Find the camera coordinate (computer vision) Let the following homogeneous coord

Question

Find the camera coordinate (computer vision)

Let the following homogeneous coordinate equation describe the change of basis transformation that converts 3D world coordinate point P_w= [U;V;W] into 3D camera coordinate point P_C=[X;Y;Z]. Where is the camera located in the world coordinate system? Answer to 2 decimal places. Answer If the camera moves forward 10 meters along its Z axis, what 3D location will it be at as described in the original camera coordinate system (before it |moved)? [easy question] (3.3) If the camera moves forward 10 meters along its Z axis, where will it be located in the world coordinate system? Answer to 2 decimal places.

Explanation / Answer

Stages in Image processing: Collect the image process it conduct analysis on the collected image roll, pitch, yaw corresponding to x,y and z axis or u,v and w ux = 0.7071, uy = 0.3536, uz = 0.6124 vx = 0, vy = 0.8660, vz = -0.5000 wx = -0.7071, wy = 0.3536, wz = 0.6124 3.1 x' = x/z x'' = u1r^2+u2r^4+u3*r^6 and so on for the y' and y'' as well plugging in values, we get, U = 0.8995 ; V = 0.9443; W = 0.3492 ; 3.2 When Camera moves 10 meters along the Z axis, The 3D location as per the Camera Coordinate System: X =10.7071 ; Y = 10.3536; Z = 10.6124 3.3 To obtain the U,V and W after 10 meter movement, we need to plugin the values after 10 meter movement in to the same equation used for 3.1 3.3 U = 10.89 V= 10.94 W = 10.35

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