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

Overview of hardware primitives, Overview of Hardware Primitives With t...

Overview of Hardware Primitives With the advancement of computer technology, computer graphics has become a practical tool used in real life applications in diverse areas such

Test for checking disjoint polygons by using of min-max test, Test For chec...

Test For checking Disjoint Polygons by using of Min-max Test Test 1: For checking disjoint polygons by using of Min-max test. Assume that you have two polygons as P1 and

Draw a long line segment using dda line drawing algorithm, Draw a long line...

Draw a long line segment using (i) DDA line drawing algorithm (ii) Bresenham line drawing algorithm (iii) OpenGL function using GL_LINES.  Observe if DDA line segment deflects from

Languge, what languge do computers speak

what languge do computers speak

Mpeg-1, MPEG-1 : MPEG-1 that is Moving Picture Experts Group format 1 is a...

MPEG-1 : MPEG-1 that is Moving Picture Experts Group format 1 is an industry standard encoding format that is broadly used. Its normal format is a frame size of about 352 x 240 an

#title., WHAT IS PAINTERS ALGORITHM?

WHAT IS PAINTERS ALGORITHM?

Reflection, determine the tranformation matrix for reflection,computer grap...

determine the tranformation matrix for reflection,computer graphics

Diffuse reflection - polygon rendering & ray tracing methods, Diffuse Refle...

Diffuse Reflection - Polygon Rendering & Ray Tracing Methods It is characteristic of light reflected from a non-shiny, dull surface. Objects illuminated solely through diff

High level techniques - motion specification, High Level Techniques (Motion...

High Level Techniques (Motion Generalized) These are techniques utilized to explain the general motion behavior of any type of graphic object. Such techniques are algorithms o

Delta-delta arrangement and in-line arrangement, Delta-Delta Arrangement an...

Delta-Delta Arrangement and In-Line Arrangement There are two types of shadow masks available, delta-delta arrangement and in-line arrangement. The in-line arrangement refers t

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