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

Medicine-applications for computer animation, Medicine: this is very tough...

Medicine: this is very tough for a doctor to get inside a living human body and to observe what is occurrence. Computer animation once again comes in very helpful. Every particula

Explain the bresenham line generation algorithm, 1. Explain the Bresenham ...

1. Explain the Bresenham line generation algorithm via digitizing the line with end  points as (15, 5) and also (25,13). Ans. Now we are utilizing the Bresenham line generati

Bezier surfaces - modeling and rendering, Bezier Surfaces - Modeling and Re...

Bezier Surfaces - Modeling and Rendering Two sets of Bezier curve can be utilized to design an object surface by identifying by an input mesh of control points. The Bézier su

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

File formats that are used for bitmap data, File Formats that are used for ...

File Formats that are used for Bitmap Data Bitmap data can be saved in a wide variety of file formats are: • BMP: restricted file format that is not appropriate for use in

Raster & Vector display, what is refresh buffer/ identify the content and o...

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

Polygon -rendering methods, Polygon -Rendering Methods Now we will see...

Polygon -Rendering Methods Now we will see the application of an illumination model to execute the rendering of standard graphics objects that are formed along with polygonal

Homogeneous coordinates, What are the uses of homogeneous coordinates? Conv...

What are the uses of homogeneous coordinates? Convert translation rotation and scaling in homogeneous coordinates. In mathematics homogeneous coordinates introduced by August

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