Lecture 11 Perspective Projection

Projections Angel: Interactive Computer Graphics

Taxonomy of Projections FVFHP Figure 6.10

Parallel Projection ,[object Object],[object Object],Angel Figure 5.4 DOP View Plane

Orthographic Projections ,[object Object],Angel Figure 5.5 Top Side Front

Oblique Projections ,[object Object],H&B Cavalier (DOP  = 45 o ) tan(  ) = 1 Cabinet (DOP  = 63.4 o ) tan(  ) = 2

Orthographic Projection ,[object Object],[object Object],[object Object]

Perspective Transformation ,[object Object],[object Object],[object Object]

Perspective Projection ,[object Object],Angel Figure 5.10 3-Point Perspective 2-Point Perspective 1-Point Perspective

Perspective Projection ,[object Object],[object Object]

Perspective Projection ,[object Object],How tall should this bunny be?

Perspective Projection ,[object Object],[object Object],d P ( x, y, z ) X Z View plane (0,0,0) x’ = ?

A Perspective Projection Matrix ,[object Object]

A Perspective Projection Matrix ,[object Object],[object Object]

Projection Matrices ,[object Object],[object Object]

Perspective vs. Parallel ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Classical Projections Angel Figure 5.3

A 3D Scene ,[object Object],[object Object]

A1 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

A4 ,[object Object],[object Object],[object Object],[object Object],[object Object]

Lecture 11 Perspective Projection

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Lecture 11 Perspective Projection