Login

Create Account
Customer Service Chat
+14156709189
info@expertsmind.com
Submit Homework/Assignment
Get quote & make Payment
Get Solution
Introduction of viewing transformations, Computer Graphics
Introduction of Viewing Transformations
Projection is fundamentally a transformation or mapping of 3D objects upon 2D screen.
Projection is mostly categorised in Parallel and Perspective projections depending upon where the rays from the object converge at the Centre of projection or not.
We have Perspective projection, if the distance of Centre of projection from the projection plane is finite. This is termed as perspective because faraway objects look nearer and minor objects look bigger.
Rays from the objects become parallel, when the distance of Centre of projection from the projection plane is infinite. This type of projection is termed as parallel projection.
Parallel projection can be categorised as per to the angle which the direction of projection makes along with the projection plane.
Whether the direction of projection of rays is perpendicular to the projection plane, we have an Orthographic projection, or else an Oblique projection.
Orthographic which is perpendicular projection demonstrates only one face of a given object, which is only two dimensions: length as well as width, whereas Oblique projection demonstrates all the three dimensions, such as length, width and also height. Hence, an Oblique projection is one way to demonstrate all three dimensions of an object in a single view.
The line perpendicular to the projection plane is foreshortened where projected line length is shorter than actual line length by the way of projection of rays, in Oblique projection. The direction of projection of rays finds out the amount of foreshortening.
The verification in length of the projected line (because of the direction of projection of rays) which is measured in terms of foreshortening factor, f, that is expressed as the ratio of the projected length to its actual length.
In Oblique projection, we have cavalier projection, if foreshortening factor f=1 and cabinet projection, if f=1/2.
The plane of projection may be perpendicular axes or maybe not. If the plane of projection is perpendicular to the principal axes then we have multiview projection or else axonometric projection.
Depending upon the foreshortening factors, we have three diverse types of axonometric projections: as all foreshortening factors are equalled, Dimetric where any two foreshortening factors equal and Trimetric when all foreshortening factors unequal.
In perspective projection, the parallel lines show to meet at a point which is a point at infinity. This point termed as vanishing point. A practical illustration is a long straight railroad track, when two parallel railroad tracks show to meet at infinity.
A perspective projection can have mostly threeprincipal vanishing points when points at infinity with respect to x, y, and zaxes, respectively and at least one principle vanishing point.
A particular point perspective transformation along with the Centre of projection along any of the coordinate axes yields a single or particular vanishing point, where two parallel lines show to meet at infinity.
Two point perspective transformations are acquired by the concatenation of any two onepoint perspective transformations. Consequently we can have twopoint perspective transformations as: P
_{perxy}
, P
_{peryz}
, P
_{perxz}
.
Three point perspective transformations can be acquired by the composition of all the three onepoint perspective transformations.
Posted Date: 4/4/2013 3:35:41 AM  Location : United States
Ask an Expert
Related Discussions:
Introduction of viewing transformations, Assignment Help, Ask Question on Introduction of viewing transformations, Get Answer, Expert's Help, Introduction of viewing transformations Discussions
Write discussion on Introduction of viewing transformations
Your posts are moderated
Write your message here..
Related Questions
Polygon tables  curves and surfaces, Polygon Tables  curves and surfaces ...
Polygon Tables  curves and surfaces All polygons are analogous to a graph G (V, E). Remember that the analogy in which a polygon surface can be specified along with as a set
70, how you doing the graphic?
how you doing the graphic?
Images  systems research group, The image you have been given for contour ...
The image you have been given for contour extraction is shown in Figure 1. The method for constructing the search space is shown in Figure 2. It is generated from two initial discr
Why Video Game Characters Look Better Today, what is the control for Why Vi...
what is the control for Why Video Game Characters Look Better Today
Bit map representation and charecter generation, assignment
assignment
Briefly explain how you could create the gun barrel effect, Question 1: ...
Question 1: (a) Describe what you understand by Rotoscoping in Graphic effects. Give details how Rotoscoping could be achieved in After Effects CS3. (b) Using one algorithm
What is fixed point scaling, What is fixed point scaling? The location...
What is fixed point scaling? The location of a scaled object can be controlled by a position known as the fixed point that is to remain unchanged after the scaling transformat
Languge, what languge do computers speak
what languge do computers speak
#BLA, #BLA for slope greater and equal to 1
#BLA for slope greater and equal to 1
State the advantages and disadvantages of CAD, State the Advantages AND Dis...
State the Advantages AND Disadvantages of CAD Advantages of CAD Disadvantages of CAD  Easier to modif
Assignment Help
Accounting Assignment Help
Economics Assignment Help
Finance Assignment Help
Statistics Assignment Help
Physics Assignment Help
Chemistry Assignment Help
Math Assignment Help
Biology Assignment Help
English Assignment Help
Management Assignment Help
Engineering Assignment Help
Programming Assignment Help
Computer Science Assignment Help
ExpertsMind Services
Online Tutoring
Projects Assistance
Exam Preparation
Coursework Help
Programming Help
IT Services
Why Us ?
~Experienced Tutors
~24x7 hrs Support
~Plagiarism Free
~Quality of Work
~Time on Delivery
~Privacy of Work