Unified Spatial Intersection Algorithms Based on Conformal Geometric Algebra
Joint Authors
Zhang, Feng
Jiang, Xiaomin
Zhang, Xiaoyi
Wang, Yingzhi
Du, Zhenhong
Liu, Renyi
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Conformal Geometric Algebra has been introduced into geographic information science as a mathematical theory because of its advantages in terms of uniform multidimensional representation and computation.
The traditional intersection computation between two geometric objects of different types is not unified.
In this study, we propose algorithms based on Conformal Geometric Algebra to determine the spatial relationships between geographic objects in a unified manner.
The unified representation and intersection computation can be realized for geometric objects of different dimensions.
Different basic judgment rules are provided for different simple geometries.
The algorithms are designed and implemented using MapReduce to improve the efficiency of the algorithms.
From the results of several experiments we provide, the correctness and effectiveness of the algorithms can be verified.
American Psychological Association (APA)
Zhang, Feng& Jiang, Xiaomin& Zhang, Xiaoyi& Wang, Yingzhi& Du, Zhenhong& Liu, Renyi. 2016. Unified Spatial Intersection Algorithms Based on Conformal Geometric Algebra. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112574
Modern Language Association (MLA)
Zhang, Feng…[et al.]. Unified Spatial Intersection Algorithms Based on Conformal Geometric Algebra. Mathematical Problems in Engineering No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1112574
American Medical Association (AMA)
Zhang, Feng& Jiang, Xiaomin& Zhang, Xiaoyi& Wang, Yingzhi& Du, Zhenhong& Liu, Renyi. Unified Spatial Intersection Algorithms Based on Conformal Geometric Algebra. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112574
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112574