Advantage of initiating the matrix form of translation, Computer Graphics

Advantage of Initiating the Matrix Form of Translation

The advantage of initiating the matrix form of translation is as it expresses the operations on complicated objects that are we can now build complicated transformations via multiplying the basic matrix transformations. Conversely, we can see that a sequence of transformation matrices can be concatenated in a particular matrix. It is an effectual procedure as it decreases the computation since instead of applying first coordinate position of an object to all transformation matrixes; we can acquire the last transformed position of an object by applying composite matrix to the first coordinate position of an object. Standard method of implementing transformations in computer graphics is Matrix illustration.

Hence, from the point of view of matrix multiplication, along with the matrix of translation, another basic transformation as scaling, reflection and rotation etc, can also be illustrates as 3x3 homogeneous coordinate matrices. It can be accomplished via augmenting the 2x2 matrices along with a third row (0,0,x) and a third column, which is:

 

 

Posted Date: 4/3/2013 5:57:04 AM | Location : United States







Related Discussions:- Advantage of initiating the matrix form of translation, Assignment Help, Ask Question on Advantage of initiating the matrix form of translation, Get Answer, Expert's Help, Advantage of initiating the matrix form of translation Discussions

Write discussion on Advantage of initiating the matrix form of translation
Your posts are moderated
Related Questions
Scan Line Algorithm A scan line algorithm determines the overlap intervals of the polygon with each scan line to obtain interior points of the polygon for assigning those point

Display Devices - Graphics Hardware Since the importance of output and input devices has been discussed over, so let us now focus our discussion particularly on display dev

Composite Transformations - 2-d and 3-d Transformations We can build complicated transformations as rotation regarding to an arbitrary point, mirror reflection about a line, a


Combined consequence of ambient and diffused reflection At this time the resulting intensity I will be the total sum of the intensities in case 8.3.2 and 8.3.3 we find that:

Three Dimensional Transformations A 3D geometric transformation is used extensively in object modelling and rendering.2D transformations are naturally extended to 3D situations

Steps for clip a line segment-PQ Initially, find all the points of intersections of the line segment PQ along with the edges of the polygonal window and describe them eith

Distinguish between window port & view port?  A portion of a picture that is to be displayed by a window is called as window port. The display area of the part selected or the f

Types of Refresh Monitors - Raster Scan and Random Scan There are two types of refresh monitors, i.e. the Raster Scan and Random Scan that will be illustrated separately.

Implement displacement mapping and bump mapping on a sphere. The displacement can be whatever your choice. The bump map can be whatever your choice as well.