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Deconvolution01:20

Deconvolution

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Deconvolution, also known as inverse filtering, is the process of extracting the impulse response from known input and output signals. This technique is vital in scenarios where the system's characteristics are unknown, and they must be inferred from the observable signals.
Deconvolution involves several mathematical techniques to derive the impulse response. One common approach is polynomial division. In this method, the input and output sequences are treated as coefficients of...
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Deep-blur: Blind identification and deblurring with convolutional neural networks.

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  • 1Departement Mathematics and computer science, Basel University, Basel, Switzerland.

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Area of Science:

  • Computer Vision
  • Machine Learning
  • Image Processing

Background:

  • Image deblurring from a single degraded image is a challenging problem in computer vision.
  • Estimating the blurring operator (point spread function) is crucial for effective deblurring.
  • Existing methods often struggle with noise and complex, space-varying blurring operators.

Purpose of the Study:

  • To develop a novel neural network architecture for estimating blurring operators.
  • To enable robust image deblurring using the estimated operator from a single image.
  • To improve deblurring performance compared to current state-of-the-art methods.

Main Methods:

  • Proposed a neural network architecture and training procedure to estimate blurring operators.
  • Parameterized forward operators using low-dimensional vectors, including Zernike polynomials and product-convolution expansions for space-varying operators.
  • Utilized the estimated operator as input for an unrolled neural network for image deblurring.

Main Results:

  • Accurate and robust recovery of blur parameters demonstrated, even under high noise levels.
  • Achieved signal-to-noise ratios for recovered point spread functions ranging from 13 dB (noiseless) to 8 dB (high noise).
  • Outperformed alternative methods perceptually and in terms of Structural Similarity Index Measure (SSIM).

Conclusions:

  • The proposed method effectively estimates blurring operators and deblurs images from a single degraded input.
  • The approach demonstrates superior performance and robustness against noise compared to existing techniques.
  • The algorithm offers fast processing speeds on consumer hardware without requiring human interaction post-setup.