Find out projection matrix for oblique projection, Computer Graphics

Find Out Projection Matrix for Oblique Projection

To find out projection matrix for oblique projection, we want to find out the direction vector d. Because vector PP' and vector d both contain the same direction. Hence, PP'=d 

 So, x'- 0=d1= f.cosθ

       y'- 0=d2= f.sinθ

       z'-1=d3

 Since z'=0 on the xy-plane, d3 = -1, 

Because, Oblique projection is a particular case of parallel projection, hence, we can transform the common transformation of parallel projection for Oblique projection as given:

792_Find Out Projection Matrix for Oblique Projection.png

Here, f=foreshortening factor, that is the projected length of the z-axis unit vector. When β is the angle among the Oblique projectors and the plane of projection so,

1/f=tan (β) , that is f= cot(β)

θ=angle among the projected line along with the positive x-axis.

Posted Date: 4/4/2013 2:27:43 AM | Location : United States







Related Discussions:- Find out projection matrix for oblique projection, Assignment Help, Ask Question on Find out projection matrix for oblique projection, Get Answer, Expert's Help, Find out projection matrix for oblique projection Discussions

Write discussion on Find out projection matrix for oblique projection
Your posts are moderated
Related Questions
An object has to be rotated about an axis passing through the points (1,0 ,1), (1,3,1) .  What will be the resulting rotation matrix?    Solution: The axis is parallel to y axis

Program of PERT in c language

Explain depth buffer method

what languge do computers speak


Polygon or Area Clipping Algorithm - Sutherland-Hodgman Algorithm There are different algorithms as Liang-Barsky, Line clipping, Weiler-Atherton Polygon Clipping,

Write a C code for generating concentric circles.  Put the circle function circleMidpoint()in a for loop  as follows: for( int radius = MinRadius; radius circleMidpoint(i

Implement Cohen Sutherland and Liang Barsky line clipping algorithms in C-language.  Test your code for line segments with end points falling in various regions.

What is the use of control points?  Spline curve can be specified by giving a set of coordinate positions known as control points, which shows the general shape of the curve, c

Question 1 Describe the process of formation of image in human eye Structure of the Human Eye Image formation in the Eye Brightness Adaptation and Discrimination