Super resolution methods for electro-optical systems
First Claim
1. In an optical system having a detector means and processor means in which imaging data is obtained comprising noisy blurred scene data containing an object to be reconstructed, and noisy blurred background data of the same scene, a method for increasing the spatial resolution of the imaging data produced by the optical system for providing an image of higher resolution, comprising the steps of:
- converting the imaging data into a first matrix;
regularizing the first matrix by performing nth order Tikhonov regularization to the first matrix to provide a regularized pseudo-inverse (RPI) matrix; and
applying the RPI matrix to the first matrix to provide a reconstructed image of the object.
2 Assignments
0 Petitions
Accused Products
Abstract
In an optical system having a detector means and processor means in which imaging data is obtained comprising noisy blurred scene data containing an object to be reconstructed, and noisy blurred background data of the same scene, a method for increasing the spatial resolution of the imaging data produced by the optical system, comprising the steps of converting the imaging data into a first matrix, regularizing the first matrix by performing nth order Tikhonov regularization to the first matrix to provide a regularized pseudo-inverse (RPI) matrix and applying the RPI matrix to the first matrix to provide a reconstructed image of the object.
-
Citations
21 Claims
-
1. In an optical system having a detector means and processor means in which imaging data is obtained comprising noisy blurred scene data containing an object to be reconstructed, and noisy blurred background data of the same scene, a method for increasing the spatial resolution of the imaging data produced by the optical system for providing an image of higher resolution, comprising the steps of:
-
converting the imaging data into a first matrix;
regularizing the first matrix by performing nth order Tikhonov regularization to the first matrix to provide a regularized pseudo-inverse (RPI) matrix; and
applying the RPI matrix to the first matrix to provide a reconstructed image of the object. - View Dependent Claims (2, 3, 4)
-
-
5. A method for substantially increasing the spatial resolution of imaging data produced by an optical system, comprising the steps of:
-
converting the imaging data into a first matrix g1, comprising background data and object of interest data, and a second matrix g2 comprising background data;
subtracting the second matrix g2 from the first matrix g1 to obtain a third matrix g3 indicative of the difference between the first and second matrices, specifying a position and size of an object of interest in the third matrix g3;
extracting from the third matrix g3 a segment having coordinates which completely include a blurred version of the object of interest;
performing nth order Tikhonov regularization on each such extracted segment and said second matrix to restore the segment, adding such restored segments, and extracting an area of the added restored segments containing an object of interest to obtain restored image data containing a restored object of interest. - View Dependent Claims (6, 7, 8, 9, 10)
-
-
11. In an optical system having a detector means and processor means in which image data is obtained comprising noisy blurred scene data containing an object to be reconstructed, and noisy blurred background data of the same scene, an apparatus for increasing the spatial resolution of the imaging data produced by the optical system for providing an image of higher resolution, comprising:
-
means for converting the imaging data into a first matrix;
means for regularizing the first matrix by performing nth order Tikhonov regularization to the first matrix to provide a regularized pseudo-inverse (RPI) matrix; and
means for applying the RPI matrix to the first matrix to provide a reconstructed image of said object. - View Dependent Claims (12, 13, 14, 15)
-
-
16. An apparatus for substantially increasing the spatial resolution of imaging data produced by an optical system comprising:
-
means for converting the imaging data into a first matrix g1 comprising background data and object of interest data, and a second matrix g2 comprising background data;
means for subtracting the second matrix g2 from the first matrix g1 to obtain a third matrix g3 indicative of the difference between said first and second matrices;
means for specifying a position and a size of an object of interest in the third matrix g3;
means for extracting from the third matrix at least a segment having coordinates which completely include a blurred version of the object of interest; and
means for performing nth order Tikhonov regularization on each such extracted segment and said second matrix to restore the segment, adding said restored segments, and extracting an area of added restored segments containing the object of interest to obtain the restored image data containing a restored object of interest. - View Dependent Claims (17, 18, 19, 20, 21)
-
Specification