CSCI 480/580 Lecture 6 - In-Class Problems

1. In lecture we saw how to create camera basis vectors u, v, w given an eye position, view direction, and up vector. Repeat this calculation, except instead of a view direction vector you're given a 3D point at that the camera is looking directly towards.
2. Given a basis u, v, w, and the $u,v$ coordinates of pixel $(i,j)$, give the viewing ray for pixel $(i,j)$. You can assume $(u, v)$ has already been calculated in terms of $(i,j)$ and express your answer in terms of $u$ and $v$.
3. The "view volume" associated with a projection is the volume of 3D space that projects onto the image plane/viewport. Describe (informally) the shape of the view volume for an orthographic camera and a perspective camera.