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Distance between a point(x,y,z) and a surface(X,Y,Z)
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I am trying to calculate the minimum distance between a point(x,y,z) and a surface defined by points (X;Y,Z). I now the normal to the point (x,y,z) from which I want to calculate distance, however I am not able to figure out the way of interpolating my surface so that the minimum distance is obtained, no matter the number of points in my surface.
Right now my option is to calcualte the distance from my point (x,y,z) to all the points in surface (X,Y,Z) and keep just the smallest one. However, I think there must be a better way of doing so.
Thank you very much for your help.
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Ali Grysah
2021년 4월 2일
편집: Ali Grysah
2021년 4월 2일
hi i need matlab 2008 windos7 /.bt32
can you help me,,and thunks
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David Hill
2021년 3월 22일
Seems like a math question rather than a Matlab question. The minnum distance between a plane and a point is just the absolute value of the dot product between the point and the unit normal vector of the plane. The normal vector of the plane can be easily found with the 3 points given and is just the cross product between two vectors lying in the plane. For example:
p=[1 -2 0;0 -1 2;3 1 4];%three points given on the plane
d=diff(p);%two vectors lying in the plane
N=cross(d(1,:),d(2,:));
n=N/norm(N);%unit normal vector of plane
You do the rest
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