Method and apparatus for processing data from a tomographic imaging system
First Claim
1. A method for processing data form a tomographic system to obtain an image of an object comprising the steps of (a) collecting tomographic data from a CT scan of said object;
- (b) processing said tomographic data to obtain sampled parallel beam data (c) computing modified wavelet and scaling filters; and
(d) processing said sampled parallel beam data using said modified wavelet and scaling filters to construct an image of said object.
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Abstract
An algorithm is created and applied to reconstruct the wavelet coefficients of an image from the Radon transform data for use in computed tomography, with a disclosed method that uses the properties of wavelets to localize the Radon transform such that a local region of the cross section of a body can be reconstructed using almost completely local data to significantly reduce the amount of exposure and computations in X-ray tomography. The described algorithm is based on the observation that for some wavelet bases with sufficiently many vanishing moments, the ramp-filtered version of the scaling function as well as the wavelet function has extremely rapid decay, with the variance of the elements of the nullspace is being negligible in the locally reconstructed image.
84 Citations
15 Claims
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1. A method for processing data form a tomographic system to obtain an image of an object comprising the steps of (a) collecting tomographic data from a CT scan of said object;
- (b) processing said tomographic data to obtain sampled parallel beam data (c) computing modified wavelet and scaling filters; and
(d) processing said sampled parallel beam data using said modified wavelet and scaling filters to construct an image of said object. - View Dependent Claims (2, 3, 4)
- (b) processing said tomographic data to obtain sampled parallel beam data (c) computing modified wavelet and scaling filters; and
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5. An apparatus for producing an image of a region contained within an object, said apparatus comprising:
- (a) a radiation source focusable on a region contained within an object and producing a focused radiation beam;
(b) a receptor means for receiving said radiation beam form said radiation source, said radiation beam having passed through said region positioned between said radiation source and said receptor;
(c) a converter means for converting said received radiation beam at the receptor to digitized data;
(d) a computer means connected to said converter means comprising data processing means for converting said digitized data into a visual image; and
(e) an output means connected to said computer means for displaying the output of said data processing means. - View Dependent Claims (6, 7, 8, 9, 10, 11)
- (a) a radiation source focusable on a region contained within an object and producing a focused radiation beam;
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12. An apparatus for producing an image of an object:
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(a) a radiation source producing a radiation beam; (b) a means for collecting data from said radiation source, wherein said data is collected after said radiation beam has passed through said object; (c) a first means for computing wavelet and scaling filters; (d) a second means for processing said data using wavelet and scaling filters effective to construct an image of said object; and (e) a display means for displaying an image said object. - View Dependent Claims (13, 14, 15)
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Specification