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

Key frame systems, Ask questionkms eey frame syst #Minimum 100 words accept...

Ask questionkms eey frame syst #Minimum 100 words accepted#

Various cases of cohen sutherland line clippings - algorithm, Various cases...

Various cases of Cohen Sutherland Line Clippings Currently, we study how this clipping algorithm works. For the sake of simplicity we will tackle all the cases with the assist

What are the important properties of bezier curve, What are the important p...

What are the important properties of Bezier Curve?  It requires only four control points It always passes by the first and last control points The curve lies enti

Graphics programming, Explain rubber-band interactive picture technique

Explain rubber-band interactive picture technique

Education, Education, Training, Entertainment and Computer Aided Design ...

Education, Training, Entertainment and Computer Aided Design CAD or CADD is an acronym which depending upon who you ask, can stand for: I. Computer Assisted Design. II.

Voltage or electro-magnetic field tablet and pointer, (a)  Voltage or Elect...

(a)  Voltage or Electro-Magnetic Field Tablet and Pointer: This has a grid of wires, embedded in the tablet surface along with various voltages or magnetic fields consequent to va

Panning and zooning, what is zooming and panning in computer graph please e...

what is zooming and panning in computer graph please explan??

Principle vanishing point - perspective projections, Principle Vanishing po...

Principle Vanishing point - Perspective Projections Assume that line 1 and l2 be two straight lines parallel to each other that are also parallel to x-axis. If the projection

Mpeg-2 , MPEG-2 : MPEG-2 that is Moving Picture Experts Group format 2 is ...

MPEG-2 : MPEG-2 that is Moving Picture Experts Group format 2 is the standard used through DVD and is of a much higher quality than MPEG- 1. This format gives for 720 x 480 resolu

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