNAUX DE RESONANCE NUCLEAIRE DANS UNE MATRICE DE DIMENSION QUELCONQUE
Abstract
(DE)
Eine Fourier-Transformation in einer Meßdatenmatrix (MD) mit den diskreten Meßdaten (xj,k) wird für alle k=O...N-1 jeweils in folgenden Schritten durchgeführt, wobei definiert ist: w=e-2i$g(p)/N; a) es erfolgt eine Multiplikation der Meßdaten (xj,k) mit einem Chirp (wj$(1,2)$/2); b) die entstehenden Daten werden mit einem zweiten Chirp (w-(j-k)$(1,2)$/2) gefaltet und in eine Hilfsdatenmatrix (HD) eingetragen; c) aus der Hilfsdatenmatrix (HD) wird durch Fourier-Transformation in wenigstens einer weiteren Richtung die Bilddatenmatrix gewonnen.
(EN)
A Fourier transformation in a measured data matrix (MD) with the discrete measured data (xj,k) is carried out for all values of k = (0... N-1) in the following steps (a condition being that w=e-2i$g(p)/N): (a) the measured data (xj,k) are multiplied using a chirp function (wj$(1,2)$/2); (b) the resulting data are folded using a second chirp function (w-(j-k)$(1,2)$/2) and entered into an auxiliary data matrix (HD); (c) the image data matrix is obtained from the auxiliary data matrix (HD) by Fourier transformation in at least one other direction.
(FR)
Une transformation de Fourier dans une matrice de données de mesure (MD) avec des données de mesures discrètes (xj,k) est réalisée pour toutes les valeurs k =0...N-1 selon les étapes suivantes, où il est défini que w=e-2i$g(p)/N: (a) les données de mesure (xj,k) sont multipliées au moyen d'un algorithme de Chirp (wj$(1,2)$/2); (b) les données obtenues sont pliées au moyen d'un second algorithme de Chirp (w-(j-k)$(1,2)$/2) et reportées dans une matrice de données auxiliaires (HD); (c) la matrice de données d'image est obtenue à partir de la matrice de données auxiliaires (HD) au moyen d'une transformation de Fourier dans au moins une autre direction.
Also published as
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