Re: R: Sphere to rectangle

"Diogo de Andrade" <[email protected]>
Newsgroups gmane.games.devel.algorithms
Message-ID <[email protected]>
Hi!

That's basically what I'm trying to do with the "wrong" solution, although I don't tell it like that...
It was a good thought... I had to think about it for 2 mins before I understood that was exactly what I was trying to do...

Visually, you can see the problem at http://www.spellcasterstudios.com/sphere_problem.jpg

With your solution (and my initial one), I'd get the red points (and their projection, the yellow line), which is smaller than the correct solution (the purple points/projection), which has the correct size...

Thanks!

Diogo


-----Original Message-----
From: [email protected] [mailto:[email protected]] 
Sent: sexta-feira, 8 de Janeiro de 2010 13:54
To: [email protected]
Subject: [Algorithms] R: Sphere to rectangle

----Messaggio originale----
Da: [email protected]
Data: 08/01/2010 13.45

> Hi all…
>  
> I’ve been wrestling with a problem for some days now, and I 
> honestly can’t seem to figure an elegant solution…
>  
> I want to find the rectangle that bounds a omni light source, 
> so the problem is: given a sphere with center C=(x0,y0,z0) and radius 
RADIUS, what is the bounding rectangle rect=(rx1,ry1,rx2,ry2) on screen?
 
Ok, I read this ML only for educational purpose, so...well, I'm sure I will 
suggest the wrong solution :-D

Arent'you simply trying to do screen-aligned billboarding?
I mean...the bounding rectangle around a sphere of a given radius, on 
screen...is not always the same rectangle simply billboarded?



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