scholarly journals Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and Representation

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Nadeem Salamat ◽  
El-hadi Zahzah
Keyword(s):  
Spatial Relations ◽  
Two Dimensional ◽  
Artificial Data ◽  
Topological Relations ◽  
Object Pair ◽  
Directional Relation ◽  
Fuzzy Objects ◽  
Fuzzy Spatial Relations ◽  
Directional Relations ◽  
Object Level

Fuzziness is found everywhere, in modeling spatial relations, fuzziness is found at object level as well as in relation semantics. Commonly, fuzzy topological relations are computed between fuzzy objects. Fuzziness in relation semantics is represented by fuzzy topological relations between crisp objects and these types of fuzzy topological relations are much less developed. In this paper, we propose a method for combining fuzzy topological and directional relations. We also propose an algorithm for defuzzification of relations which provides us a binary topological and directional relation between a 2D object pair. These relations are represented in a neighborhood graph. For validation and assessment, a number of experiments have been performed on artificial data.

scholarly journals A Geospatial Application Framework for Directional Relations

2019 ◽  
Vol 8 (1) ◽  
pp. 33
Author(s):  
Eliseo Clementini ◽  
Giampaolo Bellizzi
Keyword(s):  
Data Analysis ◽  
Data Processing ◽  
Spatial Relations ◽  
Theoretical Models ◽  
Frames Of Reference ◽  
Application Framework ◽  
Topological Relations ◽  
Intersection Model ◽  
Geographic Data ◽  
Directional Relations

Geographic data analysis is based on the use of spatial relations as a means of selecting and processing geometric data associated with geographic features. Starting from 1990, topological relations have been recognized as fundamental criteria in geographic data processing, leaving out other kinds of spatial relations, such as directional relations. The latter ones, despite having quite an important role in geospatial applications, have been developed as theoretical models but very little implemented in systems. We refer in this paper to the 5-intersection model for expressing projective relations that can be used to implement directional relations in various frames of reference. We design an application framework in Java and use the framework for answering various categories of queries involving directions. We finally outline how to use the framework for validating the cognitive adequacy of relations with user tests.

Site-projected electronic structure of two-dimensional Ti3C2MXene: the role of the surface functionalization groups

2016 ◽  
Vol 18 (45) ◽  
pp. 30946-30953 ◽  
Author(s):  
Damien Magne ◽  
Vincent Mauchamp ◽  
Stéphane Célérier ◽  
Patrick Chartier ◽  
Thierry Cabioc'h
Keyword(s):  
Electronic Structure ◽  
Surface Functionalization ◽  
Chemical Bonding ◽  
Surface Groups ◽  
Two Dimensional ◽  
Object Level

The role of the surface groups in chemical bonding in two dimensional Ti3C2is evidenced at the nano-object level.

scholarly journals A Model of Fuzzy Topological Relations for Simple Spatial Objects in GIS

2015 ◽  
Vol 21 (2) ◽  
pp. 389-408
Author(s):  
BO LIU ◽  
DAJUN LI ◽  
JIAN RUAN ◽  
LIBO ZHANG ◽  
LAN YOU ◽  
...  
Keyword(s):  
Fuzzy Topology ◽  
Topological Relations ◽  
Line Segments ◽  
New Model ◽  
Spatial Objects ◽  
Fuzzy Models ◽  
Fuzzy Topological Space ◽  
Fuzzy Objects ◽  
Fuzzy Regions ◽  
Geographic Information Sciences

The goal of this paper is to present a new model of fuzzy topological relations for simple spatial objects in Geographic Information Sciences (GIS). The concept of computational fuzzy topological space is applied to simple fuzzy objects to efficiently and more accurately solve fuzzy topological relations, extending and improving upon previous research in this area. Firstly, we propose a new definition for simple fuzzy line segments and simple fuzzy regions based on computational fuzzy topology. And then, we also propose a new model to compute fuzzy topological relations between simple spatial objects, an analysis of the new model exposes:(1) the topological relations of two simple crisp objects; (2) the topological relations between one simple crisp object and one simple fuzzy object; (3) the topological relations between two simple fuzzy objects. In the end, we have discussed some examples to demonstrate the validity of the new model, through an experiment and comparisons of existing models, we showed that the proposed method can make finer distinctions, as it is more expressive than the existing fuzzy models.

scholarly journals Detection of Symmetry and Repetition in One and Two Objects

2009 ◽  
Vol 56 (1) ◽  
pp. 5-17 ◽  
Author(s):  
Arno Koning ◽  
Johan Wagemans
Keyword(s):  
Three Dimensional ◽  
Intrinsic Property ◽  
Spatial Relations ◽  
Two Dimensional ◽  
Single Object ◽  
Ground Segmentation ◽  
Matching Strategy ◽  
The One

Symmetry is usually easier to detect within a single object than in two objects (one-object advantage), while the reverse is true for repetition (two-objects advantage). This interaction between regularity and number of objects could reflect an intrinsic property of encoding spatial relations within and across objects or it could reflect a matching strategy. To test this, regularities between two contours (belonging to a single object or two objects) had to be detected in two experiments. Projected three-dimensional (3-D) objects rotated in depth were used to disambiguate figure-ground segmentation and to make matching based on simple translations of the two-dimensional (2-D) contours unlikely. Experiment 1 showed the expected interaction between regularity and number of objects. Experiment 2 used two-objects displays only and prevented a matching strategy by also switching the positions of the two objects. Nevertheless, symmetry was never detected more easily than repetition in these two-objects displays. We conclude that structural coding, not matching strategies, underlies the one-object advantage for symmetry and the two-objects advantage for repetition.

