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Related Concept Videos

Aliasing01:18

Aliasing

278
Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original...
278
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

394
Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
394
Downsampling01:20

Downsampling

293
When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
293
Upsampling01:22

Upsampling

346
Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
346
Deconvolution01:20

Deconvolution

285
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...
285

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BIGPrior: Toward Decoupling Learned Prior Hallucination and Data Fidelity in Image Restoration.

Majed El Helou, Sabine Susstrunk

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |January 26, 2022
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    Summary

    We introduce Bayesian Integration of a Generative Prior (BIGPrior), a novel framework for image restoration. BIGPrior decouples network priors from data fidelity, improving restoration quality and reducing hallucinations in deep learning models.

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    Area of Science:

    • Computer Vision
    • Machine Learning
    • Image Processing

    Background:

    • Classic image restoration relies on hand-designed priors, limiting performance.
    • Deep learning excels but introduces unpredictable hallucinations, hindering adoption.
    • Existing methods struggle to separate original data from network-generated content.

    Purpose of the Study:

    • To develop a novel image restoration framework that overcomes limitations of deep learning.
    • To decouple network-prior based hallucination from data fidelity terms.
    • To generalize classic restoration algorithms using a Bayesian approach.

    Main Methods:

    • Introducing the Bayesian Integration of a Generative Prior (BIGPrior) framework.
    • Utilizing network inversion to extract image prior information from generative networks.
    • Decoupling hallucination and data fidelity terms within a Bayesian framework.

    Main Results:

    • BIGPrior consistently improves inversion results in image colorization, inpainting, and denoising.
    • The framework achieves competitive performance against state-of-the-art supervised methods.
    • BIGPrior provides a novel metric for pixel-wise prior reliance versus data fidelity.

    Conclusions:

    • BIGPrior offers a robust and generalizable approach to image restoration.
    • The method effectively reduces hallucinations while maintaining data fidelity.
    • BIGPrior represents a significant advancement in integrating deep learning priors with classic restoration techniques.