Normalizing Transformation (I)

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Presentation transcript:

Normalizing Transformation (I) 3D Viewing normalizing transform (3D WC  VRC)  clipping (VRC) projection (VRC  2D VC), mapping into a viewport Virtual Reality & Computer Graphics lab.

Virtual Reality & Computer Graphics lab. Model (1,1,0) (11,21,30) z x y (10,20,30) Virtual Reality & Computer Graphics lab.

Virtual Reality & Computer Graphics lab. VRP(15,20,35) z x y EYE Virtual Reality & Computer Graphics lab.

Virtual Reality & Computer Graphics lab. VUP(0,1,0) VPN(-1,0,-1) VRP(15,20,35) y z x y z Virtual Reality & Computer Graphics lab.

Virtual Reality & Computer Graphics lab. z x y Virtual Reality & Computer Graphics lab.

Virtual Reality & Computer Graphics lab. Window(-3,2(,0)) Window(3,2(,0)) z x y PRP(5,0,0) Window(3,-2(,0)) Virtual Reality & Computer Graphics lab.

Virtual Reality & Computer Graphics lab. Window(-3,2(,-5)) Window(3,2(,-5)) z x y Z=-5 Window(3,-2(,-5)) Virtual Reality & Computer Graphics lab.

Virtual Reality & Computer Graphics lab. Width=6 Height=4 z x y F=4 Z=-7 Z=-5 Z=-1 Virtual Reality & Computer Graphics lab.

Virtual Reality & Computer Graphics lab. (1,1,-1) (-1/7,1/7,-1/7) x or y -z 1 -1 B F Z=-1 z x y Z=-5/7 (1,-1,-1) Z=-1/7 Virtual Reality & Computer Graphics lab.

Normalizing Transformation (I) 3D Viewing normalizing transform (3D WC  VRC)  3D clipping (VRC) projection (VRC  2D VC), mapping into a viewport Virtual Reality & Computer Graphics lab.

Virtual Reality & Computer Graphics lab. (-1,1,-1) (1,1,-1) (x’, y’, z’) (x, y, z) If (-X+Z>0) clip; If (X+Z>0) clip; z x y (1,-1,-1) If (Z>-1/7) clip; (0,0,0) Perspective clipping? Virtual Reality & Computer Graphics lab.

Virtual Reality & Computer Graphics lab. (-1,1,-1) (1,1,-1) (x’, y’, z’) (-1,1,0) (1,1,0) (x, y, z) If (X>1) clip; If (X<-1) clip; (1,-1,-1) (-1,-1,0) (1,-1,0) Parallel clipping! Virtual Reality & Computer Graphics lab.

Virtual Reality & Computer Graphics lab. x or y -z x or y -1 1 B F 1 B F -z -1 -1/7 -1 Virtual Reality & Computer Graphics lab.

Normalizing Transformation (I) 3D Viewing normalizing transform (3D WC  VRC)  3D clipping (VRC) projection (VRC  2D VC), mapping into a viewport Virtual Reality & Computer Graphics lab.

Virtual Reality & Computer Graphics lab. 1024*768 (x’, y’, z’) (x, y, z) Virtual Reality & Computer Graphics lab.