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The 3rd ISPRS Workshop on Dynamic and Multi-Dimensional GIS & the 10th Annual Conference of CPGIS on Geoinformatics

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fullscreen: The 3rd ISPRS Workshop on Dynamic and Multi-Dimensional GIS & the 10th Annual Conference of CPGIS on Geoinformatics

Monograph

Persistent identifier:: 856566209

Author:: Chen, Jun

Title:: The 3rd ISPRS Workshop on Dynamic and Multi-Dimensional GIS & the 10th Annual Conference of CPGIS on Geoinformatics

Sub title:: May 23 - 25, 2001, Bangkok, Thailand

Scope:: VI, 434 Seiten

Year of publication:: 2001

Place of publication:: Pathumthani, Thailand

Publisher of the original:: AIT

Identifier (digital):: 856566209

Illustration:: Illustrationen, Diagramme, Karten

Language:: English

Usage licence:: Attribution 4.0 International (CC BY 4.0)

Publisher of the digital copy:: Technische Informationsbibliothek Hannover

Place of publication of the digital copy:: Hannover

Year of publication of the original:: 2016

Document type:: Monograph

Collection:: Earth sciences

Chapter

Title:: AN ALGEBRA FOR SPATIAL RELATIONS. Zhilin LI, Renliang ZHAO and Jun CHEN

Document type:: Monograph

Structure type:: Chapter

Contents

Table of contents

The 3rd ISPRS Workshop on Dynamic and Multi-Dimensional GIS & the 10th Annual Conference of CPGIS on Geoinformatics
Cover
ColorChart
Title page
PREFACE
Conference Venue
CONTENTS
DISTRIBUTION ANALYSIS AND AUTOMATIC GENERALIZATION OF URBAN BUILDING CLUSTER. Tinghua AI
GENERALIZATION FOR 3D GIS. Fengwen BAI, Xiaoyong CHEN
USING IKONOS HIGH RESOLUTION REMOTE SENSING DATA FOR LAND USE CLASSIFICATION IN CHINA. Georg BARETH
LARGE SCALE GIS FOR A SUBURBAN TOWNSHIP OF BEIJING TO MODEL STRATEGIES FOR SUSTAINABLE AGRICULTURE ON FIELD LEVEL. Georg BARETH, Si JIN, Tailai YAN and Reiner DOLUSCHITZ
THREE LEVEL HIERARCHICAL QUALITATIVE DESCRIPTIONS FOR DIRECTIONS OF SPATIAL OBJECTS. Han CAO, Jun CHEN, Daosheng Du
THE APPLICATION OF CENTROGRAPHIC ANALYSIS TO THE STUDY OF THE INTRA-URBAN MIGRATORY PHENOMENON IN THE GREATER MONCTON AREA IN CANADA, 1981-1996. Huhua CAO
PER-FIELD CLASSIFICATION INTEGRATING VERY FINE SPATIAL RESOLUTION SATELLITE IMAGERY WITH TOPOGRAPHIC DATA. Mauro CAPRIOLI, Eufemia TARANTINO
INTEGRATION OF GIS WITH PESTICIDES LOSSES RUNOFF MODEL. Bing CHEN, Gordon HUANG, Jonathan LI, Yueren LI, and Yifan LI
RESEARCH ON 3D CITY VISUALIZATION BASED ON INTERNET. Jing CHEN, Qingquan Ll, Jianya GONG, Bisheng YANG
