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
Important Points about the Frame Buffers 1) Within a frame buffer, information storage starts from top left corner and goes until the bottom right corner. 2) By using this

Graphic Interchange Format (GIF): The Graphic Interchange Format is an efficient implies to transmit images across data networks. In the early 1990 year the original designers of

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

Geometric Continuity There is another notion of continuity called geometric continuity. Although the idea existed in differential geometry, the concept was introduced for geome

what is refresh buffer/ identify the content and organisation of the refresh buffer for the case of raster display and vector display.

Write a program that allows interactive manipulation of the position and orientation of a camera. Draw a teapot at the global origin 0,0,0. You can find a shaded teapot model and

Scan Line Algorithm A scan line algorithm determines the overlap intervals of the polygon with each scan line to obtain interior points of the polygon for assigning those point

Medicine: this is very tough for a doctor to get inside a living human body and to observe what is occurrence. Computer animation once again comes in very helpful. Every particula

Transformation for 3-D Rotation Rotation in 3-dimensions is considerably more complicated then rotation in 2-dimensions. In 2-Dimentional, a rotation is prescribed via an angl

Single Point Perspective Transformation - Viewing Transformations In order to derive the particular point perspective transformations beside the x and y-axes, we construct fi