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Decimate Polygon

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Decimate Polygon

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17 Jan 2012 (Updated )

Simplify a 2D closed, piecewise linear contour by specifying boundary offset tolerance.

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Description

Have you ever worked with 2D boundary shape representations and noticed that the same shape can be represented with reasonable accuracy by a much smaller number of points? Did you ever need to reduce the complexity of a 2D shape while retaining as many salient features as possible? If so then DecimatePoly is the function you have been looking for.

In the attached .ZIP folder you will find the primary, self-contained function titled DecimatePoly. Additionally, in the Demos folder you will find three demo files demonstrating the use of this function.

DecimatePoly_demo1: Demonstrates how to use DecimatePoly to simplify a 2D contour extracted from a binary image. Three binary images are included as examples. One of the them is shown in the screenshot. This is the only demo that requires Image Processing Toolbox to run.

DecimatePoly_demo2: Demonstrates the effectiveness of DecimatePoly in retaining sharp features.

DecimatePoly_demo3: Demonstrates how DecimatePoly can be used to improve time performance of in-polygon test at the cost of minor misclassification error.

Acknowledgements

This file inspired Mat Clust.

MATLAB release MATLAB 7.11 (R2010b)
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Comments and Ratings (8)
28 Jan 2013 Mattias Karlsson

Great function. It's nice that it is self contained too.

02 Aug 2012 Catarina

Hi Anton,
Your code was all I needed to solve problems in my codes due to too many useless points. Thanks a lot!

11 Jul 2012 Bjorn Gustavsson

Andrii, just out of curiosity, what would you want to get from: https://maps.google.co.uk/maps?q=guggenheim+museum+bilbao&hl=en&ll=43.268728,-2.933803&spn=0.001457,0.002902&sll=43.267445,-2.937035&sspn=0.002914,0.005804&t=h&hq=guggenheim+museum+bilbao&z=19

19 Jan 2012 Andrii

Thank you for the link.

19 Jan 2012 Anton Semechko

Not sure about Matlab implementation, but you can find C implementation if you follow the link provided on this page:
http://www.insight-journal.org/browse/publication/829

19 Jan 2012 Andrii

It is for building extraction from aerial images. After segmentation process boundaries are zigzag-shaped with many intrusions. I would like to simplify polygons but to maintain their essential shape. It means buildings should have orthogonal angles and small extrusions should be cut off. So I am looking for some implementation algorithm in MatLab. Like this: http://img812.imageshack.us/img812/3284/exampleus.png

19 Jan 2012 Anton Semechko

@ Andrii, what is it you want to achieve by orthogonalizing a set of input points? Could you clarify what this operation means or perhaps provide a reference?

19 Jan 2012 Andrii

Hi Anton. I have tried your function.
It works very well.
Do you know about some function like your but
which can simplify and after orthogonalize input set of points?

Updates
23 Jan 2012

updated description

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