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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
(Geometry: non-cross polygon) Write a program that enables the user to add/ remove points by clicking the left/right mouse button, and displays a non- crossed polygon that links all the points, as shown in Figure 22.11a. A polygon is crossed if two or more sides intersect, as shown in Figure 22.11b. Use the following algorithm to construct a polygon from a set of points.
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(a)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (b) Crossed polygon
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FIGURE 22.11 (a) Programming Exercise22.15 displays a non-crossed polygon for a set of points. (b) Two or more sides intersect in a crossed polygon.
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Step 1: Given a set of points S, select the rightmost lowest point p0 in the set S.
Step 2: Sort the points in S angularly along the x-axis with p0 as the center. If there is a tie and two points have the same angle, the one that is closer to p0 is considered greater. The points in S are now sorted as p0, p1, p2, ...,
pn-1.
Step 3: The sorted points form a non-cross polygon.
Hel-----------lo -----------Sir-----------/Ma-----------dam-----------Tha-----------nk -----------You----------- fo-----------r u-----------sin-----------g o-----------ur -----------web-----------sit-----------e a-----------nd -----------and----------- ac-----------qui-----------sit-----------ion----------- of----------- my----------- po-----------ste-----------d s-----------olu-----------tio-----------n.P-----------lea-----------se -----------pin-----------g m-----------e o-----------n c-----------hat----------- I -----------am -----------onl-----------ine----------- or----------- in-----------box----------- me----------- a -----------mes-----------sag-----------e I----------- wi-----------ll