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

Data set, In this project, the image data set consists of 320 training imag...

In this project, the image data set consists of 320 training images and 285 test images. Table 1 shows the image data set in details. In addition to the original images, th

Drawing program with object- oriented design, For this assignment, you will...

For this assignment, you will add to the drawing program new features that are similar to features that you already have. Apply object-oriented design concepts such as inheritance

Filled-area primitives - output primitives, Filled-Area Primitives  Fil...

Filled-Area Primitives  Filled-area primitives are one of the most important types of primitives used in Computer Graphics.  Basically filled-area primitives are meant to fill

Digital painting, Please guide if there is any easy steps tutorial availabl...

Please guide if there is any easy steps tutorial available for digital painting in adobe photoshop.

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

Example of bezier curves - modeling and rendering, To prove: P (u = 0) = p0...

To prove: P (u = 0) = p0 Solution : = p 0 B n,0 (u) + p 1 B n, 1 (u) +...... + p n B n, n (u)...............(1)  B n,i (u) = n c i u i (1 - u) n-i B n,0

Procedural animation - computer animation, Procedural Animation - Computer ...

Procedural Animation - Computer Animation This category of animation is utilized to produce real time animation that permits a more diverse series of actions to occur. These a

CRT, Explain working of CRT

Explain working of CRT

Three dimensional transformations, Three Dimensional Transformations A ...

Three Dimensional Transformations A 3D geometric transformation is used extensively in object modelling and rendering.2D transformations are naturally extended to 3D situations

Dv encoder type 1, DV Encoder Type 1 : The video and audio streams are tog...

DV Encoder Type 1 : The video and audio streams are together interfaces by standard DV bit stream. Such format is fully supported through DirectShow which accepts this interleaved

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