Screened Poisson Equation

[apatriarca]

Hi, I have to translate "Screened Poisson equation" in Italian. Is there someone who know how those equations are called in Italian? I know very little about the theory of partial differential equations, so there may be a general translation for "screened".

[apatriarca]

I think spectral methods refers to a particular way to numerically solve PDEs, probably using FFT or something similar (like DCT for example).

[hamming_burst]

"apatriarca":Well, the "equazioni di Poisson" part was quite clear already. This is a generalization of Poisson equations. I think I will probably use the translation "equazioni di Poisson schermate" and also write the English term.

io intendevo il termine "spettrale" come possibile riferimento a "screened".
Considerando un eventuale legame "goliardico" con la terminologia delle reti: cavi "schermati" STP (Shielded Twisted Pair) e lo "spettro" elettromagnetico, con un po' di fantasia...

[apatriarca]

Well, the "equazioni di Poisson" part was quite clear already. This is a generalization of Poisson equations. I think I will probably use the translation "equazioni di Poisson schermate" and also write the English term.

[hamming_burst]

la butto lì...

see this Metodi spettrali: Equazione di Poisson in due dimensioni

[Camillo]

That sounds quite interesting, but new for me

[apatriarca]

Those are the equations I was speaking about. They are used in physics and, more recently, in computer graphics and computer vision (and I need them for those fields). In my context I have a 2D function (an image actually) and I want to find a new image which minimize the (squared) difference with the original image and the ( squared norm of the) difference between its gradients and a given gradient field. Those equations are then a consequence of Euler-Lagrange equation. I suspect those equations come up in similar, but 3-dimensional, contexts in physics.

[Camillo]

If it can be of help..

http://en.wikipedia.org/wiki/Screened_Poisson_equation

Il significato letterale sembra proprio essere quello di " equazione schermata di Poisson " visto che c'è anche quella "unscreened" , quanto poi al significato più profondo....

[gugo82]

More context, please.