US5553157A
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Method for the processing of the images of a batch of images
Assignee: Sopha Medical
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Filing: 1993-12-22
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Granted: 1996-09-03
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Expires: 2013-12-22
Abstract
Abstract The noise is eliminated from the images by carrying out a first Fourier transform of the images of an original batch of images. Each of these transformed images is then broken down into Fourier series to reveal the main harmonics of a periodic evolution of the original images and of the transformed images. This harmonic breakdown is used to recompose transformed images that are thus filtered by the abandoning of the non-useful harmonics. The filtered transformed images are used to carry out a reverse Fourier transform to obtain, ultimately, filtered original images. It is shown that the filtering in this case removes the noise without lowering the quality of the structures of the image, without distributing the noise among all these structures.
Inventors
- 👤 Michel Bourguignon
- 👤 Hafida Berrah
- 👤 Christoph Thol
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-11-01 21:08
CPC Classifications
G; G06; G06T; G06T5/00; G06T5/70; G06T5/10; G06T5/50; G06T2207/00; G06T2207/10; G06T2207/10116; G06T2207/10128; G06T2207/20; G06T2207/20048; G06T2207/20056
Claims Analysis
Total Claims: 23
Claim 1
Independent Claim
144 words
A method for the processing of the images of an original batch of N images having at least two spatial dimensions, to remove the noise therefrom, the N images of this batch representing N states of a periodic phenomenon, wherein said method comprises the following steps: a 2D spatial analytic transform is carried out on the images of the original batch to obtain a batch of N transformed images, each transformed image comprising a real part and an imaginary part; the N transformed images are time filtered by combining each image element of these transformed images with corresponding image elements in the other transformed images in order to obtain a batch of filtered transformed images, and a reverse 2D spatial analytic transform is carried out on the images of the batch of filtered transformed images to obtain a batch of N original filtered images.
Claim 2
Independent Claim
144 words
A method for the processing of the images of an original batch of N images having at least two spatial dimensions, to remove the noise therefrom, the N images of this batch representing N states of a periodic phenomenon, wherein said method comprises the following steps: a 2D spatial analytic transform is carried out on the images of the original batch to obtain a batch of N transformed images, each transformed image comprising a real part and an imaginary part; the N transformed images are time filtered by combining each image element of these transformed images with corresponding image elements in the other transformed images in order to obtain a batch of filtered transformed images, and a reverse 2D spatial analytic transform is carried out on the images of the batch of filtered transformed images to obtain a batch of N original filtered images.
Claim 3
Dependent Claim
135 words
A method according to claim 1 wherein, for the filtering: there are carried out, for each collection of N points having same coordinates in these N real parts of the batch of N transformed images, harmonic breakdown operations limited to the M order harmonic of a periodic evolution of the images in the original batch of images; there are carried out, for each collection of N points having same coordinates in these N imaginary parts of the batch of N transformed images, harmonic breakdown operations limited to the M' order harmonic of a periodic evolution of the images in the original batch of images; there are thus obtained, for each collection of N points, 2M+1 image components; T harmonic recompositions are carried out by combining weightings of these 2M+1 components T times with different values.
Claim 4
Dependent Claim
10 words
A method according to claim 2, wherein T=N and/or M=M'.
Claim 5
Dependent Claim
17 words
A method according to claim 3, wherein M is substantially equal to the square root of N.
Claim 6
Dependent Claim
15 words
A method according to claim 4 wherein an apodization is carried out in the recomposition.
Claim 7
Dependent Claim
22 words
A method according to claim 5, wherein the batch of original images is obtained by composing sinograms of another batch of images.
Claim 8
Dependent Claim
40 words
A method according to claim 6 wherein, each of the original batch of images containing a useful accumulated part and a non-useful part surrounding this useful part, an image signal is cancelled for the image elements surrounding this non-useful part.
Claim 9
Dependent Claim
15 words
A method according to claim 7, wherein the analytic transform is a 2D Fournier transform.
Claim 10
Dependent Claim
28 words
A method according to claim 8, wherein the transformations and the filtering are done digitally to contribute an additional filtering effect, due to the truncations of the digitization.
Claim 11
Independent Claim
168 words
A method for the processing of the images of an original batch of N images having at least two spatial dimensions, to remove the noise therefrom, the N images of this batch representing N states of a periodic phenomenon, wherein said method comprises the following steps: a 2D spatial analytic transform is carried out on the images of the original batch to obtain a batch of N transformed images, each transformed image comprising a real part and an imaginary part; the N transformed images are time filtered by combining each image element of these transformed images with corresponding image elements in the other transformed images in order to obtain a batch of filtered transformed images, and wherein, for the filtering: there are carried out, for each collection of N points having same coordinates in these N real parts of the batch of N transformed images, time harmonic breakdown operations limited to the M order harmonic of a periodic evolution of the images in the original batch of images.
