Code covered by the BSD License  

Highlights from

Be the first to rate this file! 26 Downloads (last 30 days) File Size: 1.79 KB File ID: #36363




A function to calculate the distance from a point to a plane.

| Watch this File

File Information

Given a point in 3D space, and a plane parameterized by its coefficients (C = [a b c] where z = a*x + b*y + c), dist2plane will calculate the distance from the point to the plane along the normal.

Required Products MATLAB
MATLAB release MATLAB 7.13 (R2011b)
Tags for This File   Please login to tag files.
Please login to add a comment or rating.
Comments and Ratings (3)
26 Apr 2012 Jan Simon

I'm used to define a plane as "ax+by+cz+d=0", by the normal and one point or by three points. Can your formula define the XY-, YZ- and XZ-planes?

25 Apr 2012 Val Schmidt

Hi Jan,
The plane is defined by the equation:
z = C(1)x + C(2)y + C(3)

[xx yy ] = meshgrid(x,y)
C = [1 2 3];
zz = C(1)*xx+C(2)*yy+C(3)


PS. You are right about the transposing. Thanks.

25 Apr 2012 Jan Simon

I do not get how to define the plane:
"C: 3x1 plane coeficient vector i.e., zplane = C(1)*x+C(2)+C(3)". Which value of C defines the e.g. Z-plane?
In "sqrt(sum((po-pp)'.^2))" the transposing is inefficient. Better: "sqrt(sum((po-pp).^2, 2))"

Contact us