PhD Qualifying Examination "Approximate Geometric Searching" Mr. Jian Xia Abstract: Geometric searching problems such as nearest neighbor searching and range searching are fundamental problems in computational geometry. In these problems, we have to preprocess the given point set into a data structure according to the query type so that the query can be answered efficiently. To achieve the simultaneous goals of roughly linear space and logarithmic query time, we consider the approximate versions of these searching problems, in which it is allowed to return the approximate answer within a specified error. Approximate geometric searching is also widely used in many applications, which need fast query time and can tolerate small error within the guarantee. In the survey, we review some data structures and the main techniques in this area. Date: Monday, 27 February 2006 Time: 2:00p.m.-4:00p.m. Venue: Room 3301 lifts 17-18 Committee Members: Dr. Sunil Arya (Supervisor) Dr. Mordecai Golin (Chairperson) Dr. Huamin Qu Dr. Chiew Lan Tai **** ALL are Welcome ****