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

Transformation, Explain window to view port transformation

Explain window to view port transformation

Prepare an initial sorted edge list, Q: For the following polygon, prepare ...

Q: For the following polygon, prepare an initial sorted edge list and then make the active edge list for scan lines y = 5,20,30,35 Coordinates of the vertices are as shown in Figur

Character Generation, Explain Various techniques of Character Generation Al...

Explain Various techniques of Character Generation Algorithm?

Reflection and shear - output primitives, Reflection and Shear There ar...

Reflection and Shear There are a few important transformations which are not primitive in the sense that they can be expressed as compositions of translation, rotation and scal

2d clipping, What is 2d clipping in computer graphics

What is 2d clipping in computer graphics

Containment test - visible surface detection, Containment Test -  visible s...

Containment Test -  visible surface detection Test: That is Containment test: it can be either comprised (contained) or surrounding polygon, if intersection test fails. The

Odd-even rule and non-zero winding number rule, What is the difference betw...

What is the difference between odd-even rule and non-zero winding number rule to identify interior regions of an object? Develop an algorithm for a recursive method for filling a 4

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