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

Authoring tools in multimedia, Authoring Tools Authoring tools genera...

Authoring Tools Authoring tools generally refers to computer software that assists multimedia developers produce products. Authoring tools are various from computer programmi

3D transformation, what are the steps involved in 3D transformation

what are the steps involved in 3D transformation

Boundary-fill algorithm or flood-fill algorithm , boundary-fill algorithm o...

boundary-fill algorithm or flood-fill algorithm As you saw the implementation of scan line polygon fill requires that boundaries should be straight line segments.  The seed fi

List out the merits and demerits of dvst, List out the merits and demerits ...

List out the merits and demerits of DVST?  The merits and demerits of direct view storage tubes [DVST] are as follows  It has a flat screen Refreshing of screen is

What is transformation, What is Transformation?  Transformation is the ...

What is Transformation?  Transformation is the method of introducing changes in the shape size and orientation of the object using scaling rotation reflection shearing & transl

Define the term -monitoring, Define the term -Monitoring Chemical and n...

Define the term -Monitoring Chemical and nuclear plants (monitoring key parameters), hospitals (monitoring patient's vital signs), burglar alarms (monitoring for intruders) etc

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