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

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.
Posted Date: 4/3/2013 6:14:51 AM | Location : United States







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

Write discussion on Introduction of 2-d and 3-d transformations
Your posts are moderated
Related Questions
Chemistry: Computer animation is a very helpful tool in chemistry. Several things in chemistry are too small to see, and handle or do experiments on like, molecules and atoms for

Question: (a) After having worked for several years as a graphic designer you decide to start a company of your own; MediaDesign ltd. The most valuable asset of a company is i

What is Multimedia: People only remember 20 percent of what they see and 30 percent of what they hear. But they keep in mind 50 percent of what they see and hear and as much as 80

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

Numerically-Controlled Machines: Prior to the development of Computer-aided design, the manufacturing world adopted elements controlled through numbers and letters to fi

Analog Sound vs. Digital Sound Sound engineers have been debating the respective merits of digital and analog sound reproduction ever if the form of digital sound recordings.

composite transformation

Bresenham Line Generation Algorithm for Positive Slope (BLD algorithm for positive slope (0 - If slope is negative then utilize reflection transformation to transform the

File Formats that are used for Bitmap Data Bitmap data can be saved in a wide variety of file formats are: • BMP: restricted file format that is not appropriate for use in