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

2015 Boletim de Ciências Geodésicas  
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  ...  Based on empty and non-empty invariance, Clementini and Di Felice's Algebraic model, , gave a total of 44 relations between two spatial regions with a broad boundary.  ... 
doi:10.1590/s1982-21702015000200022 fatcat:co2wxrxmafer7i6c7qkhpdcviu

Cognitively plausible representations for the alignment of sketch and geo-referenced maps

Sahib Jan, Angela Schwering, Carl Schultz, Malumbo Chaka Chipofya
2017 Journal of Spatial Information Science  
In many geo-spatial applications, freehand sketch maps are considered as an intuitive way to collect user-generated spatial information.  ...  Researchers have proposed various qualitative representations to capture distorted and generalized spatial information in sketch maps.  ...  The QCNs at the local level are incomplete graphs. The qualifier and spatial rules introduce a none relation between non-adjacent objects in the scene.  ... 
doi:10.5311/josis.2017.14.294 fatcat:gbkvgh2i5bcadmqzxlmaoipak4

Combinational Reasoning of Quantitative Fuzzy Topological Relations for Simple Fuzzy Regions

Bo Liu, Dajun Li, Yuanping Xia, Jian Ruan, Lili Xu, Huanyi Wu, Yong Deng
2015 PLoS ONE  
relations of multi-resolution spatial databases.  ...  Thus, extending the existing research and improving upon the previous work, this paper presents a new method to describe fuzzy topological relations between simple spatial regions in Geographic Information  ...  topological relations of multi-resolution spatial databases [5] [6] [7] .  ... 
doi:10.1371/journal.pone.0117379 pmid:25775452 pmcid:PMC4361350 fatcat:ipzvtdprgbg6tmfd3jimdlsvwq

A survey of qualitative spatial representations

Juan Chen, Anthony G. Cohn, Dayou Liu, Shengsheng Wang, Jihong Ouyang, Qiangyuan Yu
2013 Knowledge engineering review (Print)  
The reasons for this interest in using qualitative spatial relations include cognitive comprehensibility, efficiency and computational facility.  ...  Representation and reasoning with qualitative spatial relations is an important problem in artificial intelligence and has wide applications in the fields of geographic information system, computer vision  ...  The topological relations between the indefinite regions are represented by a quadruple of RCC relations between the component crisp regions.  ... 
doi:10.1017/s0269888913000350 fatcat:47zparitlbb4zmzwobixv2w4ai

Consistency among parts and aggregates: A computational model

1996 Transactions on GIS  
The formalism extends immediately to relations between two regions with disconnected parts as well as to relations between a region and an arbitrary number of separations.  ...  Heterogeneous geographic databases contain multiple views of the same geographic objects at different levels of spatial resolution.  ...  Consistent Topological Relations between Regions with Disconnected Parts Ideally, no knowledge about the relation between D A 01 and B would be required to derive the topological relation between A * *  ... 
doi:10.1111/j.1467-9671.1996.tb00044.x fatcat:st6je5uabbdxbbh7yhiva5gh5q

Topological Visualisation Techniques for Volume Multifield Data [chapter]

Dean P. Thomas, Rita Borgo, Robert S. Laramee, Simon J. Hands
2018 Computer Graphics and Imaging [Working Title]  
Topological algorithms are used to reduce scalar fields to a skeleton by mapping critical changes in the topology to the vertices of graph structures.  ...  This survey paper provides an overview of topological visualisation techniques for scalar data sets.  ...  The "rank invariant" is a method for representing persistence in a multi-field by generalising upon the concept of Betti numbers present in univariate topology.  ... 
doi:10.5772/intechopen.82185 fatcat:f4pgvn2dvzauxp4l6vmje47itm

Simple QSF-trees

Byunggu Yu, Ratko Orlandic, Martha Evens
1999 Proceedings of the eighth international conference on Information and knowledge management - CIKM '99  
The method exploits the semantics of topological relations between spatial objects to further reduce the number of index nodes visited during the search.  ...  Keywords Database management, spatial database, spatial access methods, point access methods, topological relations.  ...  For each topological relation between actual spatial objects, Table 3 gives the coordinates of the L-and H-region used in searching a QSF-tree.  ... 
doi:10.1145/319950.319953 dblp:conf/cikm/YuOE99 fatcat:m5dmuhya4ff2xg47ist22uk2la

2D Figure Pattern Mining [chapter]

Keiji Gyohten, Hiroaki Kizu, Naomichi Sue
2011 New Fundamental Technologies in Data Mining  
Topology graph mining Our method represents spatial relations between the geometric primitives as the topology graph, which is invariant to the 2D affine transformations such as rotation, scaling and www.intechopen.comNew  ...  The edge labels represent the spatial relations between the geometric primitives touching or intersecting each other.  ... 
doi:10.5772/13425 fatcat:iyfk4w3oerephcqewbh3ielaxu

A spatiotemporal object-oriented data model for landslides (LOOM)

