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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:: QUANTITATIVE MEASURES FOR SPATIAL INFORMATION OF MAPS. Zhilin LI and Peizhi HUANG

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
164
QUANTITATIVE MEASURES FOR SPATIAL INFORMATION OF MAPS
Zhilin LI and Peizhi HUANG
Dept, of Land Surveying and Geo-Informatics
The Hong Kong Polytechnic University
Kowloon, Hong Kong
e-mail: Lszlli@polvu.edu.hk
KEYWORDS: Spatial information, quantitative measure, information content, maps, topological information, thematic information.
ABSTRACT
Map is media for recording geographical information. The information contents for a map is of interest to spatial information scientists. In
this paper, existing quantitative measures for map information have been evaluated. It has been pointed out that these are only measures
for statistical information and some sort of topological information. However, these measures have not taken into consideration of the
spaces occupied by map symbols and spatial distribution of these symbols. As a result, a set of new quantitative measures is proposed, i.e.
for metric information, topological information and thematic information. Experimental evaluation is also conducted. Results show that the
metric information is more meaningful than statistical information and the new index for topological information is also more meaningful than
the existing one. It is also found that the new measure for thematic information is also useful in practice.
1. INTRODUCTION
For many centuries, map has been as a media for recording and
presenting geographical information and has played an important
role in human activities. On a map, geographical information is
expressed with cartographic symbols. As map is regarded as a
communication tool, cartographers are interested in the
effectiveness of map design and the information content of a
map (e.g. Knopfli 1983, Bjprke 1996). The former can be
studied either through theoretical analysis or through map
evaluation experiments similar to a clinic survey. However, it is
outside of the scope of this study and no further discussion will
be conducted in this paper. Indeed, this paper is to discuss the
information content of a map.
The interest in map information dated back to later 1960s after
the publication of the work on quantitative measures of
information by Shannon (1948) and Shannon and Weaver
(1949), which is normally termed as “information theory” and was
applied in communication theory. 'Entropy' is a quantitative
measure for the information content contained in a message.
The pioneering work in quantitative measurement of map
information was done by Sukhov (1967, 1970), who considered
the statistics of different types of symbols represented on a map.
That's the entropy of these symbols are computed. This is a kind
of direct application of Shannon's information measure in
cartography. This is indeed a kind of statistical information.
Later, Neumann (1987, 1994) did some work on topological
information of maps. Neumann (1994) demonstrated the
measurement of topological information for a contour map using
the information concept developed in communication theory. In
his work, a dual graph is formed to record topological relationship
between neighbouring contour lines, and then the entropy of the
dual graph is computed. Quantitative measures for map
information has bee used for comparing the information contents
between maps and images, maps at different scale, evaluation of
map design and so on (Knopfli 1983, Bjarke 1996).
However, it is clear that spatial information is more than simple
statistical information and topological information. It may also
contain geometric and thematic information. In other words, the
spatial position and distribution of map symbols should also be
considered when a quantitative measure is designed for spatial
information. In this study, Voronoi regions of symbols have been
employed to model the spatial distribution of map symbol and
then a new set of quantitative measures for spatial information on
a map.
This introduction is followed by an evaluation of existing
measures (Section 2). Based on the evaluation results, a set of
new quantitative measures is then introduced (Section 3) and
these new measures are experimentally evaluated (Section 4).
Finally, some conclusions are made (Section 5).
2. EVALUATION OF EXISTING QUANTITATIVE
MEASURES FOR MAP INFORMATION
As stated in the introduction section, two important pieces of
work on map information have been done previously, one for
statistical information and the other for topological information. In
order to introduce new measures, it seems pertinent to conduct
an evaluation on existing work to reveal the advantages and
shortcomings of such measures.
2.1 The quantitative measure of information in
communication: Entropy
Shannon (1948) was the first person to introduce entropy in the
quantification of information. He employed the probabilistic
concept in modelling message communication. He believed that
a particular message is one element from a set of all possible
messages. If the number of messages in this set is finite, then
this number or any monotonie function of this number can be
regarded as a measure of the information when one message is
chosen from the set, all choices being equally likely. Based upon
this assumption, information can be modelled as a probabilistic
process. He then introduced the concept of 'entropy' to measure
the information content.
Let X be the random message variable, the probabilities of
different message choices are Pi, P 2 , ... Pi, ... P n . The entropy
of X can be computed as follows:
H(X) = H(P„p r ,...p n ) = -f j PMP i ) m
i=\

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