What is homogeneous coordinate, Computer Graphics

What is homogeneous coordinate? Discuss the composite transformation matrix for two successive translations and scaling.

In design and picture formation process, many times we may require to perform translation rotation and scaling to fit the picture components into their proper positions. In the previous section we have seen that each of the basic transformation can be expressed in the general matrix form. To produce a sequence of transformations with above equations, such as translation followed by rotation and then scaling, we must calculate the transformed coordinate’s one step at a time. First coordinates are translates then these translated coordinates are scaled and finally the scaled coordinates are rotated. But this sequence of transformation process is not efficient. A more efficient approach is to combine sequence of transformation into one transformation so that the final coordinate position is obtained directly from initial coordinate. This eliminates the calculation of intermediate coordinate values. In order to combine sequence of transformation terms in M2. To achieve this we have to represent matrix M as 3 * 3 matrixes instead of 2 * 2 introducing an additional dummy coordinate W. Here points are specified by three numbers instead of two. This coordinate system and it allows us to express all transformation equations as matrix multiplication. For two dimensional transformation we can have =1. 

Posted Date: 7/1/2012 6:47:30 AM | Location : United States







Related Discussions:- What is homogeneous coordinate, Assignment Help, Ask Question on What is homogeneous coordinate, Get Answer, Expert's Help, What is homogeneous coordinate Discussions

Write discussion on What is homogeneous coordinate
Your posts are moderated
Related Questions
what do you means by bresenham s him algorithm

The purpose of this assignment is for you to create an animation like you would see on an electronic greeting card. Have fun and be creative.  Here are the requirements: you

For this assignment, you will program a game called Pig. Pig is a two-player game where players compete to be the first to reach (or surpass) 100 points. Pig usually involves playe

Question 1 What is JPEG? How do you change the quality of a JPEG image? Question 2 What are the advantages and challenges of virtual classroom? Question 3 What do

Icon Based or Event Driven Tools In such authoring systems, multimedia components and interaction cues or events are organized like objects in a structural process or framework

What is character generation and explain it''s two method: 1> Bitmap method 2> outline method.

Question 1 How does GIS differ from traditional Maps? Explain Question 2 Explain vector data model with examples Question 3 What is spatial analysis? explain

Transformation for 3-D Scaling As we already seen that the scaling process is mainly utilized to change the size of an object. The scale factors find out whether the scaling i

JPEG Graphics: Another graphic file format usually utilized on the Web to minimize graphics file sizes is the Joint Photographic Experts Group that is JPEG compression scheme. Not

Explain about the Computer animation Computer animation is the art of creating moving images by computer software and hardware. For 3D animation, objects are designed on a