There are three basic transformations from which any other transformation can be obtained.They change the orientation,size and shape… Read more »
translation
What is translation?
Translation is a transformation that repositions and object along a straight line path from one coordinate location to another.
A two dimensional point is translated by adding translation distances tx and ty to the original coordinate position(x,y) to move to a new position(x',y').Mathematically,
x'=x+tx
y'=y+ty
where (tx,ty) is the translation vector.
In short ,Translation is rigid - body transformation that moves objects without deformation. Every point on the object is translated by the same amount.
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 »