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
Please guide if there is any easy steps tutorial available for digital painting in adobe photoshop.

Resolution Graphic demonstrations are utilized in presentations to assist convey a concept or express a mood, two kinds of demonstrations graphics are: Vector, and B

computational algorithm for simulating the behavior of different physical and mathematical systems Monte Carlo methods are an extensively utilized class of computational algor

Adavantage and disadvantages of DDA and Bresenhams line drawing algorithm

Variation of Intensity - Modeling and Rendering According to the phong model the variation of Intensity (I) along with α (since I α cos n α) is: i) for shiny surface (

3-D Modeling and Animation Tools: By 3-D modeling software, objects rendered in perspective show more realistic. One can produce stunning scenes and wander by them, choosing just

Potentially entering and leaving points - P E and P L The intersection point of the line and window might be classified either like potentially leaving or entering. Before g

determine the tranformation matrix for reflection,computer graphics

1. Design a bitmap for the English vowels A, E, I, O, U for two different sizes and then implement the bitmaps to plot these vowels on the display. Keep in mind that baseline of al

Question: (a) Sound often gives the only effective way to convey an idea, elicit an emotion, or dramatise a point. Explain two situations of the use of sound that would be con