1-dimensional persistence diagram of image data

[AshleyChraya]

Hi,

Is there a way to create 1-dimensional persistence diagram using sublevelset filtration or lower star filtration on image data? I think it is not possible to construct 1D PD with lower_star_img. Currently, I am able to construct 0D PD using lower_star_img, but I can't find a way to make 1D PDs. Any help would be greatly appreciated.

Thank you.

[ctralie]

That's right! This feature is not currently supported. Pull requests are welcome, or you may want to check out the cubical complex functionality in GUDHI https://gudhi.inria.fr/python/latest/cubical_complex_user.html

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On Fri, Jan 21, 2022 at 11:15 PM Ashley Chraya ***@***.***> wrote: Hi, Is there a way to create 1-dimensional persistence diagram using sublevelset filtration or lower star filtration on image data? I think it is not possible to construct 1D PD with lower_star_img. Currently, I am able to construct 0D PD using lower_star_img, but I can't find a way to make 1D PDs. Any help would be greatly appreciated. Thank you. — Reply to this email directly, view it on GitHub <#22>, or unsubscribe <https://github.com/notifications/unsubscribe-auth/AAJWDZVIUL5UDULOJDINE4TUXIVPTANCNFSM5MRGCIJA> . Triage notifications on the go with GitHub Mobile for iOS <https://apps.apple.com/app/apple-store/id1477376905?ct=notification-email&mt=8&pt=524675> or Android <https://play.google.com/store/apps/details?id=com.github.android&referrer=utm_campaign%3Dnotification-email%26utm_medium%3Demail%26utm_source%3Dgithub>. You are receiving this because you are subscribed to this thread.Message ID: ***@***.***>

[ctralie]

Actually, though, I should mention that there is a mathematical "hack" you can do if you're just focused on 1D persistence on images. If you filter from top to bottom but do H0, this is equivalent to H1 by Alexander Duality. You can get the current code to do this by simply passing the negative of your image to it. Hope that helps! On Sat, Jan 22, 2022 at 11:32 AM Christopher Tralie < ***@***.***> wrote:

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That's right! This feature is not currently supported. Pull requests are welcome, or you may want to check out the cubical complex functionality in GUDHI https://gudhi.inria.fr/python/latest/cubical_complex_user.html On Fri, Jan 21, 2022 at 11:15 PM Ashley Chraya ***@***.***> wrote: > Hi, > > Is there a way to create 1-dimensional persistence diagram using > sublevelset filtration or lower star filtration on image data? I think it > is not possible to construct 1D PD with lower_star_img. Currently, I am > able to construct 0D PD using lower_star_img, but I can't find a way to > make 1D PDs. Any help would be greatly appreciated. > > Thank you. > > — > Reply to this email directly, view it on GitHub > <#22>, or unsubscribe > <https://github.com/notifications/unsubscribe-auth/AAJWDZVIUL5UDULOJDINE4TUXIVPTANCNFSM5MRGCIJA> > . > Triage notifications on the go with GitHub Mobile for iOS > <https://apps.apple.com/app/apple-store/id1477376905?ct=notification-email&mt=8&pt=524675> > or Android > <https://play.google.com/store/apps/details?id=com.github.android&referrer=utm_campaign%3Dnotification-email%26utm_medium%3Demail%26utm_source%3Dgithub>. > > You are receiving this because you are subscribed to this thread.Message > ID: ***@***.***> >