Transformation for 3-d scaling, Computer Graphics

Assignment Help:

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


Related Discussions:- Transformation for 3-d scaling

70, how you doing the graphic?

how you doing the graphic?

What is automatic data capture, Automatic Data Capture There are numero...

Automatic Data Capture There are numerous techniques available to collect data automatically without the need for manual entry. Manual entry is slower, more costly (need to emp

3d graphics, Define hermite interpolation in deatail description with examp...

Define hermite interpolation in deatail description with example?

What is computer graphics, What is Computer Graphics. Computer graphic...

What is Computer Graphics. Computer graphics remains most existing and rapidly growing computer fields. Computer graphics may be explained as a pictorial representation or gra

Briefly describe jackson''s theorem, Question 1 What is Packet-switching n...

Question 1 What is Packet-switching network? Discuss its basic operation Question 2 Briefly describe Jackson's theorem Question 3 List and explain the two popular

Categories of reflection - ray tracing methods , Categories of Reflection -...

Categories of Reflection - Ray Tracing Methods In order to achieve realism, such phenomenon of reflection, which occurs because of interaction of light and surface, is require

What you mean by parallel projection, What you mean by parallel projection?...

What you mean by parallel projection?  Parallel projection is one in which z coordinates is discarded and parallel lines from every vertex on the object are extended unless the

Geometrical examine types of line clipping, Geometrical examine Types of Li...

Geometrical examine Types of Line Clipping Geometrical examine of the above kinds of clipping (it assists to get point of intersection of line PQ along with any edge). Assu

Picture information - raster graphics and clipping, Picture Information - ...

Picture Information - Raster Graphics and  Clipping Now, the picture information is accumulated in the form of bit plans on which all bit plane complete information of pictur

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