3D Viewing - | Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail |

Chapter: Computer Graphics and Multimedia

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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