## Mapping a plane onto a 3D matrix?

### Naim (view profile)

on 16 Aug 2017
Latest activity Commented on by José-Luis

on 16 Aug 2017

### Guillaume (view profile)

I have an empty 256x256x56 matrix I want to project onto
I have with two points of interest (156.66,114.66,32.66) and (132.33,122.33,30.33). The plane I want to define is orthogonal to these two points and lies on the first point. The normal vector created by these two points are (-24.33,7.66,-2.33). I then found the D value of 3.0093e+03 to satisty a*x+b*y+c*z+d=0 with (a,b,c) being my first value (156.66,114.66,32.66).
All that being said, I'm trying to map this plane onto my empty matrix. It would need to be the best approximation, as the matrix is discrete. Any ideas about the some next steps? I would love to hear some suggestions.

José-Luis

### José-Luis (view profile)

on 16 Aug 2017
Compute the distance of every point in the matrix to the plane and if it's below some threshold set it as true, otherwise false.
Guillaume

### Guillaume (view profile)

on 16 Aug 2017
@José-Luis,
For lines (on a 2d plane) this usually results in very poorly rendered lines (with holes in parts, double thickness in others). It's also extremely slow.
But yes, if nothing more clever exists, that's the easy way to do it.
José-Luis

### José-Luis (view profile)

on 16 Aug 2017
Thanks for the clarification.
Not really my field.

on 16 Aug 2017