January 28th, 2013, 04:47 AM  #1 
Newbie Joined: Jan 2013 Posts: 1 Thanks: 0  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. 

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