**Commenced**in January 2007

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**Edition:**International

**Paper Count:**31515

##### Blind Image Deconvolution by Neural Recursive Function Approximation

**Authors:**
Jiann-Ming Wu,
Hsiao-Chang Chen,
Chun-Chang Wu,
Pei-Hsun Hsu

**Abstract:**

This work explores blind image deconvolution by recursive function approximation based on supervised learning of neural networks, under the assumption that a degraded image is linear convolution of an original source image through a linear shift-invariant (LSI) blurring matrix. Supervised learning of neural networks of radial basis functions (RBF) is employed to construct an embedded recursive function within a blurring image, try to extract non-deterministic component of an original source image, and use them to estimate hyper parameters of a linear image degradation model. Based on the estimated blurring matrix, reconstruction of an original source image from a blurred image is further resolved by an annealed Hopfield neural network. By numerical simulations, the proposed novel method is shown effective for faithful estimation of an unknown blurring matrix and restoration of an original source image.

**Keywords:**
Blind image deconvolution,
linear shift-invariant(LSI),
linear image degradation model,
radial basis functions (rbf),
recursive function,
annealed Hopfield neural networks.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1333965

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