[CST-2] AdvGraph: CSG
Kevin Chan
kkfc2@cam.ac.uk
Thu, 31 May 2001 01:36:51 +0100
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Leaves are primative objects (defined by the first (entry) and last (exit)
intersection points with the ray) e.g Sphere[t1,t2] where t1 gives the first
intersection point and t2 the last
Nodes are CSG operators
The tree therefore looks like:
U
/ \
/ \
Box Sphere
[b1, b2] [s1,s2]
You then work from the bottom up combining the leaves using the operators to
get the intersection points of the higher nodes.
This is better explained with a diagram. Look at diagram 1 (sorry about its
crudity - it is afterall 1.30am and I can't be bothered to use anything more
sophisticated than paint =)
S1, S2, B1 & B2 represent the intesections with the two objects. From this
it is obvious that the first intersection points of the following objects
are:
S -> S1
B -> B1
S U B -> S1
S intersection B -> B1
S - B -> S1
B - S -> S2
The last intersection point is just as easy to work out. You can therefore
work upwards from the leaves and work out the intersection points for each
node until you get to the top where you will end up with the intersection
points for the whole CSG object.
Hope that helps - if not I'll try to give a more coherent explanation in the
morning =)
Kev
----- Original Message -----
From: "M.Y.W.Y. Becker" <mywyb2@cam.ac.uk>
To: <cst-2@srcf.ucam.org>
Sent: Thursday, May 31, 2001 1:09 AM
Subject: [CST-2] AdvGraph: CSG
> Can anyone remember how a binary tree representation of a CSG object can
be
> used to compute intersection points of a ray with the entire object
> (1999/9/4)?
>
> It's not in the notes but it seems to be examinable...
>
> Moritz
>
>
>
>
> _______________________________________________
> CST-2 mailing list
> CST-2@srcf.ucam.org
> http://www.srcf.ucam.org/mailman/listinfo/cst-2
>
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