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# 3D Viewing

World coordinate system(where the objects are modeled and defined)

3D Viewing

World coordinate system(where the objects are modeled and defined)

Viewing coordinate system(viewing objects with respect to another user defined coordinate system)

Projection coordinate system(coordinate positions to be on the projection plane)

Device Coordinate System (pixel positions in the plane of the output device)

steps to establish a Viewing coordinate system or view reference coordinate system and the view plane

Transformation from world to viewing coordinates

Translate the view reference point to the origin of the world coordinate system

Apply rotations to align the axes

– Three rotations of three axes

– Composite transformation matrix (unit vectors u, v, n)

n= N/|N|

u = (V*N) / |V*N|

• v = n * u

Projections

Our 3-D scenes are all specified in 3-D world coordinates. To display these we need to generate a 2-D image - project objects onto a picture plane

Converting From 3-D To 2-D

Projection is just one part of the process of transforming 3D world coordinates to a 2-D projection plane

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Computer Graphics and Multimedia : 3D Viewing |