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

Uncompressed and common audio format, Uncompressed / Common Audio Format ...

Uncompressed / Common Audio Format There is one main uncompressed audio format: PCM. It is generally stored like a .wav on Windows. WAV is file format which is flexible and des

Phong shading or normal vector interpolation shading, Phong shading OR Norm...

Phong shading OR Normal Vector Interpolation Shading In Gouraud shading we were doing direct interpolation of intensities although a more exact method for rendering a polygon

Which main components are needed for computer graphics, Can you tell which ...

Can you tell which main components (hardware and software) are needed for computer graphics? Besides the computer, some special devices and software may be needed especially fo

Transform from the world to viewing coordinate system, To transform from th...

To transform from the world coordinate system to viewing coordinate system you need to perform the following operations.  a)  Translate the viewing coordinate origin to the worl

What is scan line algorithm, What is scan line algorithm?  One way to f...

What is scan line algorithm?  One way to fill the polygon is to apply the inside test. I.e. to check whether the pixel is inside the polygon or outside the polygon and then hig

Bezier curve, Q. What is a Bezier Curve? What are blending function? Write ...

Q. What is a Bezier Curve? What are blending function? Write an algorithm for generating Bezier Curves. A curve which has the following properties is called Bezier Curve: 1. A

Gui and graphics, Newspapers exchange news by using news agencies (such as ...

Newspapers exchange news by using news agencies (such as Reuters and ITARTASS). A newspaper registers at a news agency and sends all its news to the agency. The news agency collect

Time delay and busy flag method, 1. Using a time Delay Method The delay...

1. Using a time Delay Method The delay required between issuing each character to the LCD is about 5-10ms (it's simply known as DELAY). When programming an LCD, a long delay is

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