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Digital Image Processing: Filter Design
Author

Wolfram Research, Inc.
Organization: Wolfram Research, Inc.
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Champaign, IL 61820
Phone: (217) 398-0700
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Email: infocenter@wolfram.com
URL: http://www.wolfram.com
Description

Digital Image Processing allows you to design custom FIR filters, both one and two-dimensional, and to solve even the hardest image filtering problems.

A common method of obtaining 2D filters is to obtain them indirectly by transforming 1D prototypes. The simplest method imposes rectangular symmetry on the resulting 2D filter by taking the outer product of two 1D filters. In order to obtain a circularly symmetric 2D filter from a 1D prototype, the common approach is to use the McClellan transformation also known as the frequency transformation. The resulting filters have good performance as well as circular symmetry. They have been shown to be optimal under a restricted set of conditions. Here we use the McClellan transformation to transform a 1D equiripple filter to a circularly symmetric 2D filter. The prototype filter is lowpass.
Subjects

*Engineering > Signal Processing
*Mathematica Technology > Application Packages > Wolfram Research Applications > Digital Image Processing
Keywords

custom FIR filters, image filtering problems, frequency transformation, EquirippleFilter
Related items

*Digital Image Processing   [in Courseware and Class Materials]
*Digital Image Processing   [in Conference Proceedings]
*Digital Image Processing Package   [in Conference Proceedings]
*Digital Image Processing: Automatic Color Image Segmentation   [in Demos]
*Digital Image Processing: Block Transform Coding   [in Demos]
*Digital Image Processing: Burt-Adelson Pyramid   [in Demos]
*Digital Image Processing: Color Image Modification   [in Demos]
*Digital Image Processing: Color Image Segmentation   [in Demos]
*Digital Image Processing: Comet Assay Analysis   [in Demos]
*Digital Image Processing: Edge Detection   [in Demos]
*Digital Image Processing: Intensity Profiles   [in Demos]
*Digital Image Processing: Linear Filtering   [in Demos]
*Digital Image Processing: Region-of-Interest Processing   [in Demos]
URL

http://library.wolfram.com/examples/filterdesign/
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FilterDesign.nb (349.9 KB) - Mathematica Notebook