forum.alglib.net

ALGLIB forum
It is currently Mon Nov 04, 2024 1:58 pm

All times are UTC


Forum rules


1. This forum can be used for discussion of both ALGLIB-related and general numerical analysis questions
2. This forum is English-only - postings in other languages will be removed.



Post new topic Reply to topic  [ 2 posts ] 
Author Message
 Post subject: Variable order two-dimensional surface splines
PostPosted: Mon Sep 09, 2024 9:07 am 
Offline

Joined: Mon Sep 09, 2024 8:32 am
Posts: 1
Location: Valencia, Spain
Hi all,

I have a request. Would it be possible to implement an RBF interpolation with the following basis function:

f(r) = (r^2)^(m-1) * ln( r^2 ) for r > 0
f(0) = 0,

where m >= 2 is a function order parameter?

We develop a software platform specialized in astronomy and astrophotography. We use this variable order function in our traditional RBF interpolation implementation (based on dense systems, hence requiring O(n^3) time). It is very useful with m <= 6 to model complex local distortions accurately in our astrometric solutions (where we must find a correspondence between a set of detected star positions on an image and the corresponding celestial coordinates in a star catalog).

Having this variable order RBF in ALGLIB with its fantastic O(n^2) DDM implementation would be highly nice since it would allow us to include many more stars in our astrometric solutions. The change with respect to the thin plate spline RBF should be trivial.

Thank you in advance for your attention.

_________________
Juan Conejero
PixInsight Development Team
Co-Founder and CEO, Pleiades Astrophoto S.L.
https://pixinsight.com/


Top
 Profile  
 
 Post subject: Re: Variable order two-dimensional surface splines
PostPosted: Sun Oct 13, 2024 2:24 pm 
Offline
Site Admin

Joined: Fri May 07, 2010 7:06 am
Posts: 925
Just for anyone interested. We are actively working on this feature, it will be included into the upcoming release :)


Top
 Profile  
 
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 2 posts ] 

All times are UTC


Who is online

Users browsing this forum: No registered users and 8 guests


You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Search for:
Jump to:  
Powered by phpBB © 2000, 2002, 2005, 2007 phpBB Group