Problem 502. Would Homer Like It?
Given a matrix of ones and zeros, you must determine if there are any doughnuts present (would Homer Simpson like it?). A doughnut is a 4-connected region of ones completely enclosing a 4-connected region of zeros. You can assume that any regions of ones are either blobs (or genus 0) or doughnuts (genus 1). Thus if you find any hole in a region of ones, it is a doughnut. Also, there are no nested doughnuts.
Return true if any doughnuts are present, otherwise false.
Examples:
This is a doughnut:
1 1 1
1 0 1
1 1 1
Here is another doughnut:
0 0 0 1 1 1
0 1 1 1 0 1
0 0 1 0 0 1
0 0 1 1 1 1
This is not a doughnut:
0 1 0
1 0 1
0 1 0
because the ones are not 4-connected and so can't surround anything.
Solution Stats
Problem Comments
-
4 Comments
Show
1 older comment
Alfonso Nieto-Castanon
on 15 Mar 2012
mmm... the image processing toolbox seems to be available again?
Ned Gulley
on 16 Mar 2012
Oh! Thanks for pointing that out. It will disappear again shortly. Sorry about that.
Alfonso Nieto-Castanon
on 16 Mar 2012
Sounds good (it was too easy this way)
Ned Gulley
on 19 Mar 2012
Okay, we should be back to no-toolbox coding.
Solution Comments
Show commentsProblem Recent Solvers18
Suggested Problems
-
Select every other element of a vector
32967 Solvers
-
285 Solvers
-
Create matrix of replicated elements
378 Solvers
-
Rounding off numbers to n decimals
4504 Solvers
-
446 Solvers
More from this Author50
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!