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SolarDecomp: A Web App for Decomposing Solar Data for Spectrally Selective Building Simulation
- Award ID(s):
- 2001207
- PAR ID:
- 10516287
- Publisher / Repository:
- Springer
- Date Published:
- Journal Name:
- Proceedings of the 52nd American Solar Energy Society National Solar Conference 2023
- ISBN:
- 978-3-031-39147-7
- Format(s):
- Medium: X
- Location:
- Denver, CO
- Sponsoring Org:
- National Science Foundation
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Beyersdorff, Olaf; Kanté, Mamadou Moustapha; Kupferman, Orna; Lokshtanov, Daniel (Ed.)Given a set P of n points and a set S of n segments in the plane, we consider the problem of computing for each segment of S its closest point in P. The previously best algorithm solves the problem in n^{4/3}2^{O(log^*n)} time [Bespamyatnikh, 2003] and a lower bound (under a somewhat restricted model) Ω(n^{4/3}) has also been proved. In this paper, we present an O(n^{4/3}) time algorithm and thus solve the problem optimally (under the restricted model). In addition, we also present data structures for solving the online version of the problem, i.e., given a query segment (or a line as a special case), find its closest point in P. Our new results improve the previous work.more » « less
- Free Publicly Accessible Full Text
-
Accepted Manuscript1.0
- Conference Paper:
- https://doi.org/10.1007/978-3-031-39147-7_1
