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1. WO1997042592 - TOMOGRAPHIE MULTIDIMENSIONNELLE A ONDELETTES

Note: Texte fondé sur des processus automatiques de reconnaissance optique de caractères. Seule la version PDF a une valeur juridique

[ EN ]
AMENDED CLAIMS
[received by the International Bureau on 25 November 1997 (25.11.97); original claims 1-17 cancelled; new claims 18-20 added (4 pages]

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17. CANCELED, 18. (New) A method for performing multidimensional wavelet tomography, said method comprising the steps of:
a) iteratively projecting a multi-dimensional original image so as to produce a plurality of one- dimensional projections thereof;
b) performing wavelet decomposition upon the one-dimensional projections to form a plurality of subimages thereof, the step of performing wavelet decomposition comprising:
i) convolving the one-dimensional projections to form a scale filtered subimage and a wavelet filtered image; and
ii) downsampling the scale filtered subimage and the wavelet filtered subimage;
iii) wherein steps (i) and (ii) are iterated to obtain a desired resolution;
c) reconstructing a desired portion of the original image from at least one of said subimages, the step of reconstructing a desired portion of the original image comprising back projection filtering the wavelet decomposed one-dimensional projections, back projection filtering comprising:
i) upsampling a scale filtered subimage and a wavelet filtered image;
ii) convolving the upsampled scale filtered image and wavelet filtered image; and
iii) combining the convolved upsampled scale filtered image and wavelet filtered image.
19. (New) A method for performing multidimensional wavelet tomography, said method comprising the steps of:
a) iteratively projecting a multi-dimensional original image so as to produce a plurality of one- dimensional projections thereof;

b) performing wavelet decomposition upon the one-dimensional projections to form a plurality of subimages thereof, the step of performing wavelet decomposition comprising:
i) performing wavelet decomposition upon a two-dimensional array of one- dimensional projections in a first direction to form first scale and wavelet images;
ii) transposing the first scale and wavelet images; and
iii) performing wavelet decomposition upon the transposed first scale and wavelet images to form a horizontal scale vertical scale subimage, a horizontal scale vertical wavelet subimage, a horizontal wavelet vertical scale subimage, and a horizontal wavelet vertical wavelet subimage;
c) wherein such wavelet decomposition facilitates segmentation and reconstruction of a selected portion of the original image.
20. (New) A method for performing multidimensional wavelet tomography, said method comprising the steps of :
a) iteratively projecting a multi-dimensional original image so as to produce a plurality of one- dimensional projections thereof;
b) performing wavelet decomposition upon the one-dimensional projections to form a plurality of subimages thereof;
c) reconstructing a desired portion of the original image from at least one of said subimages, the step of reconstructing a desired portion of the original image comprising:
i) transposing a horizontal scale vertical scale subimage, horizontal scale vertical wavelet subimage, horizontal wavelet -37- vertical scale subimage, and a horizontal wavelet vertical wavelet subimage;
ii) performing one-dimensional recomposition upon the transposed horizontal scale vertical scale subimage and the transposed horizontal scale vertical scale subimage and the transposed horizontal scale vertical wavelet subimage to form a first recomposed image and performing one-dimensional recomposition upon the transposed horizontal wavelet vertical scale subimage and the transposed horizontal wavelet vertical wavelet subimage to form a second recomposed image ;
iii) transporting the first and second recomposed images, to form a horizontal scale image and a horizontal wavelet image, respectively; and
iv) performing one-dimensional recomposition upon the horizontal scale image and the horizontal wavelet image to form a reconstructed image.

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STATEMENT UNDER ARTICLE 19

The claims have been amended to conform to the claims as they are presently allowed in the corresponding United States patent application. All of the references cited under Section C (DOCUMENTS TO BE CONSIDERED RELEVANT) of the International Search Report were considered by the Examiner in the allowance of these claims in the corresponding United States patent application.