Unformatted text preview: c Graphics Lecture 1: Slide 31!
24 / 47 Problem break
Problem break Problem break !
Given that viewing plane is at at z=5,
Given that the the viewing plane is z=5, = 5What point the the
What point on on the
Given that the viewing to the is at z
viewplane corresponds the 3D 3D vertex , what point on
viewplane corresponds to to the 3D vertex
view plane corresponds
V = @10A
V = @10A
10 10 !
When use the di di↵erent projections
when we use thedifferent projections:!
When we we usethe ↵erent projections
(a)1. Perspective ! Px = f Vx /Vz = 5 and Py = f Vy /Vz = 5
(b)2. Orthographic ! Px = 10 and Py = 10
Orthographic (b) Orthographic Graphics Lecture 1: Slide 32! 25 / 47
24 / 47 The need for transformations !
• Graphics scenes are deﬁned in a particular coordinate
• We want to draw a graphics scene from any angle!
• But to draw a graphics scene, it is a lot easier to have: !
– The viewpoint at the origi...
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