Cyrus beck algorithm - line clipping algorithm, Computer Graphics

Assignment Help:

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.


Related Discussions:- Cyrus beck algorithm - line clipping algorithm

Illumination model - polygon rendering & ray tracing methods, Illumination ...

Illumination Model - Polygon rendering and ray tracing methods Theoretically illumination is exposure of a thing to the light that contributes to light reflected by an object

Explain the role of the prefight personnel, QUESTION a) Once a print jo...

QUESTION a) Once a print job is accepted by the print service provider, it will be assigned a job number and this information will become part of a printed job ticket, which wi

Area subdivision method - visible surface detection, Area subdivision Metho...

Area subdivision Method - Visible Surface Detection What are the circumstances to be fulfilled, in Area-subdivision method, thus a surface not to be divided in addition? S

Curved surfaces, Build a program that allows: 1. using mouse or keyboard...

Build a program that allows: 1. using mouse or keyboard to move around on a set of 16 control points;  2. modify the value (drag along x, y, or z) of a point;  3. display

Briefly explain the 12 stages in image processing, QUESTION (a) In Autom...

QUESTION (a) In Automatic Contrast Adjustment briefly explain how to stretch an image to its full intensity (b) Write down a mathematical function of a Modified Automatic Con

Seed fill algorithm - output primitives, Seed fill algorithm A seed fil...

Seed fill algorithm A seed fill algorithm starts with a known initial interior point of the polygon and spreads out to determine other interior points to fill the given closed

Explain the fundamentals of a compression, Question 1 Explain the funda...

Question 1 Explain the fundamental steps in digital image processing 2 Explain the terms reflection, complement and Translation with example diagrams 3 Explain about Imag

Key frame systems, Ask questionkms eey frame syst #Minimum 100 words accept...

Ask questionkms eey frame syst #Minimum 100 words accepted#

Find the normalization transformation, Illustration: Find the normalizatio...

Illustration: Find the normalization transformation N that uses the rectangle W (1, 1), X (5, 3), Y (4, 5) and Z (0, 3) as a window and also the normalized device screen like the

Flat panel displays - hardware primitives, Flat Panel Displays - Hardware P...

Flat Panel Displays - Hardware Primitives 1.  Flat panel displays have now become more common. These include liquid crystal displays (LCD) and thin film electroluminescent disp

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