Transformation for 3-d translation, Computer Graphics

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

 

Posted Date: 4/3/2013 6:02:41 AM | Location : United States







Related Discussions:- Transformation for 3-d translation, Assignment Help, Ask Question on Transformation for 3-d translation, Get Answer, Expert's Help, Transformation for 3-d translation Discussions

Write discussion on Transformation for 3-d translation
Your posts are moderated
Related Questions
What are the features of Inkjet printers?  They can print 2 to 4 pages/minutes. Resolution is about 360d.p.i. Thus better print quality is achieved. The operating

Vanishing Point - Viewing Transformations This point is that point at those parallel lines shows to converge and vanish. A practical illustration is a long straight railroad

Plane equation - spatial orientation of the Surface Element For some of Plane equation procedures, we have information regarding the spatial orientation of the individual surf

Numerical Analysis Packages: generally utilized software is: MatLab. Characteristics: Focus generally on numeric processing. Programming with mathematical skills usuall

are you a robot

Implement the Scan line polygon fill algorithm for any arbitrary polygon in C-language and then use your code to fill each of the following type of polygon. i)  Convex polygon

Compression methods utilized for digital video can be categorized in three major groups: General reason compression techniques can be utilized for any type of data. Intr

Use of Interactive Multimedia in Education Virtual reality, where 3-D experimental training can simulate real situations. Computer simulations of things too expensive,

1. Compare Bresenham line generation with Digital Differential Analyzer line generation. Ans.   Bresenham line generation algorithm is better than Digital Differential Analyze

Lossless Audio Formats: Lossless audio formats as TTA and FLAC give a compression ratio of around 2:1, sometimes extra. During exchange, for their lower compression ratio, such co