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
Advantages of GIF Files GIF is the most extensively supported graphics format upon the Web. GIFs of diagrammatic images appear better than JPEGs. GIF maintains inte

pagemaker is a image editor

Film - Applications for Computer Animation Computer animation has turn into regular and accepted in particular effects. Movies as "Jurassic Park", "Terminator 2: Judgment Day"

State the purpose of scan conversion , along with the side effects

Advantages of Scan line Algorithm:   This time and always we are working along with one-dimensional array as: x[0...x_max] for color not a 2D-array like in Z-buffer algorithm.

Bezier curves: Theses are special polynomial curves expressed using Bernstein polynomials. Spline curves are simple extensions of Bézier curves composed of two or more polynom

Types of Authoring Tools Authoring tools are grouped depends on metaphor used for sequencing or organizing multimedia components and events as: Page or Card Based Tools

What is bitmap and what is pixmap?  The frame buffer used in the black and white system is called as bitmap which take one bit per pixel. For systems with many bits per pixel,

Alias Wavefront - Softwares for Computer Animation Alias is one of the highest computer animation packages out there. Alias was formed by the company which used to be Alias, a

Ray Casting -polygon rendering and ray tracing methods It is a method wherein the surfaces of objects visible to the camera are determined by throwing or say casting rays of