Projections - viewing transformation, Computer Graphics

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

Posted Date: 4/3/2013 6:19:33 AM | Location : United States







Related Discussions:- Projections - viewing transformation, Assignment Help, Ask Question on Projections - viewing transformation, Get Answer, Expert's Help, Projections - viewing transformation Discussions

Write discussion on Projections - viewing transformation
Your posts are moderated
Related Questions
Cathode Ray Tube - Graphics Hardware Cathode Ray Tube: this is a refreshing display device. The idea of a refreshing display is depicted pictorially is given as: In fact

Softwares and Hardwares for Computer Animation The categories of both software as well as hardware needed to work on animation are now to be discussed. Computer animation can b

Question: a) Datagram packet delivery and Virtual circuit packet delivery are two approaches to the delivery of packets by the network layer. Explain. b) What is the meaning

Define polygon?  A polygon is any closed continues sequence of line segments i.e., a polyline whose last node point is similar as that of its first node point. The line segment

Ask question #Minimum how can we use stroke method method for character generation? 100 words accepted#

Subdivision of polygon Test to find out the visibility of a single surface are made through comparing surfaces that as polygons P along regarding a specified screen area A.

Explain working of CRT

Image Capture Formats: Video cameras appear in two various image capture formats: progressive and interlaced scan. Interlaced Scan It is a technique of enhancing the

3-D Transformation The capability to represent or display a three-dimensional object is basically to the knowing of the shape of that object. Moreover, the capability to rotat

De Casteljau Algorithm For computation of Bézier curves an iterative algorithm known as de Casteljau algorithm is used.  The algorithm uses repeated linear interpolation.