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

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,

Crt, working of crt

working of crt

Structural links, Structural Links: The information contained inside the h...

Structural Links: The information contained inside the hypermedia application is classically organized in several suitable fashions. This organization is represented by using stru

Area-subdivision method, Area-Subdivision method This method is a ty...

Area-Subdivision method This method is a type of an image-space method although uses object-space operations re-ordering or sorting of surfaces as per to depth. Area sub-div

Steps for clip a line segment-pq, Steps for clip a line segment-PQ ...

Steps for clip a line segment-PQ Initially, find all the points of intersections of the line segment PQ along with the edges of the polygonal window and describe them eith

Discuss the overview of multimedia networks, Question 1 Discuss the overvi...

Question 1 Discuss the overview of multimedia networks Question 2 Discuss the types of synchronization in multimedia system >> Basic synchronization issues Content R

Computer science, what do you means by bresenham s him algorithm

what do you means by bresenham s him algorithm

Card or page based tools, Card or Page Based Tools : In these authoring sy...

Card or Page Based Tools : In these authoring systems, components are organized as pages of a book or a stack of cards. Thousands of pages or cards may be obtainable in the stack

Introduction of viewing transformations, Introduction of Viewing  Transfor...

Introduction of Viewing  Transformations Projection is fundamentally a transformation or mapping of 3D objects upon 2D screen. Projection is mostly categorised in Para

Scan line algorithm and seed fill algorithm, Scan line algorithm and seed f...

Scan line algorithm and seed fill algorithm Two basic approaches are followed in area filling on raster systems.  In the first approach overlap intervals for scan lines that cr

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