© 2019

Novel Diffusion-Based Models for Image Restoration and Interpolation


  • 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 Signals and Communication Technology book series (SCT)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Tudor Barbu
    Pages 1-6
  3. Tudor Barbu
    Pages 123-126

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.   


Image processing and analysis Computer Vision Partial Differential Equations Image Denoising and Restoration Nonlinear Diffusion-based Models Image Understanding PDE-based image processing Image inpainting Interpolation techniques

Authors and affiliations

  1. 1.Institute of Computer Science Romanian AcademyIasiRomania

Bibliographic information

  • Book Title Novel Diffusion-Based Models for Image Restoration and Interpolation
  • Authors Tudor Barbu
  • Series Title Signals and Communication Technology
  • Series Abbreviated Title Signals, Communication Technology
  • DOI
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-319-93005-3
  • Softcover ISBN 978-3-030-06566-9
  • eBook ISBN 978-3-319-93006-0
  • 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
  • Buy this book on publisher's site
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“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)