Practical Example: Placing a sampling grid in a polygon

A while back, I posted a video about how to place points randomly inside of an arbitrary polygon. [Click here] This video prompted a question about how to place points in a more systematic manner. If you are only allowed to change the edge length of an equilateral triangular grid, how can you get a set number of points into a given polygon.

This is the first in a two part series on how to do that. This video focuses on how to generate the grid. The second video will cover how to vary the edge length until the goal of getting a set number of points into the polygon is reached.

Video Content

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4 Responses to “Practical Example: Placing a sampling grid in a polygon”

Johnny replied on April 3rd, 2008 at 5:15 pm :

Doug, great example, but there’s a math error in your code…ySpace should be ‘ySpace = e*sin(60)’ instead of ‘ySpace = e/sin(60)’.
Thanks!

Doug replied on April 4th, 2008 at 8:14 am :

Johnny,

Oops, I never noticed because when E = 1 it just does not matter.

Good catch!

Thanks,
Doug

Juliane replied on July 15th, 2008 at 10:06 am :

What i would like to know is how can you automate a label method for the generated samples in a sppecified direction

Doug replied on July 15th, 2008 at 10:42 am :

Juliane,

I am not sure what you mean. Please be more specific.

Doug

About

Doug Hull is an Application Engineer at The MathWorks. A MATLAB user since 1994, he gets paid to live, eat, and breathe MATLAB! This blog is dedicated to promoting the File Exchange by highlighting files and original video content.

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