Projections - viewing transformation, Computer Graphics

Assignment Help:

Projections - Viewing Transformation

Specified 3-D object in a space, Projection can be explained as a mapping of 3-D object into 2-D viewing screen. Now, 2-D screen is termed as Plane of projection or view plane that constitutes the display surface. The mapping is resolved by projection rays termed as the projectors. Geometric projections of objects are formed via the intersection of lines termed as projectors with a plane termed as plane of projection or view plane. Projectors are lines from an arbitrary point, termed as the centre of projection i.e. COP, by each point in an object. Following figure 1 demonstrates a mapping of point P(x,y,z) on its image P′(x',y',z') in the view plane.

1676_Projections - Viewing Transformation.png

Figure: 1

If the COP that is center of projection is located at finite point in the 3-space, the effect is a perspective projection. If the COP i.e. center of projection is located at infinity, all the projectors are parallel and the consequence is a parallel projection. Following figure 2(a)-(b) demonstrates the diversity between perspective and parallel projections. In following figure 2(a): ABCD is projected to A'B'C'D' on the plane of projection and O is a COP. In the condition of parallel projection the rays by an object converge at infinity, the rays from the object turn into parallel and will have a direction termed as "direction of projection".

621_Projections - Viewing Transformation 1.png

Figure 2(b): Parallel projection


Related Discussions:- Projections - viewing transformation

Relation between polar coordinate and cartesian system, Relation between po...

Relation between polar coordinate system and Cartesian system A frequently utilized non-cartesian system is Polar coordinate system. The subsequent figure A demonstrates a pol

Interpolation spleen and approximation spine, Q.   Give the difference betw...

Q.   Give the difference between interpolation spleen and approximation spine. Also mention the geometric and parametric continuity conditions in these curves. Ans. A spleen s

Output primitives and geometric transformations, Output Primitives and Geom...

Output Primitives and Geometric Transformations You learnt how some basic geometric objects such as line segments, circles, ellipses and other curves are processed for plotting

Will the shape of the resulting b-spline curve change, If the spacing betwe...

If the spacing between the knot sequence is uniformly doubled, will the shape of the resulting B-spline curve change?  Justify your answer.

What is reflection and clipping, What is reflection and clipping? The r...

What is reflection and clipping? The reflection is actually the transformation that makes a mirror image of an object. For this use some angles and lines of reflection.  Cli

Draw a picture in wpf dotnet programming using visio, is there any plugin a...

is there any plugin available to draw a picture in wpf dotnet programming using microsoft visio?

What is vanishing point and view reference point, What is vanishing point a...

What is vanishing point and view reference point? The perspective projections of any set of parallel lines that are not parallel to the projection plane converge to appoint cal

Optical character recognition software, Optical Character Recognition Softw...

Optical Character Recognition Software (OCR) Frequently, you will have printed matter and the other text to incorporate in your project although no electronic text file. Along

Unity, what I unity of java game?

what I unity of java game?

Performing rotation about an axis, Performing rotation about an Axis Fo...

Performing rotation about an Axis For performing rotation about an axis parallel to one of the coordinate axes (say z-axis), you first need to translate the axis (and hence the

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