SFR | e-Content Development Program

Matrix represntations

For translation, the transformation equvations are written as

which can be written as

For rotation about origin, the transformation equvations are written as

which can be written as

For scaling relative to origin, the transformation equvations are written as

which can be written as

Introduction

Geometric tranformations are the trasformations used to alter or manipulate pictures in a graphics package.Changes in orientation,size … Read more »
Basic Transformations

There are three basic transformations from which any other transformation can be obtained.They change the orientation,size and shape… Read more »
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 »