There are three basic transformations from which any other transformation can be obtained.They change the orientation,size and shape… Read more »
Frequently Asked questions
1.List and explain the basic rotation transformation with examples.
2.What is the effect of the translation transformation?Explain with examples.
3.Explain briefly about scaling transformations.
4.Write short notes on reflection and shear.
5.Describe the rotation about any pivot point.
6.Describe the scaling about any fixed point.
7.Write a note on homogeneous coordinate systems.
8.Derive a 3 x 3 matrix for translation.
9.Explain with suitable examples the two dimensional transformation principles with matrix representation
Geometric Transformations by Mrs.S.Sathya
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Introduction
Geometric tranformations are the trasformations used to alter or manipulate pictures in a graphics package.Changes in orientation,size … Read more »
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Basic Transformations
Translation
Translation is a transformation that repositions and object along a straight line path from one coordinate location to another. … Read more »
Rotation
Rotation of an object is repositioning it along a circular path in the xy plane.To rotate, we need to specify a rotation angle θ and the rotation point(xr,yr) about which the object is rotated. … Read more »
Scaling
A Scaling transformation alters the size of an object.Scaling is carried out by applying scaling factors sx,sy for xand y direction … Read more »
Homogeneous Coordinates
Homogeneous coordinates are coordinates used to represent the cartesian coordinate (x,y) as three - element vector.We represent each cartesian … Read more »
Matrix Representations
For translation, the transformation equvations are written as … Read more »
Other Transformations
Other transformations inculde Reflection and Shear. Reflections : Reflections are transformations that rotate an object 180" about a reflection axis. … Read more »