DYNAMIC AND MULTI-DIMENSIONAL GIS: AN OVERVIEW. Jun CHEN, Zhilin LI, Jie JIANG
A GIS-SUPPORTED ENVIRONMENTAL RISK ASSESSMENT FOR PETROLEUM WASTE CONTAMINATED SITE. Su Chen, Gordon Huang, and Jonathan Li
MEASURING UNCERTAINTY IN SPATIAL FEATURES IN A THREE-DIMENSIONAL GEOGRAPHICAL INFORMATION SYSTEM. Chui Kwan CHEUNG and Wenzhong SHI
SPATIAL DEVELOPMENT RESEARCH OF LARGE CITY BASED ON GIS SPATIAL ANALYSIS. Anrong DANG, Qizhi MAO, Xiaodong WANG
DIGITAL CLOSE RANGE PHOTOGRAMMETRY: A POTENTIAL TOOL FOR LAND FEATURE PRESENTATION. Gang DENG
3D SPATIAL OBJECTS MODELING AND VISUALIZATION BASED ON LASER LANGE DATA. Jie DU, Apisit EIUMNOH, Xiaoyang CHEN, Michiro KUSANAGI
3D REPRESENTATION AND SIMULATION OF MINING SUBSIDING LAND BASED ON GIS, DPS AND GPS. Peijun DU, Dazhi GUO and Qihao WENG
USE DSM/DTM TO SUPPORT CHANGE DETECTION OF BUILDING IN URBAN AREA. Hong FAN, Jianqing ZHANG, Zuxun ZHANG, Zhifang LIU
ENHANCE MANAGEMENT LEVEL OF URBAN WATER SUPPLY DEPARTMENT WITH 3S TECHNOLOGY. Yewen FAN and Wei WANG
AUTOMATIC REGISTRATION OF SATELLITE IMAGE TO MAP. Kensaku FUJII
DIFFERENTIAL SATELLITE POSITIONING OVER INTERNET. Ying. GAO and Zhi. LIU
FEDERATED SPATIAL DATABASES AND INTEROPERABILITY. Jianya GONG, Yandong WANG
OPTIMIZING PATH FINDING IN VEHICLE NAVIGATION CONSIDERING TURN PENALTIES AND PROHIBITIONS. Gang HAN, Jie JANG, Jun CHEN
DEVELOPMENT OF DYNAMIC MANAGEMENT SPATIAL-TEMPORAL INFORMATION SYSTEM AND APPLICATION FOR CENSUS DATA- TOWARD ASIAN SPATIAL TEMPORAL GIS (ST-GIS) (2)-. Michinori HATAYAMA, Shigeru KAKUMOTO, Hiroyuki KAMEDA
MODELING LAND USE EFFECT ON URBAN STORM RUNOFF AT THE WATERSHED SCALE. Chansheng HE
EXTRACTION OF THE SEA OIL INFORMATION FROM TM AND AVHRR IMAGE BY THE METHOD OF FEATURE DATA LINE -WINDOW. Fengrong HUANG
THE APPLICATION OF NEURAL NETWORK AND FUZZY SET TO CLASSIFICATION OF REMOTELY SENSED IMAGERY. Dongmin HUO, Jingxiong ZHANG, Jiabing SUN
A SELF-ADAPTIVE ALGORITHM OF AUTOMATIC INTERIOR ORIENTATION FOR METRIC IMAGES. Wanshou JIANG, Guo ZHANG, Deren LI
DETECTION OF SHEER CHANGES IN AERIAL PHOTO IMAGES USING AN ADAPTIVE NONLINEAR MAPPING. Yukio KOSUGI, Munenori FUKUNISHI, Mitsuteru SAKAMATO, Wei LU and Takeshi DOIHARA
EFFECTIVENESS OF MENU-DRIVEN VS. SCRIPT-BASED GIS TUTORIAL SYSTEMS. Bin LI
BUILDING OF B/S-BASED OBJECT ORIENTED ELECTRONIC CHART DATABASE. Guangru LI, Shaopeng SUN, Depeng ZHAO
MINE GIS 3D DATA MODEL AND SOME THINKING. Q. Y. LI, D. Y. CAO, X. D. ZHU
THE RESEARCH OF THE INFINITELY VARIABLE MAP SCALE IN GIS. Yifan LI, Shaopeng SUN
RESEARCH ON INFORMATION AUTOMATIC GENERALIZATION WITH VARYING MAP SCALE. Yuanhui LI, Dan LIU, Yifan LI
QUANTITATIVE MEASURES FOR SPATIAL INFORMATION OF MAPS. Zhilin LI and Peizhi HUANG
AN ALGEBRA FOR SPATIAL RELATIONS. Zhilin LI, Renliang ZHAO and Jun CHEN
A STUDY ON THE EXTRACTION OF DEM FROM SINGLE SAR IMAGE. Mingsheng LIAO, Jie YANG, Hui LIN
A GIS-BASED ENVIRONMENTAL DECISION SUPPORT SYSTEM FOR THE ERHAI LAKE WATERSHED MANAGEMENT. Lei LIU, Gordon HUANG, and Jonathan LI
APPLICATION OF 4D AND ASSOCIATED ENABLING TECHNOLOGIES FOR URBAN DECISION SUPPORT SYSTEM. Rong LIU, Penggen CHENG, Zhuguo XING, Kaiyun LU
3D RECONSTRUCTION OF A BUILDING FROM SINGLE IMAGE. Yawen LIU, Zuxun ZHANG, Jianqing ZHANG
AN INTELLIGENT GIS SEARCH ENGINE TO RETRIEVE INFORMATION FROM INTERNET. Zhe LIU, Yong GAO
AN ENHANCED TIN GENERATION METHOD FOR USING CONTOUR LINE AS CONSTRAINS. Wei LU, Takeshi DOIHARA
NON-LINEAR RECTIFICATION OF MAP WITH COLLINEAR CONSTRAIN. Wei LU, Takeshi DOIHARA
A STUDY ON VEHICLE POINT CORRECTING ALGORITHM IN GPS/AVL SYSTEMS. HongShan NIU, Jie XU, Hong LI
A SPATIO-TEMPORAL GEOGRAPHIC INFORMATION SYSTEM BASED ON IMPLICIT TOPOLOGY DESCRIPTION: STIMS. Yutaka OHSAWA, Atushi NAGASHIMA
APPLICATION OF VRML IN A DYNAMIC AND MULTI-DIMENSIONAL DIGITAL HARBOR. Mingyang PAN, Yifan LI, Depeng ZHAO
A COMMON DATA MODEL AND REQUESTING LANGUAGE FOR SPATIAL INFORMATION MARKETPLACES. Matthew Y. C. PANG, Wenzhong SHI, Geoffrey SHEA
TOPOLOGIC DATA STRUCTURE FOR A 3D GIS. Mattias Pfund
AUTOMATIC RECOGNITION AND LOCATION OF ROAD SIGNS FROM TERRESTERIAL COLOR IMAGERY. Sompoch PUNTAVUNGKOUR, Xiaoyang CHEN, Michiro KUSANAGI
A NEW STEREO MATCHING APPROACH USING EDGES AND NONLINEAR MATCHING PROCESS OBJECTED FOR URBAN AREA. Mitsuteru SAKAMOTO, Wei LU, Pingtao WANG
MINING SEQUENTIAL PATTERN FROM GEOSPATIAL DATA. Yin SHAN
THE ADVANCED GIS AND GPS TECHNOLOGIES TO BE USED IN THE LANCHANG BASIN AREA OF YUNNAN PROVINCE OF CHINA. Kun SHI
PRIMARY SPATIAL CHANGES. Hong SHU, Christopher GOLD and Jun CHEN
INCORPORATING 3D GEO-OBJECTS INTO AN EXISTING 2D GEO-DATABASE: AN EFFICIENT USE OF GEO-DATA. Jantien STOTER, Peter VAN OOSTEROM
A FRAMEWORK FOR AUTOMATED CHANGE DETECTION SYSTEM. Haigang SUI, Deren LI, Jianya GONG
BUILDING DISTRIBUTED GEOGRAPHIC INFORMATION SYSTEM FOR OCEAN TRANSPORTATION (GIS-OT). Shaopeng SUN, Guangru LI, Depeng ZHAO
COMPUTATION OF ACCURACY ASSESSMENT IN THE INTEGRATION OF PHOTOGRAPH AND LASER DATA. Taravudh TIPDECHO & Xiaoyong CHEN
PROXIMITY AND ACCESSIBILITY TO SUITABLE JOBS AMONG WORKERS OF VARIOUS WAGE GROUPS. Fahui WANG
WEB MAPPING WITH GEOGRAPHY MARKUP LANGUAGE. Xingling WANG, Chongjun YANG, Donglin LIU
INTEGRATION OF COMPACTNESS MEASUREMENT METHODS USING FUZZY MULTICRITERIA DECISION MAKING : A NEW APPROACH FOR COMPACTNESS MEASUREMENT IN SHAPE BASED REDISTRICTING ALGORITHM. Yinchai WANG
GIS-BASED SYSTEM FOR RAINFALL ESTIMATION USING RAINGAUGE DATA: A PROTOTYPE. Yinchai WANG, Teck Kiong SIEW
A NEW APPROACH FOR DISTRIBUTED GIS. Yuxiang WANG, Chongjun YANG, Donglin LIU
GEOD2D: A FLEXIBLE SOLUTION FOR GIS DATA EXCHANGE BASED ON COM. Huayi WU, Xinyan ZHU
GEOLOGICAL DATA ORGANIZATION FOR FEM BASED ON 3D GEOSCIENCE MODELING. Lixin WU, Enke HOU, Chunan TANG
DIGITAL MODEL AND GPS BASED PATH REPRESENTATION AND OPTIMIZATION. Linyuan XIA
AN COMPOSITE TEMPORAL DATA MODEL IN CADASTRAL INFORMATION SYSTEM. Changsheng XUE, Qingquan LI, and Bisheng YANG, Yuanchun HUA, Shiwu XU
A SPATIAL-TEMPORAL DATA MODEL FOR MOVING AREA PHENOMENA. Shanzhen Yl, Yong ZHONG, Lizhu ZHOU, Jun CHEN, Qilun LIU
CONSTRUCTION OF 3D MODELS FOR ELEVATED OBJECTS IN URBAN AREAS USING AIRBORNE SAR POLARIMETRIC DATA. Yalkun YUSUF, Masashl MATSUOKA, Fumio YAMAZAKI, Seiho URATSUKA, Tatsuharu KOBAYASHI, Makoto SATAKE
COASTAL GIS: FUNCTIONALITY VERSUS APPLICATIONS. Thomas Q ZENG, Qiming ZHOU, Peter COWELL and Haijun HUANG
CIS AIDED CHARACTERIZATION OF SOIL AND GROUNDWATER ARSENIC CONTAMINATION IN SOUTHERN THAILAND. Jianjun ZHANG, Xiaoyong CHEN, Preeda PARKPIAN, Monthip Sriratana TABUCANON, Janewit WONGSANOON, Kensuke FUKUSHI, Skorn MONGKOLSUK and N.C.THANH
MULTIRESOLUTION TERRIAN MODEL. Jin ZHANG
A TROUS WAVELET DECOMPOSITION APPLIED TO DETECTING IMAGE EDGE. Xiaodong ZHANG, Deren LI
RESEARCH OF THE LAND MANAGEMENT INFORMATION SYSTEM BASED ON WEB GIS AND SPATIAL DATABASES FOR PROVINCIAL AND LOCAL GOVERNMENTS IN CHINA. Junsan ZHAO, Yaolong ZHAO, Qiaogui ZHAO and Tao WEI
ANALYSING BRANCH BANK CLOSURES USING GIS AND THE SMART MODEL. Lihua ZHAO, Barry J. GARMER
QTM-BASED ALGORITHM FOR THE GENERATING OF VORONOI DIAGRAM FOR SPHERICAL OBJECTS. Xuesheng ZHAO, Jun CHEN
MODELING AND LANDSCAPE OF HIGHWAY CAD. Jiaqing ZHENG, Xi’an ZHAO, Chujiang CHEN
ASSISTING THE DEVELOPMENT OF KNOWLEDGE FOR PREDICTIVE MAPPING USING A FUZZY C-MEANS CLASSIFICATION. A-Xing ZHU, Edward ENGLISH
THE DESIGN AND IMPLEMENTATION OF CYBERCITY GIS (CCGIS). Qing ZHU, Deren LI, Yeting ZHANG, Hanjiang XIONG
3D COMPUTER SIMULATION OF ANCIENT CHINESE TIMBER BUILDINGS. Yixuan ZHU, Jie YANG, Deren LI
3D MODELLING FOR AUGMENTED REALITY. Siyka ZLATANOVA
THE DESIGN OF SPATIAL DATA WAREHOUSE. Yijiang ZOU
AUTHOR INDEX
Cover

Full text

ISPRS, Vol.34, Part 2W2, “Dynamic and Multi-Dimensional GIS”, Bangkok, May 23-25, 2001
170
AN ALGEBRA FOR SPATIAL RELATIONS
Zhilin LI \ Renliang ZHAO 1,2 and Jun CHEN 2
1 Department of Land Surveying and Geo-Informatics
The Hong Kong Polytechnic University, Kowloon, Hong Kong, China
lsllz@polyu.edu.hk
2 National Geometries Center of China,
1 Baishengcun, Zizhuyuan, Beijing, China, 10004
KEYWORDS: Spatial algebra, spatial relation, topological relation, set operation, Voronoi region, Voronoi diagram
ABSTRACT
Spatial relation is a very important topic for spatial reasoning, query and analysis in GIS. This paper presents a generic algebra for
spatial relations. In this algebra, (a) appropriate operators from set operators (i.e. union, intersection, difference, difference by,
symmetric difference, etc) are utilised to distinguish the spatial relations between neighbouring spatial objects; (b) three types of values
are used for the computational results of set operations, -- content, dimension and number of connected components; (c) a spatial
object is treated in a whole but the Voronoi region of an object is employed to enhance its interaction with neighbours; This is a more
generic model than existing ones in theory and practice. This approach overcomes the shortcomings of both decomposition-based and
whole-based approaches. The models developed in this project form an algebra which can effectively describes the relations of spatial
objects. From practical viewpoint, using this approach, the integration of the description and computation of spatial relations in both
vector and raster space is realised in a natural way.
1. INTRODUCTION
A formal theory of description and determination for relations
between spatial objects is usually important to spatial query,
analysis and reasoning in GIS field. For example, in the case
of digital map generalisation, spatial relations between map
objects will be altered after applying generalisation operations
such as selective omission, aggregation, displacement,
exaggeration and so on. These relations could be metric
and/or topological. Due to such changes, spatial conflicts may
be created by these operations and such conflicts need to be
checked and resolved. Recently, much attention has been paid
to this topic (e.g. Dettori and Puppo, 1996). For such a purpose,
appropriate mathematical models for spatial relations are
required.
The importance of spatial relation theory has already been
recognised in early 1980s (Marble 1984, Abler 1987). Since
then, many papers on this topic have been published by
researchers from computing science and GIS communities.
The approaches used in these works can be classified into two
categories, i.e. decomposition-based and whole-based
(Abdelmoty et al. 1994). In the former, a spatial object is
represented in terms of the set of its components, and,
relations are described and determined by the combinatorial
relations of those components. In the latter, the spatial object is
considered as a whole and, spatial relations between spatial
objects are described and determined by the interaction
between whole bodies of these objects instead of their
components.
In the category of decomposition-based approaches, most
models are built upon point set topology (Guting 1988, Pullar
1988, Egenhofer 1989, Clementini et al. 1993). In these
models, two or three components of a spatial object, i.e. interior,
boundary and exterior, are utilised. The most fundamental one
is the 4-intersection model by Egenhofer and Franzona (1991),
making use of the interior and boundary of a spatial object.
Later, this model has been extended to 9-intersection model
(Egenhofer and Herring 1991), in which the exterior of a spatial
object is also included. These models have been implemented
in raster mode by Winter and his collaborators (Winter 1995,
Winter and Frank 2000), through the use of vector
representation for raster cells. The 9-intersection model is then
modified by Chen et al. (2001) by replacing the complement of
a spatial object with its Voronoi region.
In the category of whole-based approach, main work includes
the spatial logic model developed by Randell et al. (1992) and
temporal logic model by Allen (1983). The former is built upon
the calculus of individuals (Clarke 1981) which is in turn based
on “region connection" ontology. In this model, a set of
topological relationships between concave regions is
axlomatised. Some other work based on Clarke's region
theory can also been found in literature (e.g. Vieu 1993). The
main advantage of such work rests in its rigorous logic so as to
facilitate the mathematical deduction and proof. Such models
have mainly been applied to objects of regions in the context of
artificial intelligence. Allen's temporal logic relations (Allen
1983) was originally put forward to handle two-dimensional
temporal but later it has been widely extended to higher
dimensional space (e.g. Freksa 1991, 1992; Hernandez 1993,
1994). Unfortunately, most of these models are limited to the
point-based abstraction of spatial objects.
In spite of these efforts and progresses in the last decade, it is
not deniable that there are many imperfections associated with
existing work as will be discussed in Section 2. In other words,
the formal description and determination of spatial relations is
still an open issue and it deserves further research (e.g. Vasilis
et al. 1999). In this paper, an alternative approach is proposed,
i.e. an algebraic approach based on Voronoi regions. This is
indeed a whole-based approach. In order to capture the

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