In the context of $3D$ Computer graphics, which of the following statements is/are correct?
- Under perspective projection, each set of parallel lines in the object do not stay parallel in the image (except those that are parallel to the viewplane to start with).
- Applying a perspective transformation in the graphics pipeline to a vertex involves dividing by its $’z’$ coordinate
- Perspective transformation is a linear transformation
Choose the correct answer from the options given below:
- $(i)$ and $(ii)$ only
- $(i)$ and $(iii)$ only
- $(ii)$ and $(iii)$ only
- $(i)$, $(ii)$ and $(iii)$