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

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:


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)


C'(x'3,y'3)=(7,8) and 


Posted Date: 4/3/2013 4:18:37 AM | Location : United States

Related Discussions:- Translate a square - 2-d and 3-d transformations, Assignment Help, Ask Question on Translate a square - 2-d and 3-d transformations, Get Answer, Expert's Help, Translate a square - 2-d and 3-d transformations Discussions

Write discussion on Translate a square - 2-d and 3-d transformations
Your posts are moderated
Related Questions
Representational Animation - Computer Animation This method permits an object to change its shape throughout the animation. There are three sub-types to this. The initial is th

Homogeneous Coordinate Systems - 2-d and 3-d transformations Suppose P(x,y) be any point in 2-D Euclidean (Cartesian) system. In HC System, we add a third coordinate to a poin

QUESTION (a) What is the difference between kerning and tracking? (b) What is the advantage of creating colours in the Swatches panel instead of the Colour panel? (c) Wha

Demerit - phong shading or normal vector interpolation shading Needs lot of computations to determine intensity at a point, hence increases the cost of shading in any impleme

Transformation for 3-D Rotation Rotation in 3-dimensions is considerably more complicated then rotation in 2-dimensions. In 2-Dimentional, a rotation is prescribed via an angl

Important points about Types of light resources - illumination model Note: While we see an opaque non-luminous object, we notice reflected light by one surface of the object

Image Processing Process Images are the last product of most processes in computer graphics. The ISO that is International Standards Organization explains computer graphics as

Disadvantages with the Boundary Representation (i) It requires more storage than the corresponding half-space method. (ii) There is no guarantee that the object created is v

QUESTION (a) Suppose that you have been assigned to re-engineer the existing systems for a company. Do you think that design patterns can be applied to these existing systems?

Associative Links: it is a link that is completely independent of the exact structure of the information. For illustration we have links depends on the meaning of various informat