Determine the transformation matrix for cavalier projection, Computer Graphics

Determine the transformation matrix for:

a) Cavalier projection with θ=450, and

b) Cabinet projection with θ=300  

c) Draw the projection of unit cube for all transformations.

Solution: We familiar with cavalier and cabinet projections are a particular case of an oblique projection. For oblique projection, the transformation matrix is:

2035_Determine the transformation matrix for Cavalier Projection 1.png

(ii) To sketch the cabinet projection, we determine the image coordinates of a unit cube i.e.:

2329_Determine the transformation matrix for Cavalier Projection 2.png

The image coordinates are given as:

A' (0, 0, 0), B' = (1,0,0), C' = (1, 1, 0), D' = (0, 1, 0), E' = (√3/4, 5/4, 0) F' = (√3/4, 1/4, 0), G' = (1 + √3/4, 1/4, 0), H' = (1 + √3/4, 5/4, 0)

Figure (g) demonstrates a cabinet projection of a unit cube as given below:

2163_Determine the transformation matrix for Cavalier Projection 3.png

Figure: (g)

Posted Date: 4/4/2013 2:33:25 AM | Location : United States







Related Discussions:- Determine the transformation matrix for cavalier projection, Assignment Help, Ask Question on Determine the transformation matrix for cavalier projection, Get Answer, Expert's Help, Determine the transformation matrix for cavalier projection Discussions

Write discussion on Determine the transformation matrix for cavalier projection
Your posts are moderated
Related Questions
3-D Transformation The capability to represent or display a three-dimensional object is basically to the knowing of the shape of that object. Moreover, the capability to rotat

Animation, Video and Digital Movies : These are sequences of bitmapped graphic scenes or frames, quickly played back. But animations can also be made inside the authoring system t

Digital Video: Digital video is a form of video recording system which works through using a digital, quite than analog, representation of the video signal. It generic means,

Role in Education and Training:- A multimedia presentation is an important way to introduce new concepts or described a new technology. Individuals determine it easy to understand

write digital differntial analyzers(DDA) Algorithm

find out points to the given control points

Cohen Sutherland algorithm Point clipping is very simple.  All you need to check is whether a point is inside the window extremes in x- and y-directions.  For line clipping sev

Explain rubber-band interactive picture technique

1. By using Digital Differential Analyzer algorithm draw line segments from point (1,1) to (9,7). Ans. We see that the usual equation of the line is specified by: y = mx+c

Point clipping - 2-d viewing and clipping Point clipping is the method related to suitable display of points in the scene, though this type of clipping is utilized less freque