# lecture6 - CSE472 Computer Graphics Viewing Conversion from...

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1 CSE472 Computer Graphics Viewing Conversion from 3D to 2D for viewing

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2 CSE472 Computer Graphics Projection Projection  - the transformation of points  from a coordinate system in n  dimensions to  a coordinate system in m  dimensions where  m<n. We will be talking about projections from 3D  to 2D, where the 3D space represents a world  coordinate system and the 2D space is a  window which is mapped to a screen  viewport.
3 CSE472 Computer Graphics Specifying a Projection Two things must be specified Projection plane  and a  center of projection Projection plane A 2D coordinate system onto which the 3D  image is to be projected.  We’ll call this the VRP  for view reference plane. Center of projection A point in space which serves as an end point for  projectors.  We’ll refer to this point as the COP.   It is also called a PRP for a  projection reference  point .

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4 CSE472 Computer Graphics Projectors Projectors  - a ray originating at the center of  projection and passing through a point to be  projected.  Here is an example of a  projection: VRP COP Object in 3 space Projectors Projected image
5 CSE472 Computer Graphics Parallel Projection A simple case of a projection is if the  projectors are all in parallel.   What does this imply about the COP?  VRP COP Object in 3 space Projectors Projected image

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6 CSE472 Computer Graphics Direction of Projection We can’t specify the COP for parallel projection We’ll use Direction of Project (DOP) instead
7 CSE472 Computer Graphics Some Trivia Planer geometric projection A projection onto a planer surface (planer) using  straight lines (geometric).  Why would we do  otherwise??? Foreshortening

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## This note was uploaded on 07/25/2008 for the course CSE 472 taught by Professor Owen during the Spring '08 term at Michigan State University.

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lecture6 - CSE472 Computer Graphics Viewing Conversion from...

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