Lect 2: Display Pipeline

Question 1

Explain why homogeneous co-ordinates are used in computer graphics and animation.

Answer 1

To be able to express translations using transformation matrices and thus to unify all types of transformations through the use of transformation matrices.

Question 2

If M defines a 4x4 transformation matrix and v a vector containing the homogeneous co-ordinates of a vertex after the transformation, how can the original vertex co-ordinates (i.e. before the transformation) be recovered?

Answer 2

By calculating the inverse of M and applying it to v, i.e M⁻¹v

Question 3

List the five spaces of the display pipeline in the correct sequence.

Answer 3

object-world-eye-image-screen space