Chapter 5. Two-Dimensional Filters
Published Online: 17 OCT 2001
DOI: 10.1002/0470841907.ch5
Copyright © 1999 John Wiley & Sons, Ltd
Book Title
Image Processing: The Fundamentals
Additional Information
How to Cite
Petrou, M. and Bosdogianni, P. (2001) Two-Dimensional Filters, in Image Processing: The Fundamentals, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/0470841907.ch5
Publication History
- Published Online: 17 OCT 2001
ISBN Information
Print ISBN: 9780471998839
Online ISBN: 9780470841907
- Summary
- Chapter
Keywords:
- filter design;
- approximation theory;
- linear programming in filter design;
- IIR filters;
- FIR filters
Summary
Chapter 4 exposes the need for the development of filters which have various desired properties appropriate for images. This chapter covers techniques for 2D filter design so that one may develop filters that have response in preselected frequency bands, while they remain finite and thus appropriate for implementation by convolution. It covers issues like recursive versus non-recursive filters, filter stability to noise and measures of fidelity like the Chebyshev norm. It shows how the filter design problem may be formulated as a linear programming problem and discusses issues like limiting set of equations and La Vallee Poussin theorem.