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
Question 1 Explain the fundamental steps in digital image processing 2 Explain the terms reflection, complement and Translation with example diagrams 3 Explain about Imag

DV Encoder Type 2: Encoder Type 2 generates a VfW compatible AVI file format. Such file has separate streams for audio and video and it can also be processed through DirectShow. T

Types of Animation: -          Procedural Animation    -          Representational Animation -          Stochastic Animation                      -          Behavioura

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

hi I need help with photoshop

What is Graphics It is a term that refers to any computer device or program which makes a computer able of displaying and manipulating pictures. The name also refers to the im


Intensity of Specular Reflection - Modeling and Rendering Intensity of specular reflection based upon material properties of surface and the angle of incidence and the value o

Combination of Positive and Negative Accelerations Actually, it is not that a body once decelerated or accelerated will remain so, although the motion may include both speed-up

what is mean by scan code