{"title":"Practical hypercube algorithms for computational geometry","authors":"P. MacKenzie, Q. Stout","doi":"10.1109/FMPC.1990.89442","DOIUrl":null,"url":null,"abstract":"The use of the cross-stitching technique to solve problems in computational geometry on the hypercube is discussed. Given n inputs distributed one per processor on a hypercube with n processors. The cross-stitching paradigm runs in Theta (log/sup 2/n) time with very low constants. This form of 2-D divide-and-conquer is illustrated, some of its applications are considered, and its practicality is shown by the computation of exact communication constants for the authors' algorithms.<<ETX>>","PeriodicalId":193332,"journal":{"name":"[1990 Proceedings] The Third Symposium on the Frontiers of Massively Parallel Computation","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1990 Proceedings] The Third Symposium on the Frontiers of Massively Parallel Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FMPC.1990.89442","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
The use of the cross-stitching technique to solve problems in computational geometry on the hypercube is discussed. Given n inputs distributed one per processor on a hypercube with n processors. The cross-stitching paradigm runs in Theta (log/sup 2/n) time with very low constants. This form of 2-D divide-and-conquer is illustrated, some of its applications are considered, and its practicality is shown by the computation of exact communication constants for the authors' algorithms.<>
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