Transformation for 3-d scaling, Computer Graphics

Assignment Help:

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---------(43)

In matrix form:

352_equation 44.png------------------------(44)

In terms of Homogeneous coordinate system, above equation (44) is written as:

1878_equation 45.png

As, P'=P. Ssx,sy,sz      -----------------------------(45)


Related Discussions:- Transformation for 3-d scaling

Z-buffer, describe z-buffer algorithm removing hidden surface

describe z-buffer algorithm removing hidden surface

Retracing, what do you mean by retracing? Define horizontal as well as Vert...

what do you mean by retracing? Define horizontal as well as Vertical retracing?

Sequence of steps to generate a full animation, Sequence of Steps to Genera...

Sequence of Steps to Generate a Full Animation The sequence of steps to generate a full animation would be as given below: 1)  Improve a script or story for the animation.

Scan-line method, In contrast to depth-buffer method, here we identify one ...

In contrast to depth-buffer method, here we identify one surface at one time, scan-line method deals along with multiple surfaces. Since it processes each scan-line at one time, al

Algorithms for identification of observable objects, Algorithms for Identif...

Algorithms for Identification of Observable Objects There are various algorithms for identification of observable objects for various types of applications. Several methods ne

Overstriking, why overstriking is harmful.justify

why overstriking is harmful.justify

Polygon meshes - modeling and rendering, Polygon Meshes - Modeling and Rend...

Polygon Meshes - Modeling and Rendering A polygonal surface to be sketched may not be easy and may have enormous curls and curves. Illustration: a crushed piece of paper or cr

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