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

Illustration, mcqs of illustration in nts test

mcqs of illustration in nts test

Explain vector data model with examples, Question 1 How does GIS differ fr...

Question 1 How does GIS differ from traditional Maps? Explain Question 2 Explain vector data model with examples Question 3 What is spatial analysis? explain

Geometric continuity - properties of bezier curves, Geometric continuity - ...

Geometric continuity - Properties of Bezier Curves Geometric continuity is the other process to join two successive curve sections. G 0 continuity is the similar as parametri

Applications that can handle bitmap data, Applications that can handle Bitm...

Applications that can handle Bitmap Data Hundreds of applications are there in the market which can be used to modify or make bitmap data. For illustration: Adobe Photo Shop, C

Design a graphical user interface, 1. Implement proper exception handling m...

1. Implement proper exception handling mechanism for this application. 2. Display all data a. Search specific data (depending of the user selection, your application should e

Types of animation systems, Types of Animation Systems: Keyframe, scriptin...

Types of Animation Systems: Keyframe, scripting and parameterized •Morphing: object shape's transformation from one form to the other is termed as morphing that is short form

Transformation for parallel projection, Transformation for parallel project...

Transformation for parallel projection Parallel projections is also termed as Orthographic projection, are projections into one of the coordinate planes as x = 0, y = 0 or z

General perspective transformation, General Perspective transformation w.r....

General Perspective transformation w.r.t. an arbitrary center of projection Suppose here that the COP is at C(a,b,c), as demonstrated in Figure. By Figure, the vectors CP

Trivial acceptance case of cohen sutherland line clippings, Trivial accepta...

Trivial acceptance case of cohen sutherland line clippings Case 1: it is Trivial acceptance case whether the UDLR bit codes of the end points P, Q of a provided line is 0000

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