description of 3D transformation computer graphic

1. Rishi Ram Khanal
BIM 5TH SEMESTER(TU)
ROLL NO.:108

2.  Transformation(Introduction)
 3D Transformation
 Translation
 Rotation
 References
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3. What are they?
 Changing something to something else via
rules
 Mathematics: mapping between values in a
range set and domain set(function/relation)
 Geometric: translate, rotate, scale, shear…
Where are they important to graphics?
 Moving objects on screen/ in space
 Specifying the camera’s view of a 3D scene
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4.  3D transformation are the graphics that use
a three-dimensional representation of
geometric data.
 It is stored in the computer for the purposes of
performing calculations and rendering 2D
images.
 Such images may be stored for viewing later or
displayed in real-time.
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5.  Moving of object is called translation.
 In 3 dimensional representation , a point is
transformed from position P = ( x, y , z) to P’= ( x’,
y’, z’) .
 Using P’ = T . P
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6.  The matrix representation is equivalent to the
three equation.
x’=x+ tx , y’=y+ ty , z’=z+ tz
Where parameter tx , ty , tz are specifying
translation distance for the coordinate direction x
, y, z are assigned any real value.
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7.  Transformation where an object is to be rotated
about an axis that is parallel to one of the co-
ordinate axis.
 We can obtain the desired rotation with the
following transformation sequence:
 X-axis rotation
 Y-axis rotation
 Z-axis rotation
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10.  http://www.cs.cornell.edu/courses/cs4620/
2010fa/lectures/03transforms3d.pdf
 https://www.google.com.np/search?ei=lxox
Wt_DC8mGvQST_7GICQ&q=3D+transformatio
n+in+computer+graphics&oq=3D+transformati
on+in+computer+graphics&gs_l=psy-ab.3
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