Title of the vol.: Algorithms — ESA See relations at Aarhus University Citationformats. Pages for all PhD students phd. Common pages for staff members at AU staff.
Research units and facilities Departments and schools Research Centres Research facilities Research support Find a researcher. Organisation Faculties Departments and schools Research centres Management. Contact Contact information and map Employee contact information International Centre. AU for visitors Visitors' service Museums. We study sorted geometric query problems, a class of problems that, to the best of our knowledge and despite their applications, have not received much attention so far.
Two of the most prominent problems in this class are angular sorting queries and sorted K-nearest neighbour queries. The former asks us to preprocess an input point set S in the plane so that, given a query point q, the clockwise ordering of the points in S around q can be computed efficiently. In the latter problem, the output is the list of K points in S closest to q, sorted by increasing distance from q.
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- Lower Bounds for Sorted Geometric Queries in the I/O Model - Research - Aarhus University
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- We also prove that answering queries using I/Os requires space, where N is the input size, B is the block size, and M is the size of the main.
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