Talk:Local inverse

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This page should not be speedily deleted because Local inverse try to solve the image processing or signal processing problem in case only part of input data is available. For example CT image reconstruction for internal region. It is a very simple concept. In this short article I have give all important proof of the concept. I did not mention interior image reconstruction which is the place there this concept comes, because the concept itself is general and can be applied to other fields. The details of the concept can be see in the reference I offered.

I also plan to work on this article to included more details. Please keep it for a while, I believe some one else will add more interesting details.

imrecons

... (your reason here) --Imrecons (talk) 13:40, 31 May 2014 (UTC)Reply

I added a lead and See also section. I think the definition should contrast these with "normal" inverse functions. That is, provide a definition of local. Local function redirects to nested function, as a computer programming term. More references are needed. I saw many PDFs on Google that mention local inverse functions, but don't have time to read them, now. —PC-XT+ 19:24, 21 June 2014 (UTC)Reply

Thank you very much to correct and edit this article. The PDFs you mention is very special and it do the job for interior image reconstruction. In the PDFs there is only very small part which involve the concept of the "local inverse". However the concept of local inverse can be defined in general in any case if the measured data do not complete. It is a best solution in the meaning of minimizing L2 norm and subject to the condition that the truncation artifacts is 0. Hope this concept can be widely applied to other fields instead of the interior reconstruction.

imrecons