Transformation for 3-d scaling, Computer Graphics

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 is a magnification as s>1 or a reduction, s<1. 2-dimensional scaling, is in equation (8), can be simply extended to scaling in 3-dimensional case by consisting the z-dimension.

For any point (x,y,z), we move in (x.sx,y.sy,z.sz), here sx, sy, and sz are the scaling factors in the x,y, and z-directions correspondingly.

Hence, scaling w.r.t. origin is given by:

Ssx,sy,sz =    x'= x.sx

         y'= y.sy                                                  

z'= z.sz

In matrix form:

1186_Transformation for 3-D Scaling 1.png

In terms of Homogeneous coordinate system, above equation is written as:

1834_Transformation for 3-D Scaling 2.png

As, P'=P. Ssx,sy,sz

Posted Date: 4/3/2013 6:11:20 AM | Location : United States







Related Discussions:- Transformation for 3-d scaling, Assignment Help, Ask Question on Transformation for 3-d scaling, Get Answer, Expert's Help, Transformation for 3-d scaling Discussions

Write discussion on Transformation for 3-d scaling
Your posts are moderated
Related Questions
is there any plugin available to draw a picture in wpf dotnet programming using microsoft visio?

Role in Education and Training:- A multimedia presentation is an important way to introduce new concepts or described a new technology. Individuals determine it easy to understand

Q.   Describe different types of parallel and perspective projection used in computer graphics.

what is the control for Why Video Game Characters Look Better Today

Magnify a triangle with vertices A = (1,1), B = (3,1) and C = (2,2) to twice its size in such a way that A remains in its original position.  Answer: You need to apply scaling b



Line Drawing Display - Random Scan Display Device The display through this system is termed as Line Drawing Display. The sequence controls the subsequent stages, demonstrated

Example: Exemplify the Bresenham line generation algorithm through digitizing the line along with end points (20, 10) and (30, 18) Solution: m =    (y2 - y1)/( x2 - x1)  =

Distinguish between uniform scaling and differential scaling?  When the scaling factors sx and sy are assigned to the similar value, a uniform scaling is produced that maintain