浙江大学学报（理学版）2017，Vol.44Issue(1)：76-83,111,9.DOI:10.3785/j.issn.1008-9497.2017.01.012
基于几何代数的时空宗地 meet 计算研究
A study on meet computation of spatio-temporal parcel based on conformal geometric algebra
摘要
Abstract
Geometric algebra has advantages in solving problems of geometric object modeling and multidimensional data analysis .This paper conducts studies on the meaning ,construction and application of its two operators :meet and join .By exploiting their merits of multidimensional consistency and high dimension adaptivity ,we propose a spatio‐temporal parcel meet algorithm .We also give definitions and representations of 3D and 4D spatio‐temporal parcel within the domain of conformal geometric algebra and spatio‐temporal algebra .The algorithm is successfully applied to conduct the topology computation of three dimension spatio‐temporal parcels and achieves satisfactory re‐sults . .Experiment show that our approach provides a novel and effective way for the representation and topology computation of three dimensional spatio‐temporal parcel and hopefully a new resolution for four dimensional spatio‐temporal parcels .关键词
几何代数/时空拓扑关系计算/meet算子/时空宗地求交Key words
geometric algebra/spatio-temporal topology relation computation/meet operator/spatio-temporal parcel meet分类
天文与地球科学引用本文复制引用
王巧燕,蒋晓敏,张丰,杜震洪,刘仁义..基于几何代数的时空宗地 meet 计算研究[J].浙江大学学报（理学版）,2017,44(1):76-83,111,9.基金项目
国家自然科学基金资助项目（41471313，41101356，41101371，41171321）；国家科技基础性工作专项（2012FY112300）；海洋公益性行业科研专项经费资助（2015418003，201305012）；浙江省攻关项目（2014C33G20，2013C33051）． （）
