There are three basic transformations from which any other transformation can be obtained.They change the orientation,size and shape… Read more »
translation-contd
A straight line is translated by applying the transformation to the line end points and redraw the line between the new end point positions.
Polygons are translated by translating each vertex and regenerating the polygon using new set of vertices.
To change the position of circle or ellipse,translate the center coordinates and redraw the same with the new centre.
The translation factors can be negative or positive.A negative value of tx will move the object to the left and a positive value of tx will move the object right.A negative value of ty will move the object down and a positive value of ty will move the object up.
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 »