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is it possible to calculate a points 3D X and Y coordinate by inverting camera matrix

I have read camera calibration explained.

I was able to do it with and just to test it i used this and everything is perfectly working.

I am just curious given the below equation and assuming I know the Z of a 3D point and its x,y pixel coordinates in the image, would I be able to assess the X, and Y coordinates of the 3D point?

In other words if I multiple the two sides of the equation by inv of camera matrix, and assuming I know the Z = w of a 3D point, the can I get the 3D X and Y of the point in 3D space?

![image description] (https://docs.opencv.org/2.4/_images/math/5a6f01d9af8b50d0c7a6fecf84e9fe3c6fb4d507.png)

Any comments is much appreciate it.

is it possible to calculate a points 3D X and Y coordinate by inverting camera matrix

I have read camera calibration explained.

I was able to do it with and just to test it i used this and everything is perfectly working.

I am just curious given the below equation and assuming I know the Z of a 3D point and its x,y pixel coordinates in the image, would I be able to assess the X, and Y coordinates of the 3D point?

In other words if I multiple the two sides of the equation by inv of camera matrix, and assuming I know the Z = w of a 3D point, the then can I get the 3D X and Y of the point in 3D space?

![image description] (https://docs.opencv.org/2.4/_images/math/5a6f01d9af8b50d0c7a6fecf84e9fe3c6fb4d507.png)

Any comments is much appreciate it.C:\fakepath\Selection_007.png

is it possible to calculate a points 3D X and Y coordinate by inverting camera matrix

I have read camera calibration explained.

I was able to do it with and just to test it i used this and everything is perfectly working.

I am just curious given the below equation and assuming I know the Z of a 3D point and its x,y pixel coordinates in the image, would I be able to assess the X, and Y coordinates of the 3D point?

In other words if I multiple the two sides of the equation by inv of camera matrix, and assuming I know the Z = w of a 3D point, then can I get the 3D X and Y of the point in 3D space?

![image description] (https://docs.opencv.org/2.4/_images/math/5a6f01d9af8b50d0c7a6fecf84e9fe3c6fb4d507.png)

Any comments is much appreciate it.C:\fakepath\Selection_007.pngC:\fakepath\Selection_007.png