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January 28th, 2013, 04:47 AM   #1
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3d point to 2d point

Hello,
This is my first post on this forum. I would really appreciate your help.

Input:
3D axis coordinate system: xyz
Point in 3D: P1(x1,y1,z1)
Plane defined by point P2(x2,y2,z2) (viewpoint center) and a vector n normal to the plane. This plane is the monitor(PC) plane.
I also have 2 other vectors: one that is in up direction ( of the viewpoint) and another one that is in right direction ( of the viewpoint). This vector are related to xyz.
I have also a 2D coordinate system in my plane. The origin(0,0) is P2 (x2,y2,z2) (center of monitor), the 2D X axis is parallel with the vector from right direction and the 2D Y axis parallel with the vector from up direction.
Monitor size is 2 units by 2 units.

Output:
I need the point P1(x1,y1,z1) in the 2D coordinate axis system.

I know until now how to project the point on the monitor plane related to xyz. So I have the coordinates of this point P3(x3,y3,z3) related to xyz.

How can I solve my problem. I tried so hard but I am stuck Is quite long time since I finished school
I would appreciate any kind of help.
Iscar is offline  
 
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