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

Multimedia, Multimedia- It is a new aspect of literacy which is being recog...

Multimedia- It is a new aspect of literacy which is being recognized as technology expands the manner people communicate. The principle of literacy increasingly, is a measure of th

Basic ray tracing algorithm - polygon rendering, Basic Ray Tracing Algorith...

Basic Ray Tracing Algorithm - Polygon Rendering The Hidden-surface removal is the most complete and most versatile method for display of objects in a realistic fashion. The co

Raster scan Display, Draw and explain the diagram of a Raster scan system w...

Draw and explain the diagram of a Raster scan system with a display processor. Explain each unit of the diagram.

Number system, Perform the indicated base conversions 548 to base 5

Perform the indicated base conversions 548 to base 5

Plane equation - spatial orientation of the surface element, Plane equation...

Plane equation - spatial orientation of the Surface Element For some of Plane equation procedures, we have information regarding the spatial orientation of the individual surf

Panning and zooning, what is zooming and panning in computer graph please e...

what is zooming and panning in computer graph please explan??

Application in image capture formats, Application Interlacing is utiliz...

Application Interlacing is utilized through all the analogue TV broadcast systems in recent use as: NTSC: 59.94 fields per second, 525 lines, still field drawn first

Briefly describe what you understand by smoothing, Question: (a) List a...

Question: (a) List and explain different types of lights that can be used in After Effects. (b) How is the density of dots between the boxes in a motion path related to th

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