Transformation for 3-d translation, Computer Graphics

Assignment Help:

Suppose P be the point object along with the coordinate (x,y,z). We want to translate such object point to the new position as, P'(x',y',z') through the translation Vector as V=tx.I+ty.J+tz.K , here tx , ty and tz  are the translation factor into the x, y, and z directions correspondingly, as demonstrated in Figure 8. It is, a point (x,y,z) is shifted to (x+ tx,y+ ty,z+ tz). Hence the new coordinates of a point can be written:

819_Transformation for 3-D Translation 1.png

In terms of homogeneous coordinates, above equation  becomes:

That is: P'h = Ph.Tv

1443_Transformation for 3-D Translation 2.png

 


Related Discussions:- Transformation for 3-d translation

Explain the advantage and disadvantage of raster crt, Explain the advantage...

Explain the advantage and disadvantage of Raster CRT Advantages Allows solids, not just wireframes Leverages low-cost CRT technology (i.e., TVs) Bright, i.e.

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

Assignemt, i need help in my Engineering graphic assignment

i need help in my Engineering graphic assignment

Concept of area subdivision method, Q.   Explain the concept of area subdiv...

Q.   Explain the concept of area subdivision method. Write the conditions, when no further subdivision is needed and how we can test these condition. Ans. Area Subdivision Th

Detecting skin in colour images, In this lab you will learn how to use chro...

In this lab you will learn how to use chrominance1 to segment coloured images. Here you be detecting skin, however, you could use this method to detect other coloured regions in im

CRT, why there is coating of phosphorous on CRT screen?

why there is coating of phosphorous on CRT screen?

Subdivision algorithm - visible surface detection, Subdivision Algorithm - ...

Subdivision Algorithm - Visible Surface Detection 1) Initialize the area to be the whole screen. 2) Create a PVPL regarding an area, sorted on z min as the smallest z coor

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