Matrix for orthographic projection, Computer Graphics

Assignment Help:

Matrix for Orthographic Projection

Orthographic projections are projections into one of the coordinate planes x=0, y=0or z=0. The matrix for orthographic projection on the z=0 planes that is xy-plane as:  

1965_Matrix for Orthographic Projection 2.png

Remember here that the third-column i.e. z-column in this matrix is all zeros. For orthographic projection on the z=0 plane, such the z-coordinates of a position vector is set to zero. Correspondingly, we can also obtain the matrices for orthographic projection on the x=0 and y=0 planes as given below:

2065_Matrix for Orthographic Projection.png

For illustration, seems the object specified in Figure. The orthographic projections of this object on the x=0, y=0 as well as z=0 planes from center of projection at infinity on the +x-, +y- and +z-axes.


Related Discussions:- Matrix for orthographic projection

Polygon representation methods - space partitioning, Polygon representation...

Polygon representation methods - Space Partitioning Representations Space partitioning representations: this type of representation is used for explain the interior pr

Disadvantages of the z-buffer method, Disadvantages : 1)   Doubles memor...

Disadvantages : 1)   Doubles memory needs, one for at least z-buffer and one for refreshes- buffer. 2)   Dependency of device and memory intensive. 3) Wasted calculation u

Application areas of computer graphics, Explain application areas of comput...

Explain application areas of computer graphics in different areas.    Early computer graphics has only certain special capabilities such as straight lines circles and ellipses

Common principles of ray tracing, Common Principles of Ray Tracing Bas...

Common Principles of Ray Tracing Based upon the nature or attributes of the surface given by the user, the subsequent effects are implemented, as per to rules of optics:  a

X-shear regarding the origin - 2-d and 3-d transformations, X-shear Regardi...

X-shear Regarding the Origin - 2-d and 3-d transformations Suppose an object point P(x,y) be moved to P'(x',y') in the x-direction, via the given scale parameter 'a',that is,

Pitfalls in computer simulation - computer aided design, Pitfalls in comput...

Pitfalls in computer simulation Though generally avoided in computer simulations, in strict logic the rules governing floating point arithmetic even apply. For illustration, t

Poser - software to generate computer animations, Poser - software to gener...

Poser - software to generate computer animations Poser: Poser through Curious Labs Creates 3-dimentaional complex models which you can view from any angle, distance o

Objectives-visible-surface detection, After going through this section, you...

After going through this section, you should be capable to: know the meaning of Visible-surface detection; distinguish among image-space and object-space approach for vi

Anti aliasing - modeling and rendering, Anti Aliasing - Modeling and Render...

Anti Aliasing - Modeling and Rendering It is a method for enhancing the realism of an image through eliminating the jagged edges from it. Such jagged edges or "jaggies", appe

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd