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

Derive the common transformation of parallel projection, Derive the common ...

Derive the common transformation of parallel projection into the xy-plane in the direction of projection d=aI+bJ+cK. Solution: The common transformation of parallel projection

Categorization of light resources - point source, Categorization of Light r...

Categorization of Light resources - Point source This is the easiest model for a light emitter. Currently rays from source obey radically diverging ways from the source positi

Types of animation systems, Types of Animation Systems: Keyframe, scriptin...

Types of Animation Systems: Keyframe, scripting and parameterized •Morphing: object shape's transformation from one form to the other is termed as morphing that is short form

Trivial rejection case of cohen sutherland line clippings, Trivial Rejectio...

Trivial Rejection Case of cohen sutherland line clippings Case: it  is Trivial Rejection Case; if the logical intersection (AND) of the bit codes of the end points P, Q of

File formats that are used for bitmap data, File Formats that are used for ...

File Formats that are used for Bitmap Data Bitmap data can be saved in a wide variety of file formats are: • BMP: restricted file format that is not appropriate for use in

Estimate general light such as bouncing around scene, identify a sphere alo...

identify a sphere along with a light source above it; hence its lower half will not be illuminated. In practice in a actual scene this lower half would be partially illuminated thr

Translate a square - 2-d and 3-d transformations, Example1: Translate a sq...

Example1: Translate a square ABCD along with the coordinates as: A(0,0),B(5,0),C(5,5),D(0,5) via 2 units in x-direction and 3 units in y-direction. Solution: We can show the

Interactive computer animation, Interactive Computer Animation Interac...

Interactive Computer Animation Interactive Computer Animation that is interactively utilized by users for example: games. Sprite animation is interactive and utilized broadly

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