Novel Diffusion-Based Models for Image Restoration and Interpolation

by Tudor Barbu

Overview

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.

Product Details

ISBN-13:	9783030065669
Publisher:	Springer International Publishing
Publication date:	01/18/2019
Series:	Signals and Communication Technology
Edition description:	Softcover reprint of the original 1st ed. 2019
Pages:	126
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

Introduction.- Linear PDE-based Image Denoising Schemes.- Nonlinear Diffusion-based Image Restoration Models.- Variational and PDE Models for Image Interpolation.- Conclusions

Editorial 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)

From the Publisher