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Thread Subject:
homogeneous line intersection

Subject: homogeneous line intersection

From: jcarneiro carneiro

Date: 29 Nov, 2010 10:36:03

Message: 1 of 3

Hi all,

Havingm

A= A1x1+ A2x2+ A3x3 = 0
B= B1x1+ B2x2+ B3x3 = 0

Is there a function in matlab to calculate the intersection between A and B?
Thanks

Subject: homogeneous line intersection

From: Bruno Luong

Date: 29 Nov, 2010 12:52:03

Message: 2 of 3

"jcarneiro carneiro" <jcarneiro@netcabo.pt> wrote in message <icvvmj$mca$1@fred.mathworks.com>...
> Hi all,
>
> Havingm
>
> A= A1x1+ A2x2+ A3x3 = 0
> B= B1x1+ B2x2+ B3x3 = 0
>

The line is parametrized by: x1=t*c(1), x2=t*c(2), x3=t*c(3), with
c = null([A1 A2 A3; B1 B2 B3];

Bruno

Subject: homogeneous line intersection

From: Roger Stafford

Date: 29 Nov, 2010 16:13:03

Message: 3 of 3

"Bruno Luong" <b.luong@fogale.findmycountry> wrote in message <id07lj$q0i$1@fred.mathworks.com>...
> "jcarneiro carneiro" <jcarneiro@netcabo.pt> wrote in message <icvvmj$mca$1@fred.mathworks.com>...
> > Hi all,
> >
> > Havingm
> >
> > A= A1x1+ A2x2+ A3x3 = 0
> > B= B1x1+ B2x2+ B3x3 = 0
> >
>
> The line is parametrized by: x1=t*c(1), x2=t*c(2), x3=t*c(3), with
> c = null([A1 A2 A3; B1 B2 B3];
>
> Bruno
- - - - - - - - -
  Also x = t*cross([A1,A2,A3],[B1,B2,B3]);

Roger Stafford

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