Handbook of Image and Video Processing, 2nd Edition

3.1

Basic Linear Filtering with Application to Image Enhancement

Alan C. Bovik,     The University of Texas at Austin

Scott T. Acton,     University of Virginia

1 Introduction

2 Impulse Response, Linear Convolution, and Frequency Response

3 Linear Image Enhancement

• Moving-Average Filter

• Ideal Low-Pass Filter

• Gaussian Filter

4 Discussion

References

1 Introduction

Linear system theory and linear filtering play central roles in digital image and video processing. Many potent techniques for modifying, improving, or representing digital visual data are expressed in terms of linear systems concepts. Linear filters are used for generic tasks such as image/video contrast improvement, denoising, and sharpening, as well as for more object- ...