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:

T_v=

2344_Translate a square 2.png

So new object point coordinates are:

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

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

Phong model or phong specular reflection model, Phong Model or Phong Specul...

Phong Model or Phong Specular Reflection Model It is an empirical model that is not based on physics, although physical observation. Phong observed here for extremely shiny su

Construction of an isometric projection - transformation, Construction of a...

Construction of an Isometric Projection - Transformation In this projection, the direction of projection i.e. d = (d 1 ,d 2 ,d 3 ) makes an identical angles with all the 3-pr

Polygon clipping algorithm, Write a polygon clipping algorithm to clip a po...

Write a polygon clipping algorithm to clip a polygon against rectangular clipping are. Read the vertices of polygon to be clipped. 2. Read the coordinates of the rectangular cl

Raster and random scan displays - hardware primitive, Raster and random sca...

Raster and random scan displays In Raster scan displays, whole screen is refreshed a number of times in a second to keep the picture visible on the screen. This is called refre

Program in c language, to implement cohen sutherland

to implement cohen sutherland

Reflection about a line - 2-d and 3-d transformations, Reflection about a L...

Reflection about a Line - 2-D and 3-D Transformations Reflection is a transformation that produces the mirror image of an object. Since we discussed that the mirror reflection

Vecgen algorithem for line, explain vecgen algorithem for line drawing in c...

explain vecgen algorithem for line drawing in computer graphics

Reflection, Determine the transformation matrix for the reflection, Compute...

Determine the transformation matrix for the reflection, Computer Graphics

Graphics, GRAPHICS: It is one of the core elements of any multimedia ...

GRAPHICS: It is one of the core elements of any multimedia application. We all have heard a well-known saying as "one picture conveys a message of 1000 words", hence without

Compression methods utilized for digital video, Compression methods utilize...

Compression methods utilized for digital video can be categorized in three major groups: General reason compression techniques can be utilized for any type of data. Intr

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages