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# tfg.rendering.camera.perspective.project

Projects a 3d point onto the 2d camera plane.

tfg.rendering.camera.perspective.project(
point_3d,
focal,
principal_point,
name=None
)


Defined in rendering/camera/perspective.py.

Projects a 3d point $$(x, y, z)$$ to a 2d point $$(x', y')$$ onto the image plane with

$$\begin{matrix} x' = \frac{f_x}{z}x + c_x, & y' = \frac{f_y}{z}y + c_y, \end{matrix}$$

where $$(f_x, f_y)$$ is the focal length and $$(c_x, c_y)$$ the principal point.

#### Note:

In the following, A1 to An are optional batch dimensions that must be broadcast compatible.

#### Args:

• point_3d: A tensor of shape [A1, ..., An, 3], where the last dimension represents a 3d point to project.
• focal: A tensor of shape [A1, ..., An, 2], where the last dimension represents a camera focal length.
• principal_point: A tensor of shape [A1, ..., An, 2], where the last dimension represents a camera principal point.
• name: A name for this op that defaults to "perspective_project".

#### Returns:

A tensor of shape [A1, ..., An, 2], where the last dimension represents a 2d point.

#### Raises:

• ValueError: If the shape of point_3d, focal, or principal_point is not supported.