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Novel Diffusion-Based Models for Image Restoration and Interpolation

  • Book
  • © 2019

Overview

Authors:
  1. Tudor Barbu

    1. Institute of Computer Science Romanian Academy, Iasi, Romania

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  • Covers both theoretical and applied aspects of image processing and analysis
  • Provides valuable teaching and training resources for students and senior researchers in areas such as pattern recognition, computer vision, and computational imaging
  • Describes state-of-the-art PDE-based image restoration and inpainting techniques

Part of the book series: Signals and Communication Technology (SCT)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Introduction

    • Tudor Barbu
    Pages 1-6

  3. Linear PDE-Based Image Denoising Schemes

    • Tudor Barbu
    Pages 7-24

  4. Nonlinear Diffusion-Based Image Restoration Models

    • Tudor Barbu
    Pages 25-82

  5. Variational and PDE Models for Image Interpolation

    • Tudor Barbu
    Pages 83-122

  6. Conclusions

    • Tudor Barbu
    Pages 123-126
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Keywords

About this book

This book covers two essential PDE-based image processing fields: image denoising and image inpainting. It describes the state-of-the-art PDE-based image restoration and interpolation (inpainting) techniques, focusing on the latest advances in PDE-based image processing and analysis, and explores novel techniques involving diffusion-based models and variational schemes. The PDE and variational schemes clearly outperform the conventional approaches in these areas, and can successfully remove image noise and reconstruct missing or highly degraded regions, while preserving the essential features and avoiding unintended effects. The book addresses researchers and graduate students, but is also well suited for professionals in both the mathematics and electrical engineering domains, as it provides rigorous mathematical investigations of the image processing models described, as well as mathematical treatments for the numerical approximation schemes of these differential models.   

Reviews

“This concise, well-written monograph presents state-of-the art of nonlinear PDE-based filtering methods and image impainting techniques. … The book can be recommended to students and scientists working in the area of mathematics, computer science and electrical engineering. The readers of the book should have a basic knowledge in PDEs, numerical analysis and digital image processing.” (Wiesław Kotarski, zbMath 1411.94001, 2019)

Authors and Affiliations

  • Institute of Computer Science Romanian Academy, Iasi, Romania

    Tudor Barbu

Bibliographic Information

  • Book Title: Novel Diffusion-Based Models for Image Restoration and Interpolation

  • Authors: Tudor Barbu

  • Series Title: Signals and Communication Technology

  • DOI: https://doi.org/10.1007/978-3-319-93006-0

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2019

  • Hardcover ISBN: 978-3-319-93005-3Published: 12 July 2018

  • Softcover ISBN: 978-3-030-06566-9Published: 19 January 2019

  • eBook ISBN: 978-3-319-93006-0Published: 02 July 2018

  • Series ISSN: 1860-4862

  • Series E-ISSN: 1860-4870

  • Edition Number: 1

  • Number of Pages: VIII, 126

  • Number of Illustrations: 23 b/w illustrations, 8 illustrations in colour

  • Topics: Image Processing and Computer Vision, Partial Differential Equations, Computational Intelligence

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