學術產出-Periodical Articles

Article View/Open

Publication Export

Google ScholarTM

政大圖書館

Citation Infomation

  • No doi shows Citation Infomation
題名 Minimum Rectangular Partition Problem for Simple Rectilinear Polygons
作者 Liou,Wen-Ching;Tan J. J. M.;Lee, R. C. T
劉文卿
日期 1990-07
上傳時間 17-Jan-2009 15:59:24 (UTC+8)
摘要 An O(n log log n) algorithm is proposed for minimally rectangular partitioning a simple rectilinear polygon. For any simple rectilinear polygon P, a vertex-edge visible pair is a vertex and an edge that can be connected by a horizontal or vertical line segment that lies entirely inside P. It is shown that, if the vertex-edge visible pairs are found, the maximum matching and the maximum independent set of the bipartite graph derived from the chords of a simple rectilinear polygon can be found in linear time without constructing the bipartite graph. Using this algorithm, the minimum partition problem for convex rectilinear polygons and vertically (horizontally) convex rectilinear polygons can be solved in O(n) time
關聯 IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 9(7), 720-733
資料類型 article
dc.creator (作者) Liou,Wen-Ching;Tan J. J. M.;Lee, R. C. Ten_US
dc.creator (作者) 劉文卿-
dc.date (日期) 1990-07en_US
dc.date.accessioned 17-Jan-2009 15:59:24 (UTC+8)-
dc.date.available 17-Jan-2009 15:59:24 (UTC+8)-
dc.date.issued (上傳時間) 17-Jan-2009 15:59:24 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/26982-
dc.description.abstract (摘要) An O(n log log n) algorithm is proposed for minimally rectangular partitioning a simple rectilinear polygon. For any simple rectilinear polygon P, a vertex-edge visible pair is a vertex and an edge that can be connected by a horizontal or vertical line segment that lies entirely inside P. It is shown that, if the vertex-edge visible pairs are found, the maximum matching and the maximum independent set of the bipartite graph derived from the chords of a simple rectilinear polygon can be found in linear time without constructing the bipartite graph. Using this algorithm, the minimum partition problem for convex rectilinear polygons and vertically (horizontally) convex rectilinear polygons can be solved in O(n) time-
dc.format application/en_US
dc.language enen_US
dc.language en-USen_US
dc.language.iso en_US-
dc.relation (關聯) IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 9(7), 720-733en_US
dc.title (題名) Minimum Rectangular Partition Problem for Simple Rectilinear Polygonsen_US
dc.type (資料類型) articleen