Hello list,
I had a doubt, will try to explain.
I wanted to define a line in a 3d space through 2 points, and be able to find out the distance from another point to that line. Since I'm very bad at math, I wanted to know if anyone has done something similar, or knows how to get to it.
As I see it, the process goes this way:
- define a line from coordinates x1,y1,z1 to x2,y2,z2
- declare the point x3,y3,z3
- find the distance from that point to the nearest point belonging to the said line
Any existing examples with gem rendering would be great.
Thanks as usual,
jmmmp
On 05/12/13 23:40, João Pais wrote:
Hello list,
I had a doubt, will try to explain.
I wanted to define a line in a 3d space through 2 points, and be able to find out the distance from another point to that line. Since I'm very bad at math, I wanted to know if anyone has done something similar, or knows how to get to it.
http://paulbourke.net/geometry/pointlineplane/
first example on the page, you just need to clamp u to [0..1] if you want to make it work for a line segment instead of an infinite line.
Claude
As I see it, the process goes this way:
- define a line from coordinates x1,y1,z1 to x2,y2,z2
- declare the point x3,y3,z3
- find the distance from that point to the nearest point belonging to
the said line
Any existing examples with gem rendering would be great.
Thanks as usual,
jmmmp
[list-dotprod] from list-abs might come in handy
2013/12/6 Claude Heiland-Allen claude@mathr.co.uk
On 05/12/13 23:40, João Pais wrote:
Hello list,
I had a doubt, will try to explain.
I wanted to define a line in a 3d space through 2 points, and be able to find out the distance from another point to that line. Since I'm very bad at math, I wanted to know if anyone has done something similar, or knows how to get to it.
http://paulbourke.net/geometry/pointlineplane/
first example on the page, you just need to clamp u to [0..1] if you want to make it work for a line segment instead of an infinite line.
Claude
As I see it, the process goes this way:
- define a line from coordinates x1,y1,z1 to x2,y2,z2
- declare the point x3,y3,z3
- find the distance from that point to the nearest point belonging to
the said line
Any existing examples with gem rendering would be great.
Thanks as usual,
jmmmp
Pd-list@iem.at mailing list UNSUBSCRIBE and account-management -> http://lists.puredata.info/ listinfo/pd-list
check pdmtl abstractions too. they contain that and a lot more .
check gems.* patches
https://github.com/aalex/pdmtl
2013/12/6 tim vets timvets@gmail.com
[list-dotprod] from list-abs might come in handy
2013/12/6 Claude Heiland-Allen claude@mathr.co.uk
On 05/12/13 23:40, João Pais wrote:
Hello list,
I had a doubt, will try to explain.
I wanted to define a line in a 3d space through 2 points, and be able to find out the distance from another point to that line. Since I'm very bad at math, I wanted to know if anyone has done something similar, or knows how to get to it.
http://paulbourke.net/geometry/pointlineplane/
first example on the page, you just need to clamp u to [0..1] if you want to make it work for a line segment instead of an infinite line.
Claude
As I see it, the process goes this way:
- define a line from coordinates x1,y1,z1 to x2,y2,z2
- declare the point x3,y3,z3
- find the distance from that point to the nearest point belonging to
the said line
Any existing examples with gem rendering would be great.
Thanks as usual,
jmmmp
Pd-list@iem.at mailing list UNSUBSCRIBE and account-management -> http://lists.puredata.info/ listinfo/pd-list
Pd-list@iem.at mailing list UNSUBSCRIBE and account-management -> http://lists.puredata.info/listinfo/pd-list
after checking the other posts , i only answered partially your question .
2013/12/6 Py Fave pyfave@gmail.com
check pdmtl abstractions too. they contain that and a lot more .
check gems.* patches
https://github.com/aalex/pdmtl
2013/12/6 tim vets timvets@gmail.com
[list-dotprod] from list-abs might come in handy
2013/12/6 Claude Heiland-Allen claude@mathr.co.uk
On 05/12/13 23:40, João Pais wrote:
Hello list,
I had a doubt, will try to explain.
I wanted to define a line in a 3d space through 2 points, and be able to find out the distance from another point to that line. Since I'm very bad at math, I wanted to know if anyone has done something similar, or knows how to get to it.
http://paulbourke.net/geometry/pointlineplane/
first example on the page, you just need to clamp u to [0..1] if you want to make it work for a line segment instead of an infinite line.
Claude
As I see it, the process goes this way:
- define a line from coordinates x1,y1,z1 to x2,y2,z2
- declare the point x3,y3,z3
- find the distance from that point to the nearest point belonging to
the said line
Any existing examples with gem rendering would be great.
