SFR | e-Content Development Program

other transformations contd

Shear:

Shear transformations distort the shape of an object by shifting x or y coordinate values by an amount proportional to the coordinate distance from a shear reference line.

x-shear relative to x axis is produced with x'= x+shx * y ; y'=y

The matrix for x-shear is given by

y-shear relative to y axis is produced with x'= x ; y'=y+shy* y

The matrix for y-shear is given by

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 »

other transformations contd

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Geometric Transformations by Mrs.S.Sathya

Introduction

Basic Transformations

Translation

Rotation

Scaling

Homogeneous Coordinates

Matrix Representations

Other Transformations