Mario Valiante, Domenico Guida, Marta Della Seta, Francesca Bozzano
2020 Landslides. Journal of the International Consortium on Landslides  
Spatial relations are handled through a hierarchical classification based on topological rules and two levels of aggregation are defined: (i) landslide complexes, grouping spatially connected landslides  ...  It aims at the effective storage, in a single dataset, of the complex spatial and temporal relations between landslides recorded and mapped in an area and at their manipulation.  ...  RCC describes regions by their possible relations to each other. RCC8 consists of 8 basic relations that are possible between two regions.  ... 
doi:10.1007/s10346-020-01591-4 fatcat:hwnrxjtdofdpbbttqmmanwbz4e

Ensuring semantic spatial constraints in virtual environments using UML/OCL

Thanh-Hai Trinh, Ronan Querrec, Pierre De Loor, Pierre Chevaillier
2010 Proceedings of the 17th ACM Symposium on Virtual Reality Software and Technology - VRST '10  
We mainly focus on two important classes of spatial relations, namely, topological and projective relations that allow nonmetric representation of space.  ...  Spatial objects and relationships between them, compose a spatial model that is the backbone of virtual environments (VEs).  ...  This work was supported by La Région Bretagne, France.  ... 
doi:10.1145/1889863.1889912 dblp:conf/vrst/TrinhQLC10 fatcat:qfjf3t7bejgfrktyshifqhcuua

Joint Contour Net analysis of lattice QCD data [article]

Dean P. Thomas, Rita Borgo, Hamish Carr, Simon Hands
2018 arXiv   pre-print
In this work we consider how multivariate topological visualisation techniques can be applied to simulation data to help domain scientists predict the location of phase transitions.  ...  In the process it is intended that applying these techniques to lattice QCD will strengthen the interpretation of output from multivariate topological algorithms, including the joint contour net.  ...  At higher levels of cooling positive and negative regions become direct neighbours with no near-zero region in between.  ... 
arXiv:1703.02488v3 fatcat:4ygq4beqtbcvxnlkjpfehldbsq

Analysis of Graph Invariants in Functional Neocortical Circuitry Reveals Generalized Features Common to Three Areas of Sensory Cortex

Suchin S. Gururangan, Alexander J. Sadovsky, Jason N. MacLean, Olaf Sporns
2014 PLoS Computational Biology  
distinct cortical regions.  ...  By establishing the presence of graph invariants, which are label-independent characteristics common to all circuit topologies, our study revealed organizational features that generalized across functionally  ...  To foster reproducibility and fast development of future work based upon these results, we have published functional graph analysis tools under an open source, GPLv3 license, available here: https:/  ... 
doi:10.1371/journal.pcbi.1003710 pmid:25010654 pmcid:PMC4091703 fatcat:hvpiauftjjcedi7h2txsc6swpq

Discovery of spatial association rules in geo-referenced census data: A relational mining approach

Annalisa Appice, Michelangelo Ceci, Antonietta Lanza, Francesca A. Lisi, Donato Malerba
2003 Intelligent Data Analysis  
The formulation of a new method based on a multi-relational data mining approach is proposed.  ...  In particular, the accommodation of the spatial dimension in census data mining is investigated for the task of discovering spatial association rules, that is, association rules involving spatial relations  ...  (Spatial Mining for Data of Public Interest) and by the MURST COFIN-2001 project on "Methods for the extraction, validation and representation of statistical information in a decision context".  ... 
doi:10.3233/ida-2003-7604 fatcat:3qhtztbbprho5bgtue5s3euqlq

Critical matter and geometric phase transitions

W.R Wood
2004 Physics Letters A  
These two elements are shown to induce a geometric phase transition from Riemannian geometry to a conformally invariant geometry. PACS numbers: 64.60.-i, 02.40.-k, 04.20.-q  ...  A review of the fundamental nature of critical phenomena suggests that fluctuations of matter fields coupled with a topological transition are the signature elements of critical systems.  ...  Papini for introducing him to the topic of conformal invariance.  ... 
doi:10.1016/j.physleta.2004.01.044 fatcat:sbze25oh55ddzbqr54iekbz6qm

Topo-distance: Measuring the Difference between Spatial Patterns [chapter]

Marco Aiello
2000 Lecture Notes in Computer Science  
The framework uses a multi-modal language S4u interpreted on topological spaces (rather than Kripke semantics) to describe the spatial patterns.  ...  A framework to deal with spatial patterns at the qualitative level of mereotopology is proposed. The main contribution is to provide formal tools for issues of model equivalence and model similarity.  ...  Given two topological models X, O, ν , X , O , ν , a total topological bisimulation is a non-empty relation ⊆ X × X defined for all x ∈ X and for all x ∈ X such that if x x : (base): x ∈ ν(p) iff x ∈ ν  ... 
doi:10.1007/3-540-40006-0_6 fatcat:fl2svirudbeermhkizkfmpvmyq
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