What is homogeneous coordinate, Computer Graphics

Assignment Help:

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. 


Related Discussions:- What is homogeneous coordinate

Parameterized systems - computer animation, Parameterized Systems - Compute...

Parameterized Systems - Computer Animation Parameterized Systems is the systems which permit objects motion features to be given as part of the object descriptions. The adjus

Multimedia tool features, Multimedia Tool Features General to nearly a...

Multimedia Tool Features General to nearly all multimedia tool platforms are various features for encapsulating the content, presenting the data, acquiring user input and cont

Line drawing algorithm, when dda line drawing algorithm is more efficient t...

when dda line drawing algorithm is more efficient than bresenhem line drawing algorithm?

Animation, name some of the standard motion in key frames

name some of the standard motion in key frames

Applications of computer graphics, Applications of Computer Graphics Wh...

Applications of Computer Graphics When you begin using a computer and open an application, you simply click on a graphics object, called icon. When you watch TV, several times

Area-subdivision method, Area-Subdivision method This method is a ty...

Area-Subdivision method This method is a type of an image-space method although uses object-space operations re-ordering or sorting of surfaces as per to depth. Area sub-div

Basics of animation - computer animation, Basics of Animation - Computer an...

Basics of Animation - Computer animation Historical and traditional methods for production of animation: As we have studied the transformations linked in computer graphics

Interpolation of surface - polygon rendering, Interpolation of surface - Po...

Interpolation of surface - Polygon Rendering Interpolation of surface normals beside the polygonedge between two vertices is demonstrated above in the figure 15. Here the norm

What is aspect ratio, What is Aspect ratio?  The ratio of vertical poin...

What is Aspect ratio?  The ratio of vertical points to the horizontal points essential to produce length of lines in both directions of the screen is known as the Aspect ratio.

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