Cyrus beck algorithm - line clipping algorithm, Computer Graphics

Cyrus Beck Algorithm - Line Clipping Algorithm

Cyrus Beck Line clipping algorithm is actually, a parametric line-clipping algorithm. The term parametric means that we require finding the value of the parameter t in the parametric representation of the line segment for the point at that the segment intersects the clipping edge. For good understanding, identify the Figure (a) as in above, here P Q is a line segment, that is intersecting at the two edges of the convex window.

Note: The algorithm is appropriate to the "convex polygonal window".

2303_Cyrus Beck Algorithm - Line Clipping Algorithm.png

Figure: (a): Interaction of line PQ and Window

Here, just again call the parametric equation of line segment PQ that we have already studied.

This is simply    P + t (Q - P)      0 ≤ t ≤ 1

Here, t → linear parameter incessantly changes value.

∴P + t (Q - P) ⇒ (x1, y1) + t (x2 - x1, y2 - y1) = (x, y) be any point on PQ.    ------ (1)

For such equation (1) we have subsequent cases:

1)   While t = 0 we obtain the point P.

2)   While t = 1 we get the point Q.

3)   While t varies then 0 ≤ t ≤ 1 then line in between point P and Q is traced.

 For t = ½ we find the mid-point of PQ.

4)   While t < 0 line on Left hand side of P is traced.

5)   While t > 1 line on Right hand side of Q is traced.

Consequently, the variation in parameter t   is actually generating line in point wise method. The range of the parameter values will discover the portion to be clipped through any of convex polygonal region consisting of n-vertices or lattice points to be identified through the user. There is one type of clipping situation is shown in Figure (a) of Interaction of line PQ and Window.

Posted Date: 4/3/2013 3:17:29 AM | Location : United States







Related Discussions:- Cyrus beck algorithm - line clipping algorithm, Assignment Help, Ask Question on Cyrus beck algorithm - line clipping algorithm, Get Answer, Expert's Help, Cyrus beck algorithm - line clipping algorithm Discussions

Write discussion on Cyrus beck algorithm - line clipping algorithm
Your posts are moderated
Related Questions
slider crank


Flash - software to generate computer animations Flash: Learning Macro-Media's Flash can quite complicated, although you can do almost anything along with it. You can devel

Important Points about the Frame Buffers 1) Within a frame buffer, information storage starts from top left corner and goes until the bottom right corner. 2) By using this

Question: (a) Describe in details the meaning of the following terms often available in drawing tools: (i) Welding objects; (ii) Trimming objects; (iii) Intersecting obje

Illustrate the Advantages of using virtual reality - it's safer (As techniques can be tried out in advance without the dangers of real operation for example maintaining a nucle

Referential Links: A third type of link is a referential link. It is associated to the associative link. Quite than representing a relationship among two related ideas, a referent

Orthographic and Oblique Projection - Viewing Transformation Orthographic projection is the easiest form of parallel projection that is commonly utilized for engineering drawi

QUESTION (a) What is the difference between kerning and tracking? (b) What is the advantage of creating colours in the Swatches panel instead of the Colour panel? (c) Wha

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