INTRODUCTION


What are Geometric transformations?

Geometric tranformations are the trasformations used to alter or manipulate pictures in a graphics package.Changes in orientation,size and shape are accomplished with geometric transformations that alter the coordinate descriptions of objects.

Applications

Design applications and facility layouts are created by arranging the orientations and sizes of the component parts of the scene.Animations are produced by moving the objects in a scene along animation paths.

 

 

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 »