Orthographic Projection

Special case of perspective projection

• Distance from the COP to the image plane is infinite => Both f and Z are very large

• Good approximation for telephoto optics

• Also called "parallel projection": $$(x, y, z) \rightarrow (x, y)$$

$$\begin{bmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 \end{bmatrix} \begin{bmatrix} x \\ y \\ z \\ 1 \end{bmatrix} = \begin{bmatrix} x \\ y \\ 1 \\ \end{bmatrix} \rightarrow (x, y)$$