Fuzzy Three-Dimensional Voronoi Diagram and its Application to Geographical Data Analysis

2012 ◽  
Vol 16 (2) ◽  
pp. 191-198
Author(s):  
Mian Dai ◽  
◽  
Fangyan Dong ◽  
Kaoru Hirota
Keyword(s):  
Voronoi Diagram ◽  
Three Dimensional ◽  
Spatial Relation ◽  
Spatial Relations ◽  
Mountainous Area ◽  
Two Dimensional ◽  
Spatial Direction ◽  
Geographical Data ◽  
Direction Relations ◽  
Complex Boundaries

A concept of fuzzy three-dimensional Voronoi Diagram is presented for spatial relations analysis of real world three-dimensional geographical data, where it is an extension of well known two-dimensional Voronoi Diagram to three-dimensional representation with uncertain spatial relation information in terms of fuzzy set. It makes possible to analyze quantitatively complex boundaries of geographically intricate areas, to give human friendly fuzzy explanation of determining three-dimensional directions, and to express uncertain spatial relations by precise unified fuzzy description. It is applied to decide spatial direction relations of artificial geographicalmountain data, which includes 8 spatial directions with at most 60 relative direction relations, and it leads to detect threedimensional directions whereas the expression of traditional 4 directions and 12 relative directions indicate two-dimensional directions only. The proposed concept aims to discriminate neighbors’ class relations and spatial-temporal changes of specially appointed objects, and also aims to be a tool to achieve the intellective extraction and analysis of geographical data of a mountainous area located in northeast China.

Two-dimensional analysis of spatial pattern in vegetation for site comparison

1990 ◽  
Vol 68 (1) ◽  
pp. 149-158 ◽  
Author(s):  
M. R. T. Dale
Keyword(s):  
Spatial Pattern ◽  
Dimensional Analysis ◽  
Satellite Imagery ◽  
Two Dimensions ◽  
Vegetation Classification ◽  
New Method ◽  
Two Dimensional ◽  
Vegetation Composition ◽  
Artificial Data ◽  
Rectangular Grids

A new method for the analysis of spatial pattern in two dimensions is described. The technique uses data collected in square or rectangular grids of quadrats to examine the scale of pattern in vegetation, no matter how the grids are oriented with respect to the pattern. Its usefulness is demonstrated by application to artificial data. The method is also applied to vegetation classification data derived from LANDSAT TM satellite imagery of a valley in the Yukon, Canada, in which the effects of experimental manipulations on boreal communities are being studied. A set of 2 × 2 km squares of the valley were selected for analysis in which the vegetation composition squares varies considerably. The analysis shows that most of the squares had one and only one scale of two dimensional pattern, consistently in the range of 360–780 m.

scholarly journals BoR: BAG-OF-RELATIONS FOR SYMBOL RETRIEVAL

2014 ◽  
Vol 28 (06) ◽  
pp. 1450017 ◽  
Author(s):  
K. C. SANTOSH ◽  
LAURENT WENDLING ◽  
BART LAMIROY
Keyword(s):  
State Of The Art ◽  
Spatial Relations ◽  
Topological Relation ◽  
Directional Relation ◽  
User Friendly ◽  
Comprehensive Study

In this paper, we address a new scheme for symbol retrieval based on bag-of-relations (BoRs) which are computed between extracted visual primitives (e.g. circle and corner). Our features consist of pairwise spatial relations from all possible combinations of individual visual primitives. The key characteristic of the overall process is to use topological relation information indexed in BoRs and use this for recognition. As a consequence, directional relation matching takes place only with those candidates having similar topological configurations. A comprehensive study is made by using several different well-known datasets such as GREC, FRESH and SESYD, and includes a comparison with state-of-the-art descriptors. Experiments provide interesting results on symbol spotting and other user-friendly symbol retrieval applications.

scholarly journals Spatiotemporal Relations and Modeling Motion Classes by Combined Topological and Directional Relations Method

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Nadeem Salamat ◽  
El-hadi Zahzah
Keyword(s):  
Temporal Order ◽  
Motion Events ◽  
Topological Stability ◽  
Topological Relations ◽  
Diverse Application ◽  
Emerging Issues ◽  
Orientation Information ◽  
Spatio Temporal ◽  
Directional Relations ◽  
Spatiotemporal Relations

Defining spatiotemporal relations and modeling motion events are emerging issues of current research. Motion events are the subclasses of spatiotemporal relations, where stable and unstable spatio-temporal topological relations and temporal order of occurrence of a primitive event play an important role. In this paper, we proposed a theory of spatio-temporal relations based on topological and orientation perspective. This theory characterized the spatiotemporal relations into different classes according to the application domain and topological stability. This proposes a common sense reasoning and modeling motion events in diverse application with the motion classes as primitives, which describe change in orientation and topological relations model. Orientation information is added to remove the locative symmetry of topological relations from motion events, and these events are defined as a systematic way. This will help to improve the understanding of spatial scenario in spatiotemporal applications.

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