lecture 7

Question 1

why do we use Canonical Viewing Volume ?

Answer 1

for fast clipping

Question 2

to Transform viewing volume into the Canonical view volume we use ?

Answer 2

normalizing transformations

Question 3

Npar: for parallel projection steps are ?

Answer 3

1- transform view reference point (vrc) to the window center (wc)
2- rotate the view reference coordinate (so n on the z and u on x and v on y)
3- make sure direction of projection is parallel to the z-axis
4- translate and scale into parellel projection canonical
view volume.

Question 4

DOP equall to ?

Answer 4

wc - prp

Question 5

the DOP is parallel to the y axis

Answer 5

false to the z axis

Question 6

Npar=

Answer 6

S par . T par . SH par . R . T (-VRP)

Question 7

Nper: for perspective projection steps are ?

Answer 7

1- translate VRP to WC
2-rotate vrc such as n-axis is z and u-axis is x and v-axis is y
3- translate such that the center of the projection (PRP) is at origin
4- shear such that centerline of view volume become z-axis
5- scale e such that the view volume becomes the canonical perspective view volume

Question 8

Nper =

Answer 8

S pre.SH par.T(-PRP).R.T(-VRP)