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Lecture 1 - Projections and Transformations (slides)

# Graphics lecture 1 slide 12 6 47 normalisation

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Unformatted text preview: corners of the area we are using.! Then we can translate our world coordinates to pixel coordinates.! ! *making a ‘system call’ through the API! Graphics Lecture 1: Slide 11! Normalisation Normalisation! Graphics Lecture 1: Slide 12! 6 / 47 Normalisation Normalisation! Having deﬁned our world coordinates, and obtained our device Normalisation coordinates we relate the two by simple ratios: and obtained our •  Having deﬁned our world coordinates, Normalisation our world coordinates, and obtained our device Having deﬁned device coordinates wetwo by simpleX obtainedby simple ratios:! coordinates we our world coordinates, the two our device ( deﬁned relate the )relate ( ratios: V W ) Having X and w xmin v xmin coordinates we relate the two by= ratios: ( (Wxmax (Xw xmin )) simpleXv VxminVxmin ) W Wxmin = (Vxmax ) (Wxmax WWxmin ) (VXv Vxmin ) ) (Xw ( xmax Vxmin xmin ) = (Wxmax Rearranging, we get: we get: Wxmin ) (Vxmax Vxmin ) Rearranging, •  Rearranging, we get: ! Rearranging, we get: (Xw = (Xw xmin )(Vxmax Vxmin ) + Vxmin W Wxmin )(Vxmax Vxmin ) Xv Wxmax Wxmin Xv = X =...
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