Thanks as usual,
jmmmp
Pd-list@iem.at mailing list UNSUBSCRIBE and account-management -> http://lists.puredata.info/ listinfo/pd-list
Pd-list@iem.at mailing list UNSUBSCRIBE and account-management -> http://lists.puredata.info/listinfo/pd-list
Am 06.12.2013, 00:51 Uhr, schrieb Claude Heiland-Allen claude@mathr.co.uk:
On 05/12/13 23:40, João Pais wrote:
Hello list,
I had a doubt, will try to explain.
I wanted to define a line in a 3d space through 2 points, and be able to find out the distance from another point to that line. Since I'm very bad at math, I wanted to know if anyone has done something similar, or knows how to get to it.
http://paulbourke.net/geometry/pointlineplane/
first example on the page, you just need to clamp u to [0..1] if you want to make it work for a line segment instead of an infinite line.
it looks interesting, and I also checked for more content with a similar title. the thing is, my math/geometry skills are too bad, and I don't understand where they get the formulas for the points and lines. I'll keep watching the links, but I might not get it in time for the purpose I was looking for.
thanks anyway,
João
Hi João, I patched something for you, maybe it's useful.
http://mathsfirst.massey.ac.nz/Algebra/PythagorasTheorem/pythapp.htm
Am 11.12.2013 um 02:30 schrieb João Pais jmmmpais@googlemail.com:
Am 06.12.2013, 00:51 Uhr, schrieb Claude Heiland-Allen claude@mathr.co.uk:
On 05/12/13 23:40, João Pais wrote:
Hello list,
I had a doubt, will try to explain.
I wanted to define a line in a 3d space through 2 points, and be able to find out the distance from another point to that line. Since I'm very bad at math, I wanted to know if anyone has done something similar, or knows how to get to it.
http://paulbourke.net/geometry/pointlineplane/
first example on the page, you just need to clamp u to [0..1] if you want to make it work for a line segment instead of an infinite line.
it looks interesting, and I also checked for more content with a similar title. the thing is, my math/geometry skills are too bad, and I don't understand where they get the formulas for the points and lines. I'll keep watching the links, but I might not get it in time for the purpose I was looking for.
thanks anyway,
João
Pd-list@iem.at mailing list UNSUBSCRIBE and account-management -> http://lists.puredata.info/listinfo/pd-list
Hi
If you want to know the distance between a point and line in 3D space :
1 - you calculate the vector director (= vecteur directeur ?) u-> of the line 2 - you select any point A from your line 3 - you calculate the vector AB-> 4 - you calculate || (AB->) ^ (u->) || / || u-> || , with || . || euclidian norm and ^ cross product
the distance is d = || (AB->) ^ (u->) || / || u-> ||
Prince
2013/12/26 Max abonnements@revolwear.com
Hi João, I patched something for you, maybe it's useful.
http://mathsfirst.massey.ac.nz/Algebra/PythagorasTheorem/pythapp.htm
Am 11.12.2013 um 02:30 schrieb João Pais jmmmpais@googlemail.com:
Am 06.12.2013, 00:51 Uhr, schrieb Claude Heiland-Allen <
claude@mathr.co.uk>:
On 05/12/13 23:40, João Pais wrote:
Hello list,
I had a doubt, will try to explain.
I wanted to define a line in a 3d space through 2 points, and be able
to
find out the distance from another point to that line. Since I'm very bad at math, I wanted to know if anyone has done something similar, or knows how to get to it.
http://paulbourke.net/geometry/pointlineplane/
first example on the page, you just need to clamp u to [0..1] if you want to make it work for a line segment instead of an infinite line.
it looks interesting, and I also checked for more content with a similar
title. the thing is, my math/geometry skills are too bad, and I don't understand where they get the formulas for the points and lines. I'll keep watching the links, but I might not get it in time for the purpose I was looking for.
thanks anyway,
João
Pd-list@iem.at mailing list UNSUBSCRIBE and account-management ->
http://lists.puredata.info/listinfo/pd-list
Pd-list@iem.at mailing list UNSUBSCRIBE and account-management -> http://lists.puredata.info/listinfo/pd-list
Thanks. It will take me some days until I can have a look at it. In case you're interested in arrays, here is something I was working on in the last days: http://lists.puredata.info/pipermail/pd-list/2013-12/105216.html
Hi João, I patched something for you, maybe it's useful.
-
Ba Prince -
Claude Heiland-Allen -
João Pais -
Max -
Py Fave -
tim vets