Lecture 1 - Projections and Transformations (slides)

I i theviewpoint is atis at z 1 the viewpoint z the

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Unformatted text preview: cture 1: Slide 21! Orthographic Projection Orthographic projection! •  This is the simplest form of projection, and effective in This is many cases. ! of projection, and e↵ective in many cases. the simplest form Make   simplifying assumptions: • Make simplifying assumptions: ! I I The–viewpoint is atis at z = 1∞   The viewpoint z = −   The of projection is z = = The–planeplane of projection is z 0 0 so all• projectors have the have direction: direction: ! So all projectors same the same 0 1 0 ! d=@ 0 A 1 Graphics Lecture 1: Slide 22! Orthographic projection 0 Orthographic Projection onto z = onto z = 0! Orthographic Projection onto z = 0 Graphics Lecture 1: Slide 23! Each projection line ! Each projection line Each equation ! hashasprojection line equation has equation P = V + µd P = V + µd where ! where where 0 1 001 d = @ 00 A d = @ 10 A 1 Calculating an Orthographic Projection alculating an Orthographic Projection Calculating an Orthographic T Projection Calculating an orthographic projection ! Substitute d = (0, 0, 1) into the projector vector equation T Substitute d = (0, 0, 1) into the projector...
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