Translate a square - 2-d and 3-d transformations, Computer Graphics

Assignment Help:

Example1: Translate a square ABCD along with the coordinates as: A(0,0),B(5,0),C(5,5),D(0,5) via 2 units in x-direction and 3 units in y-direction.

Solution: We can show the square here, in matrix form, by using homogeneous coordinates of vertices as:

1628_Translate a square 1.png

The translation factors are, tx=2, ty=3

 The transformation matrix for translation:

Tv=

2344_Translate a square 2.png

 

So new object point coordinates are:

[A'B'C'D'] = [ABCD].Tv

1270_Translate a square 3.png

Hence, A'(x'1,y'1)=(2,3)

B'(x'2,y'2)=(7,3)

C'(x'3,y'3)=(7,8) and 

D'(x'4,y'4)=(2,8)


Related Discussions:- Translate a square - 2-d and 3-d transformations

Two-dimensional geometric transformations, Two-Dimensional Geometric Transf...

Two-Dimensional Geometric Transformations  When a real life object is modelled using shape primitives, there are several possible applications.  You may be required to do furth

What is the standard video workflow, QUESTION 1. You are a consultant i...

QUESTION 1. You are a consultant in the field of video production and video editing. You haven been requested to participate in a debate over analog and digital video. Write

Prepare a cylinder, Question: (a) Write a short note on the dot syntax...

Question: (a) Write a short note on the dot syntax as used in actionScript. (b) A data type describes the kind of information a variable or ActionScript element can hold.

Algorithms for basic line segment plotting, Algorithms for Basic Line Segme...

Algorithms for Basic Line Segment Plotting There are two important algorithms for basic line segment plotting-DDA algorithm and Bresenham algorithm.  Both the algorithms use th

Types of bitmap images, Types of Bitmap Images Bitmap images can includ...

Types of Bitmap Images Bitmap images can include any number of colours but we distinguish among four main categories as: 1)      Line-art: These are images that include

Bezier curves and surfaces - modeling and rendering, Bezier Curves and Surf...

Bezier Curves and Surfaces We had discussed in the previously that we can create complicated geometries along with the aid of polygon meshes that are further constituted of s

Animator studio and elastic reality - computer animation, Animator Studio a...

Animator Studio and Elastic Reality - Computer Animation Animator Studio It is a cell animation program from AutoDesk. Its predecessor was Animator Pro for PC DOS. Anima

What you mean by parallel projection, What you mean by parallel projection?...

What you mean by parallel projection?  Parallel projection is one in which z coordinates is discarded and parallel lines from every vertex on the object are extended unless the

Projections - 3d primitive and composite transformations, Projections W...

Projections When all display devices are 2D, you need to devise methods that give a realistic view of a 3D scene onto 2D display. With more and more devices coming in the marke

Sutherland cohen line clipping algorithm, Describe briefly Sutherland Cohen...

Describe briefly Sutherland Cohen line clipping algorithm.   OR   Describe Cohen Sutherland line clipping algorithm. Cohen Sutherland line clipping algorithm In this algorith

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd