WO1999053440A3 - Algebraic reconstruction of images from non-equidistant data - Google Patents

Algebraic reconstruction of images from non-equidistant data Download PDF

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Publication number
WO1999053440A3
WO1999053440A3 PCT/IL1999/000199 IL9900199W WO9953440A3 WO 1999053440 A3 WO1999053440 A3 WO 1999053440A3 IL 9900199 W IL9900199 W IL 9900199W WO 9953440 A3 WO9953440 A3 WO 9953440A3
Authority
WO
WIPO (PCT)
Prior art keywords
spatial distribution
resampling
data
images
algebraic reconstruction
Prior art date
Application number
PCT/IL1999/000199
Other languages
French (fr)
Other versions
WO1999053440A2 (en
Inventor
Daniel Rosenfeld
Original Assignee
Ge Medical Systems Mr Israel
Daniel Rosenfeld
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Ge Medical Systems Mr Israel, Daniel Rosenfeld filed Critical Ge Medical Systems Mr Israel
Priority to US09/445,833 priority Critical patent/US6748098B1/en
Publication of WO1999053440A2 publication Critical patent/WO1999053440A2/en
Publication of WO1999053440A3 publication Critical patent/WO1999053440A3/en
Priority to US10/743,489 priority patent/US7076091B2/en

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T3/00—Geometric image transformation in the plane of the image
    • G06T3/40—Scaling the whole image or part thereof
    • G06T3/4007—Interpolation-based scaling, e.g. bilinear interpolation

Abstract

A method of resampling medical imaging data from a first spatial distribution of data points onto a second spatial distribution of data points, including determining a matrix of reverse interpolation coefficients for resampling data from said second spatial distribution onto said first spatial distribution, inverting a matrix based on said reverse interpolation matrix to determine forward resampling coefficients for resampling data from said first spatial distribution to said second spatial distribution, and resampling data from said first spatial distribution onto said second spatial distribution using said forward resampling coefficients.
PCT/IL1999/000199 1998-04-14 1999-04-14 Algebraic reconstruction of images from non-equidistant data WO1999053440A2 (en)

Priority Applications (2)

Application Number Priority Date Filing Date Title
US09/445,833 US6748098B1 (en) 1998-04-14 1999-04-14 Algebraic reconstruction of images from non-equidistant data
US10/743,489 US7076091B2 (en) 1998-04-14 2003-12-22 Algebraic reconstruction of images from non-equidistant data

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US8164298P 1998-04-14 1998-04-14
US60/081,642 1998-04-14

Related Child Applications (2)

Application Number Title Priority Date Filing Date
US09/445,833 A-371-Of-International US6748098B1 (en) 1998-04-14 1999-04-14 Algebraic reconstruction of images from non-equidistant data
US10/743,489 Division US7076091B2 (en) 1998-04-14 2003-12-22 Algebraic reconstruction of images from non-equidistant data

Publications (2)

Publication Number Publication Date
WO1999053440A2 WO1999053440A2 (en) 1999-10-21
WO1999053440A3 true WO1999053440A3 (en) 2000-03-02

Family

ID=22165446

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/IL1999/000199 WO1999053440A2 (en) 1998-04-14 1999-04-14 Algebraic reconstruction of images from non-equidistant data

Country Status (1)

Country Link
WO (1) WO1999053440A2 (en)

Families Citing this family (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6735539B2 (en) * 2001-10-31 2004-05-11 Agilent Technologies, Inc. Fourier transform for timestamped network data
US6975751B2 (en) 2002-05-17 2005-12-13 The Board Of Trustees Of The Leland Stanford Junior University Method and apparatus for reconstruction of non-uniformly sampled data
US7277597B2 (en) * 2003-06-17 2007-10-02 The Board Of Trustees Of The Leland Stanford Junior University Partial k-space reconstruction for radial k-space trajectories in magnetic resonance imaging
US7590306B2 (en) * 2003-11-26 2009-09-15 Ge Medical Systems Global Technology Company, Llc Resolution adaptive image filtering system and method
US7362843B2 (en) * 2004-09-23 2008-04-22 General Electric Company System and method for reconstruction of cone beam tomographic projections with missing data

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4982162A (en) * 1989-07-14 1991-01-01 Advanced Nmr Systems, Inc. Method for reconstructing MRI signals resulting from time-varying gradients
US5352981A (en) * 1991-11-27 1994-10-04 Kabushiki Kaisha Toshiba High-resolution image reconstruction method for MRI
EP0889330A1 (en) * 1997-04-17 1999-01-07 Picker International, Inc. Algebraic reconstruction of magnetic resonance images from non-equidistant k-space data

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4982162A (en) * 1989-07-14 1991-01-01 Advanced Nmr Systems, Inc. Method for reconstructing MRI signals resulting from time-varying gradients
US5352981A (en) * 1991-11-27 1994-10-04 Kabushiki Kaisha Toshiba High-resolution image reconstruction method for MRI
EP0889330A1 (en) * 1997-04-17 1999-01-07 Picker International, Inc. Algebraic reconstruction of magnetic resonance images from non-equidistant k-space data

Non-Patent Citations (5)

* Cited by examiner, † Cited by third party
Title
ADORF H -M: "Interpolation of irregularly sampled data series-a survey", ASTRONOMICAL DATA ANALYSIS SOFTWARE AND SYSTEMS IV MEETING, BALTIMORE, MD, USA, 25-28 SEPT. 1994, vol. 77, Astronomical Society of the Pacific Conference Series, 1995, Astron. Soc. Pacific, USA, pages 460 - 463, XP002109261, ISSN: 1050-3390 *
KUHN J R: "Recovering spectral information from unevenly sampled data: two machine-efficient solutions", ASTRONOMICAL JOURNAL, JAN. 1982, USA, vol. 87, no. 1, pages 196 - 202, XP002109262, ISSN: 0004-6256 *
LIU H: "A FLEXIBLE TWO-DIMENSIONAL PHASE CORRECTION FOR INTERLEAVED ECHO- PLANAR IMAGING RECONSTRUCTION", JOURNAL OF APPLIED PHYSICS, vol. 83, no. 11, PART 02, 1 June 1998 (1998-06-01), pages 6846 - 6848, XP000777252, ISSN: 0021-8979 *
MILOVANOVIC I Z ET AL: "A direct method for BBD matrix inversion", KIBERNETIKA I SISTEMNYI ANALIZ, MARCH-APRIL 1994, UKRAINE, vol. 30, no. 2, pages 51 - 64, XP002109260 *
STERITI R J ET AL: "REGULARIZED IMAGE RECONSTRUCTION USING SVD AND A NEURAL NETWORK METHOD FOR MATRIX INVERSION", IEEE TRANSACTIONS ON SIGNAL PROCESSING, vol. 41, no. 10, 1 October 1993 (1993-10-01), pages 3074 - 3077, XP000404073, ISSN: 1053-587X *

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Publication number Publication date
WO1999053440A2 (en) 1999-10-21

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