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
Sprite animation interactive, may be non rectangular (Computer games) In its simplest form it is a 2-D graphic object which moves across the display. Sprites frequently can hav

QUESTION 1. Create a COMPLETE storyboard for a movie of 2 minutes duration on ONE of the following subject: a. Poverty b. Global Warming c. Smoking d. Drugs e. D

Important points about Types of light resources - illumination model Note: While we see an opaque non-luminous object, we notice reflected light by one surface of the object

what is fixed point scaling?

1. If you perform a x-direction shear transformation and then a y-direction shear transformation, will the result be the same as the one which is obtained when it is simultaneous s

Distinguish between bitBlt and pixBlt?  Raster functions that manipulate rectangular pixel arrays are usually referred to as raster ops. Moving a block of pixels from one locat

Axis of Rotation - Construction of a solid with a translational sweep Figure:  (a)                                                                          Figure  (b)


For good understanding of the application of the rules specified above see the following figure, where the shaded region demonstrates the clipped polygon. Fi

consider a mesh