Compare Cohen Sutherland and Cyrus beck line clipping algorithms, with suitable example of each. In Cyrus Beck line clipping algorithm, how will you determine whether the point of intersection between line segment and clipping window is Potentially Entering (PE) or Potentially Leaving (PL). Derive the expression for the parameter (t) with respect to ith edge and the line segment PQ (line to be clipped) in the context of Cyber Beck line clipping algorithm.

Cohen-Sutherland and Cyrus-Beck are two commonly used line clipping algorithms. Let's compare them briefly:

1. Cohen-Sutherland algorithm: The Cohen-Sutherland algorithm is an efficient line-clipping algorithm used to remove portions of a line that are outside a given window. It uses a binary code to identify where a line is in relation to a window, and then eliminates portions of the line that are outside of the window. The code identifies which of the four regions the line endpoints are in with respect to the clip rectangle. This algorithm can handle only rectangular clipping windows.

Example: Consider a line segment PQ that intersects a rectangular clipping window with corners (50, 50) and (150, 150). The endpoints of the line segment are (25, 75) and (200, 175). Using Cohen-Sutherland algorithm, we can clip the line to lie within the clipping window as shown below.

2. Cyrus-Beck algorithm: The Cyrus-Beck algorithm is another line-clipping algorithm that can handle arbitrary convex polygons as clipping regions. The algorithm uses parametric equations to determine the intersection points between the line segment and each edge of the clipping polygon. It then determines whether the intersection _____ ___ _____ _____ _____ ___ ___ _____ ______ _____ ____ ________.
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