Learning Forum

[pengzheng97]

In the Greyscale part, I can't understand what is the 'top hat convolution'.

[Taylor Robertson]

That article should direct you to top hat convolution. This feature is using a circular structure element, with the closing operation. Essentially you can think of this as a low pass spatial filter of that type, but I am not sure about the exact implantation. I would find a textbook on digital image processing for a more thorough discussion of the details.

Best Regards

[pengzheng97]

thanks for your reply,
I found the screenshot above from an article on topology optimizationÔÇöÔÇöhttps://link.springer.com/article/10.1007%252Fs00158-010-0602-y
I am not sure what the filter_R in Lumopt has to do with this article, and I really want to know how Lumopt works
Looking forward to your next reply, I wish you a happy life´╗┐
­ƒÿü
´╗┐

[Taylor Robertson]

I cannot really give more details, but the filter_R essentially operates like a smoothing Kernal in image processing, The size of this Kernal depends on your filter size definition, and will operate on floating point numbers since that is how the permittivity is defined in lumopt.

[Taylor Robertson]

[pengzheng97]

Hi Thanks for your reply, I think I've known this, it works like a low-pass filter.