Problem 839. Compute the dilation of a binary image

Created by Cris Luengo

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","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\"?><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>A basic operation in image analysis is the dilation. Given an image where each pixel is either on or off (black/white, true/false), and a neighbourhood, the result of the operation at one pixel is 'on' (white/true) if any of the pixels covered by the neighbourhood, when centred on that pixel, is 'on'.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Take for example a 3x3 neighbourhood. When centring it on any one pixel, it covers that pixel plus its 8 direct neighbours. If any of those 9 pixels is 'on' in the input, that pixel will be 'on' in the output. Looking at it in another way, any 'on' pixel in the input will cause all its 8 direct neighbours to be 'on' in the output.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Your task is to write an algorithm that takes a matrix with 1s and 0s, and computes the dilation. Do not use any toolbox functions, the test suite checks against them (don't use variable names containing things like 'dilate' or 'conv' or 'filt'!).</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

104 Solutions
48 Solvers

Last Solution submitted on Mar 09, 2023

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Dyuman Joshi on 16 Apr 2021

@Cris Luengo, filter2 is not a toolbox function, (I am not aware if it was earlier or not) and should be allowed now.

Solution Comments

Solution 117833

2 Comments

2 Comments

Jean-Marie Sainthillier on 29 Aug 2012

Strictly incomprehensible for me.
Well done :!

J.R.! Menzinger on 7 Dec 2012

Really nifty!! ;-)
Great shot.

Problem Recent Solvers48

Problem Tags

Community Treasure Hunt

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

Start Hunting!