modules



Introduction
Basic Transformations
Translation
Rotation
Scaling
Homogeneous coordinates
Matrix Representation
Combination of Transformations

Geometric Transformations by Mrs.S.Sathya

  • 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 »