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US 8,135,233 B2Granted
Method and apparatus for the restoration of degraded multi-channel images
AssigneeAptina Imaging Corporation
InventorDan Lelescu
Life of this patent
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Abstract
An imager and method for operating the imager. The imager comprises a pixel array for producing an image signal and an image processor configured to restore images degraded by inter-channel degradations and intra-channel degradations in all channels of the image simultaneously by diagonalizing an image degradation matrix and componentizing the diagonalized image degradation matrix and multi-channel image.
Claims7
An apparatus for restoring a degraded digital image, said apparatus comprising:
- an image processor configured to perform the steps of:
- transforming an image degradation matrix into a circulant matrix;
- applying a frequency transformation to the circulant matrix and a data vector to obtain a frequency domain solution for the restored image;
- componentizing the frequency domain solution to produce a plurality of frequency domain components;
- and
- processing each frequency domain component individually, wherein the frequency domain solution is componentized and represented by {circumflex over (F)}k=(Ωk*TΩk+λQk*TQk)−1Ωk*TGk where ΛH is a block diagonal matrix having on its diagonal multi-channel frequency response matrices, G is the data vector after the frequency transformation, Ωk represents a matrix in the diagonal the frequency transformed degradation matrix, λ is a scalar and Qk is an entry in a matrix Q containing a predetermined constraint kernel.
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An apparatus for restoring a degraded digital image, said apparatus comprising:
- an image processor configured to perform the steps of:
- transforming an image degradation matrix into a circulant matrix;
- applying a frequency transformation to the circulant matrix and a data vector to obtain a frequency domain solution for the restored image;
- componentizing the frequency domain solution to produce a plurality of frequency domain components;
- processing each frequency domain component individually, wherein the frequency domain solution is derived from a linear minimum mean square error criteria;
- constructing a noise correlation matrix and a signal correlation matrix;
- and
- applying the frequency transformation to the noise correlation matrix and the signal correlation matrix to obtain a frequency transformed noise matrix and a frequency transformed signal matrix, where the frequency domain solution has the form {circumflex over (F)}=ΛfΛH*T[ΛHΛfΛH*T+Λn]−1G, where Λf is the frequency transformed signal matrix, Λn is the frequency transformed noise matrix, ΛH is the frequency transformed degradation matrix and G is the frequency transformed data vector.
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Dependencies are inferred from the claim text.