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

Overstriking, why overstriking is harmful.justify

why overstriking is harmful.justify

Distinguish between uniform scaling and differential scaling, Distinguish b...

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

Modal create, morgen wants to sign up for an account on doggobook, the worl...

morgen wants to sign up for an account on doggobook, the world''s thrid - best social network for dog enthusiasts. she enters her email address and a password into the sign-up form

What do you meant by the term typography, Question 1: (a) What do you m...

Question 1: (a) What do you meant by the term typography and what is its main purpose? (b) Differentiate between typeface and font using examples. (c) Design knows many diffe

Flat panel displays - hardware primitives, Flat Panel Displays - Hardware P...

Flat Panel Displays - Hardware Primitives 1.  Flat panel displays have now become more common. These include liquid crystal displays (LCD) and thin film electroluminescent disp

Graphic file compression formats, Graphic File Compression Formats Web...

Graphic File Compression Formats Web graphics are by requirement compressed due to the bandwidth issues surrounding networked delivery of information and since image files inc

Interactive Computer Graphics, Explain the different input modes used in in...

Explain the different input modes used in interactive computer graphics.

Define b-spline curve, Define B-Spline curve?  A B-Spline curve is a se...

Define B-Spline curve?  A B-Spline curve is a set of piecewise (usually cubic) polynomial segments that pass close to a set of control points. Though the curve does not pass by

Please give me ans, Differences between digital differential analyzer and ...

Differences between digital differential analyzer and VECGEN line algorithm?

Detecting skin in colour images, In this lab you will learn how to use chro...

In this lab you will learn how to use chrominance1 to segment coloured images. Here you be detecting skin, however, you could use this method to detect other coloured regions in im

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