Geometrical examine types of line clipping, Computer Graphics

Geometrical examine Types of Line Clipping

Geometrical examine of the above kinds of clipping (it assists to get point of intersection of line PQ along with any edge).

Assume (x1, y1) and (x2, y2) be the coordinates of P and Q respectively.

1)   Top case/above

If y1 > ywmax then 1st bit of bit code = 1 (suggesting above) else bit code = 0

2)   Bottom case/below case

If y1 < ywmin   then 2nd   bit = 1 (that is below) else bit = 0

3)   Left case: if x1 < xwmin then 3rd bit = 1 (that is left) else 0

4)   Right case: if x1 > xwmax then 4th bit = 1 (that is right) else 0

Likewise, the bit codes of the point Q will also be allocated.

1)   Top/above case:

Equation of top edge is: y = ywmax. The equation of line PQ is y - y1 = m (x - x1);

Here, m = (y2 - y1)/ (x2 - x1). The coordinates of the point of intersection will be (x, ywmax) ∴equation of line among point P and intersection point is (ywmax - y1) = m ( x - x1) rearrange we find  x = x  +  1

 (ywmax  - y1 ) = m (x - x1)

 Now arrange then we find

x = x1 + (1/m) (ywmax  - y1 ) ------------------ (A)

Thus, we acquire coordinates (x, ywmax) that is coordinates of the intersection.

2)   Bottom/below edge begin along with y = ywmin and proceed as for above mentioned case.

∴equation of line among intersection point (x', ywmin) and point Q that is (x2, y2) Is (ywmin - y2) = m (x′ - x2) rearranging that we determine,

x′ = x2   + (1/m)( ywmin - y2)------------------------(B)

The coordinates of the point of intersection of PQ along with the bottom edge will be

x2   + (1/m)( ywmin - y2),ywmin)

3)   Left edge: the equation of left edge is x = xwmin.

Here, the point of intersection is (xwmin, y).

By using 2 point from the equation of the line we contain:

(y - y1) = m (xwmin - x1)

So now again arranging that, we find, y = y1 + m (xwmin - x1).                   -------------------- (C)

Consequently, we find value of xwmin and y both that are the coordinates of intersection point is identified via ( xwmin , y1 + m( xwmin  - x1 )) .

4)   Right edge: proceed as in left edge case although start along with x-xwmax.

Here point of intersection is (xwmax, y′).

By using 2 point form, the equation of the line is (y′ - y2) = m (xwmax - x2)

y' = y2 + (m(xwmax - x2))-------------------(D)

The coordinates of the intersection of PQ along with the right edge will be

( xwmax , y2  + m( xwmax  - x2 )).

Posted Date: 4/3/2013 3:03:38 AM | Location : United States







Related Discussions:- Geometrical examine types of line clipping, Assignment Help, Ask Question on Geometrical examine types of line clipping, Get Answer, Expert's Help, Geometrical examine types of line clipping Discussions

Write discussion on Geometrical examine types of line clipping
Your posts are moderated
Related Questions
Construction of an Isometric Projection - Transformation In this projection, the direction of projection i.e. d = (d 1 ,d 2 ,d 3 ) makes an identical angles with all the 3-pr

1. Implement proper exception handling mechanism for this application. 2. Display all data a. Search specific data (depending of the user selection, your application should e

Parameterized Systems - Computer Animation Parameterized Systems is the systems which permit objects motion features to be given as part of the object descriptions. The adjus

What is Transformation?  Transformation is the process of introducing changes in the shape size and orientation of the object using scaling rotation reflection shearing & trans


Definition of Computer Animation A time dependence phenomenon for imparting visual modifies in any scene as per to any time sequence, the visual modifies could be incorporated

Features for good 3-Dimentional modeling software are as: Multiple windows which permit you to view your model in each dimension. Capability to drag and drop primitive

Write a program that allows interactive manipulation of the position and orientation of a camera. Draw a teapot at the global origin 0,0,0. You can find a shaded teapot model and


Polygon Representation Methods - Modeling and Rendering Any scene to be created by computer graphics may include a variety of objects, a few of them natural and manmade. Hence