Takashi Ishimizu, A. Fujiwara, M. Inoue, T. Masuzawa, H. Fujiwara
{"title":"Parallel algorithms for all nearest neighbors of binary images on the BSP model","authors":"Takashi Ishimizu, A. Fujiwara, M. Inoue, T. Masuzawa, H. Fujiwara","doi":"10.1109/ISPAN.1999.778970","DOIUrl":null,"url":null,"abstract":"We present two parallel algorithms for computing the nearest neighbors of an n/spl times/n binary image on the Bulk-Synchronous Parallel (BSP) model. The first algorithm is for weighted distance, and the second algorithm is for L/sub p/ distance. Both algorithms run in O(n/sup 2//p+L) computation time and O(g/sup n///spl radic/p+L) communication time using p (1/spl les/p/spl les/n) processors and in O(n/sup 2//p+(d+L)log p/n/log(d+1)) computation time and in O(gn//spl radic/p+(gd+L)log p/n/log(d+1)) communication time using p (n<p/spl les/n/sup 2/) processors, for any integer d (1/spl les/d/spl les/p/n), where L denotes synchronization periodicity and g denotes a reciprocal of communication bandwidth.","PeriodicalId":157641,"journal":{"name":"Proceedings Fourth International Symposium on Parallel Architectures, Algorithms, and Networks (I-SPAN'99)","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings Fourth International Symposium on Parallel Architectures, Algorithms, and Networks (I-SPAN'99)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISPAN.1999.778970","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We present two parallel algorithms for computing the nearest neighbors of an n/spl times/n binary image on the Bulk-Synchronous Parallel (BSP) model. The first algorithm is for weighted distance, and the second algorithm is for L/sub p/ distance. Both algorithms run in O(n/sup 2//p+L) computation time and O(g/sup n///spl radic/p+L) communication time using p (1/spl les/p/spl les/n) processors and in O(n/sup 2//p+(d+L)log p/n/log(d+1)) computation time and in O(gn//spl radic/p+(gd+L)log p/n/log(d+1)) communication time using p (n