Claim 12
Independent Claim
168 words
A method for the processing of the images of an original batch of N images having at least two spatial dimensions, to remove the noise therefrom, the N images of this batch representing N states of a periodic phenomenon, wherein said method comprises the following steps: a 2D spatial analytic transform is carried out on the images of the original batch to obtain a batch of N transformed images, each transformed image comprising a real part and an imaginary part; the N transformed images are time filtered by combining each image element of these transformed images with corresponding image elements in the other transformed images in order to obtain a batch of filtered transformed images, and wherein, for the filtering: there are carried out, for each collection of N points having same coordinates in these N real parts of the batch of N transformed images, time harmonic breakdown operations limited to the M order harmonic of a periodic evolution of the images in the original batch of images.
Claim 13
Dependent Claim
36 words
The method of claim 10 further comprising the step of carrying out a reverse 2D analytic transform on the images of the batch of filtered transformed images to obtain a batch of N original filtered images.
Claim 14
Dependent Claim
84 words
The method of claim 10 wherein there are carried out, for each collection of N points having same coordinates in these N imaginary parts of the batch of N transformed images, harmonic breakdown operations limited to the M' order harmonic of a periodic evolution of the images in the original batch of images; there are thus obtained, for each collection of N points, 2M+1 image components; T harmonic recompositions are carried out by combining weightings of these 2M+1 components T times with different values.
Claim 15
Dependent Claim
10 words
A method according to claim 12, wherein T=N and/or M=M'.
Claim 16
Dependent Claim
17 words
A method according to claim 13, wherein M is substantially equal to the square root of N.
Claim 17
Dependent Claim
15 words
A method according to claim 14 wherein an apodization is carried out in the recomposition.
Claim 18
Independent Claim
200 words
A method for the processing of the images of an original batch of N images having at least two spatial dimensions, to remove the noise therefrom, the N images of this batch representing N states of a periodic phenomenon, wherein said method comprises the following steps: a 2D spatial analytic transform is carried out on the images of the original batch to obtain a batch of N transformed images, each transformed image comprising a real part and an imaginary part; the N transformed images are time filtered by combining each image element of these transformed images with corresponding image elements in the other transformed images in order to obtain a batch of filtered transformed images, and wherein, for the filtering: there are carried out, for each collection of N points having same coordinates in these N imaginary parts of the batch of N transformed images, time harmonic breakdown operations limited to the M' order harmonic of a periodic evolution of the images in the original batch of images; there are thus obtained, for each collection of N points, 2M+1 image components; T time harmonic recompositions are carried out by combining weightings of these 2M+1 components T times with different values.
Claim 19
Independent Claim
200 words
A method for the processing of the images of an original batch of N images having at least two spatial dimensions, to remove the noise therefrom, the N images of this batch representing N states of a periodic phenomenon, wherein said method comprises the following steps: a 2D spatial analytic transform is carried out on the images of the original batch to obtain a batch of N transformed images, each transformed image comprising a real part and an imaginary part; the N transformed images are time filtered by combining each image element of these transformed images with corresponding image elements in the other transformed images in order to obtain a batch of filtered transformed images, and wherein, for the filtering: there are carried out, for each collection of N points having same coordinates in these N imaginary parts of the batch of N transformed images, time harmonic breakdown operations limited to the M' order harmonic of a periodic evolution of the images in the original batch of images; there are thus obtained, for each collection of N points, 2M+1 image components; T time harmonic recompositions are carried out by combining weightings of these 2M+1 components T times with different values.
Claim 20
Dependent Claim
33 words
The method of claim 16 wherein a reverse 2D analytic transform in carried out on the images of the batch of filtered transformed images to obtain a batch of N original filtered images.
Claim 21
Dependent Claim
22 words
A method according to claim 17, wherein the batch of original images is obtained by composing sinograms of another batch of images.
Claim 22
Dependent Claim
40 words
A method according to claim 18 wherein, each of the original batch of images containing a useful accumulated part and a non-useful part surrounding this useful part, an image signal is cancelled for the image elements surrounding this non-useful part.
Claim 23
Dependent Claim
15 words
A method according to claim 19, wherein the analytic transform is a 2D Fourier transform.
References Cited (Backward Citations)
USPTO Annuity & Maintenance Windows
| Annuity Stage | Window Opens | Payment Deadline | Surcharge Period Until | Estimated Fee | Status |
|---|---|---|---|---|---|
| 3.5 Years (Year 4) | 1999-09-03 | 2000-03-04 | 2000-09-03 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 2003-09-03 | 2004-03-04 | 2004-09-03 | $3760.00 | Window Closed / Lapsed |
| 11.5 Years (Year 12) | 2007-09-03 | 2008-03-04 | 2008-09-03 | $7700.00 | Window Closed / Lapsed |