Hmwk2 - where d is a constant Show that the convex hull of...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
COT5520 Computational Geometry Homework Assignment # 2 Due: September 15, 2003 1. Change the code of Algorithm FindIntersections (and of the procedures that it calls) such that the working storage is O instead of O . ( ) n () k n + 2. Let S be a set of n triangles in the plane. The boundaries of the triangles are disjoint, but it is possible that a triangle lies completely inside another triangle. Let P be a set of n points in the plane. Give an O algorithm that reports each point in P lying outside all triangles. ( n n log ) 3. Suppose that a doubly connected edge list of a connected subdivision is given. Give pseudocode for an algorithm that lists all faces with vertices that appear on the outer boundary. 4. Let S be a set of N points in the plane with integer coordinates between 1 and N d
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: , where d is a constant. Show that the convex hull of S can be obtained in linear time. 5. Design an efficient algorithm to solve the following problem: Given n boy robots and n girl robots, whose positions are specified by points in the plane, such that the boy robots are separated from the girl robots by a vertical line. Find a matching of the boys with the girls by straight line-segments so that no two segments intersect. Intuitively, this corresponds to the paths the boys will have to make to pick a girl to go square dancing with. If more than one pair of boys and girls become collinear, their paths may have to overlap, but what will be a gentleman’s etiquette to avoid collision? What is the complexity of your algorithm? (Hint: Use convex Hulls)....
View Full Document

This note was uploaded on 10/04/2011 for the course COT 5520 taught by Professor Mukherjee during the Spring '11 term at University of Central Florida.

Ask a homework question - tutors are online