Introduction of 2-d and 3-d transformations, Computer Graphics

Assignment Help:

Introduction of 2-D and 3-D  Transformations

In this, the subsequent things have been discussed in detail as given below:

  • Different geometric transformations as translation, scaling, reflection, shearing and rotation.
  • Translation, Reflection and Rotation transformations are utilized to manipulate the specified object, where Shearing and Scaling both transformation changes their sizes.
  • Translation is the process of altering the position but not the shape/size, of an object with respect to the origin of the coordinate axes.
  • In 2-D rotation, an object is rotated via an angle θ. There are two cases of 2-Dimentional rotation: case1- rotation regarding to the origin and case2- rotation regarding to an arbitrary point. Consequently, in 2-D, a rotation is prescribed by an angle of rotation θ and a centre of rotation, as P. Conversely, in 3-D rotations, we require to mention the angle of rotation and the axis of rotation.
  • Scaling process is mostly utilized to change the shape or size of an object. The scale factors find out whether the scaling is a magnification, s>1 or a reduction as s<1.
  • Shearing transformation is a particular case of translation. The consequence of this transformation looks like "pushing" a geometric object in a direction which is parallel to a coordinate plane as 3D or a coordinate axis as 2D. How far a direction is pushed is found by its shearing factor.
  • Reflection is a transformation that generates the mirror image of an object. For reflection we require to know the reference axis or reference plane depending upon where the object is 2-D or 3-D.
  • Composite transformation engages more than one transformation concatenated in a particular matrix. Such process is also termed as concatenation of matrices. Any transformation made about an arbitrary point makes use of composite transformation as Rotation regarding to an arbitrary point, reflection regarding to an arbitrary line, and so on.
  • The utilization of homogeneous coordinate system to shows the translation transformation into matrix form, enlarges our N-coordinate system along with (N+1) coordinate system.

Related Discussions:- Introduction of 2-d and 3-d transformations

BINARY, WHAT THAT S MEANS 0001

WHAT THAT S MEANS 0001

What do you understand by complementary colors, Problem : a. (i) Giv...

Problem : a. (i) Give another name for adjacent color. (ii) Describe briefly what do you understand by an adjacent color? b. (i) Describe briefly what do you unders

DDA, limitationsof dda

limitationsof dda

Dda or digital differential analyzer algorithm, DDA or Digital Differential...

DDA or Digital Differential Analyzer Algorithm - Line generation algorithms From the above discussion we get that a Line drawing is accomplished through calculating intermedi

Engineering-applications for computer animation, Engineering: CAD has alwa...

Engineering: CAD has always been an imperative tool in industry. For illustration in automobile design, CAD could be utilized to model a car. Although with the advent of computer

Differentiate between spatial and temporal interpolations, Question 1: ...

Question 1: (a) Define what you understand by the following terms: i) Pixel ii) Pixel Aspect Ratio iii) Frame rates. iv) Animation In each of the above, use diagr

Raster and random scan display technologies, Raster and Random Scan Display...

Raster and Random Scan Display Technologies For display or printing graphics objects, various technologies have been invented. Research and development is still on for getting

Aspect ratio - display devices, Aspect ratio - Display Devices Ratio of...

Aspect ratio - Display Devices Ratio of vertical points to horizontal points necessary to produce equal length lines in both directions on the screen. For example, in a CRT mon

Computer Animation, Computer Animation The term Animation is derived fr...

Computer Animation The term Animation is derived from 'animate' that literally means 'to give life to', 'Animating' a thing implies to impart movement to something that can't m

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