Problem 1186. 2D - Mean Filter

Created by Michael A.

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Assume you are given an \"image\" matrix of size NxM. Reduce the image noise by implementing a mean filter window of size 9 (a 3x3 averaging window). The image matrix will have integer elements from 0 to 255 (to reflect 8 bits of resolution).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The averaging window is a square matrix of odd size where the center element (pixel) is the one that is being operated on. Replace the center pixel with the average of the pixels the matrix window encompasses. This is accomplished for every pixel. The output should be the filtered image matrix. Each average should be rounded to the nearest integer</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Note: If the window filter overlaps the edge of an image use zero (0) for missing values</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Operating on the first element of matrix</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ [1  2  3  4  5; 6  7  8  9  10; 11 12 13 14 15]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>would have the window:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ [0 0 0; 0 1 2; 0 6 7]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>this will result in:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ B(1,1) = 2]]></w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

132 Solutions
43 Solvers

Last Solution submitted on Apr 16, 2021

Last 200 Solutions

Problem Comments

Solution Comments

Solution 187504

1 Comment

1 Comment

J.R.! Menzinger on 7 Jan 2013

:-P

Problem Recent Solvers43

Problem Tags

2d mean filter

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!