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

Character generation, Ask question #Minimum how can we use stroke method me...

Ask question #Minimum how can we use stroke method method for character generation? 100 words accepted#

Painting and drawing tools in multimedia, Painting and Drawing Tools Pa...

Painting and Drawing Tools Painting software is offered to producing crafted bitmapped images. Drawing software as Corel Draw and Canvas is offered to generating vector depend

Explain parallel and perspective projection, Distinguish between parallel a...

Distinguish between parallel and perspective projection Parallel Projection Perspective projection Coordinate position are transformed

Bezier curves and surfaces - modeling and rendering, Bezier Curves and Surf...

Bezier Curves and Surfaces We had discussed in the previously that we can create complicated geometries along with the aid of polygon meshes that are further constituted of s

#title., WHAT IS PAINTERS ALGORITHM?

WHAT IS PAINTERS ALGORITHM?

Objectives-visible-surface detection, After going through this section, you...

After going through this section, you should be capable to: know the meaning of Visible-surface detection; distinguish among image-space and object-space approach for vi

Rotation about the origin - 2-d and 3-d transformations, Rotation about the...

Rotation about the origin - 2-d and 3-d transformations Specified a 2-D point P(x,y), which we need to rotate, along with respect to the origin O. The vector OP has a length '

Digital & interactive media has been developed in 20th , Digital & Interact...

Digital & Interactive Media has been developed in 20th century: New media improve visual and verbal content. It doesn¹t replace earlier media. New media lets dynamic alteration of

Importance of multimedia, Importance of Multimedia: Multimedia will help i...

Importance of Multimedia: Multimedia will help in spreading the information age to millions of teachers/learners. Today Multimedia educational computing is fastest raising markets

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