Mathematical Image Processing

  • Kristian Bredies
  • Dirk Lorenz

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Kristian Bredies, Dirk Lorenz
    Pages 1-13
  3. Kristian Bredies, Dirk Lorenz
    Pages 15-53
  4. Kristian Bredies, Dirk Lorenz
    Pages 55-108
  5. Kristian Bredies, Dirk Lorenz
    Pages 109-170
  6. Kristian Bredies, Dirk Lorenz
    Pages 171-250
  7. Kristian Bredies, Dirk Lorenz
    Pages 251-443
  8. Back Matter
    Pages 445-473

About this book


This book addresses the mathematical aspects of modern image processing methods, with a special emphasis on the underlying ideas and concepts. It discusses a range of modern mathematical methods used to accomplish basic imaging tasks such as denoising, deblurring, enhancing, edge detection and inpainting. In addition to elementary methods like point operations, linear and morphological methods, and methods based on multiscale representations, the book also covers more recent methods based on partial differential equations and variational methods.

Review of the German Edition: The overwhelming impression of the book is that of a very professional presentation of an appropriately developed and motivated textbook for a course like an introduction to fundamentals and modern theory of mathematical image processing. Additionally, it belongs to the bookcase of any office where someone is doing research/application in image processing. It has the virtues of a good and handy reference manual. (zbMATH, reviewer: Carl H. Rohwer, Stellenbosch)


interpolation image processing fourier analysis interpolation smoothing and sharpening methods image

Authors and affiliations

  • Kristian Bredies
    • 1
  • Dirk Lorenz
    • 2
  1. 1.Institute for Mathematics and ScientificUniversity of GrazGrazAustria
  2. 2.BraunschweigGermany

Bibliographic information

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