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Three-Valued 9-Intersection for Deriving Possible Topological Relations from Incomplete Observations [chapter]

Yohei Kurata
2009 Lecture Notes in Geoinformation and Cartography  
In addition, from the pattern of the 3-9i matrix we can computationally determine a set of topological relations that may hold between the objects.  ...  Topological relations, which concern how two objects intersect, are one of the most fundamental and well-studied spatial relations.  ...  For instance, the previous class that consists of For each relation set, we can determine partial orders among topologically-equivalent 3-9i matrix classes based on their crispness.  ... 
doi:10.1007/978-3-642-00318-9_15 fatcat:27hgt3gmfjgozc22k47iro4xt4

Towards topological consistency and similarity of multiresolution geographical maps

Alberto Belussi, Barbara Catania, Paola Podestà
2005 Proceedings of the 2005 international workshop on Geographic information systems - GIS '05  
In this paper, we extend them with two notions of topological consistency, the first requiring the same topological relation between pairs of common features, the second 'relaxing' the first one by considering  ...  similarity between topological relations.  ...  Thus, we introduce a notion of distance-based consistency, that requires the transformation of each relation in the 'nearest neighbor' relations according to a topological distance between topological  ... 
doi:10.1145/1097064.1097096 dblp:conf/gis/BelussiCP05 fatcat:lkjicijs2vdqzpaxjyyh4vsfrq

Topological Consistency for Collapse Operation in Multi-scale Databases [chapter]

Hae-Kyong Kang, Tae-Wan Kim, Ki-Joune Li
2004 Lecture Notes in Computer Science  
In particular, we deal with the method of assessment of topological consistency, when 2-dimensional objects are collapsed to 1-dimensional ones.  ...  In this paper, we focus on the topological consistency between the source and derived databases, which is one of the important constraints to respect.  ...  Future work therefore includes the completion of the consistent correspondences considering all cases of collapse operations.  ... 
doi:10.1007/978-3-540-30466-1_9 fatcat:mlgszulhcvdtjgo5im7ipcwqvm

Tracking topological changes in feature models

Hilderick A. van der Meiden, Willem F. Bronsvoort
2007 Proceedings of the 2007 ACM symposium on Solid and physical modeling - SPM '07  
The considered feature model consists of a system of geometric constraints, relating parameters to feature geometry, and a cellular model.  ...  Current feature models do not explicitly represent the relation between the parameters and the topology of the model.  ...  Topology, in this context, is represented by a cellular model, consisting of entities of a given type and adjacency relations between entities.  ... 
doi:10.1145/1236246.1236295 dblp:conf/sma/MeidenB07 fatcat:did7o75dorgcvdqqwfqphma56q

Approximating sets with equivalence relations

W. Marek, H. Rasiowa
1986 Theoretical Computer Science  
These equivalence relations determine a sequence of closure operations Cli. Given a set X, the approximation sequence of X is simply (Cli(X))i<e.  ...  of equivalence relations ('approximation spaces of order ~').  ...  Acknowledgment We are grateful to our colleagues of Lexington and Warsaw: A. Ferry, A. Goshtasby, Z. Pawlak, C. Rauszer, and M. Truszczynski for discussions on the subject.  ... 
doi:10.1016/0304-3975(86)90092-7 fatcat:jdtxza2ozvh3volzf67npljqii

Determining the optimum topology of composites by the flexural stiffness criterion

MOGA Bogdan Vasile, MOGA Vasile
2012 INCAS Bulletin  
An important stage in designing of pieces made of composite materials consists of establishing the composite topology in such a way that it has certain properties needed in exploitation.  ...  The indirect problem consists in determining the maximum stiffness, the thickness of the groups and composite for a given (imposed) mass, knowing the densities and elasticity modules of the groups.  ...  The minimum mass is determined using relation (9) .  ... 
doi:10.13111/2066-8201.2012.4.2.7 fatcat:wbd5zlb3mjg4ri2kqb43uxynuy

Approximating sets with equivalence relations

W Marek, H Rasiowa
1986 Proceedings of the ACM SIGART international symposium on Methodologies for intelligent systems -  
These equivalence relations determine a sequence of closure operations Cli. Given a set X, the approximation sequence of X is simply (Cli(X))i<e.  ...  of equivalence relations ('approximation spaces of order ~').  ...  Acknowledgment We are grateful to our colleagues of Lexington and Warsaw: A. Ferry, A. Goshtasby, Z. Pawlak, C. Rauszer, and M. Truszczynski for discussions on the subject.  ... 
doi:10.1145/12808.12830 fatcat:asz5uflljzc25deozmbvj2aujm

Modeling and Analyzing Distributed Computation in Monotone Spaces with Structural Map

Susmit Bagchi
2016 International Journal of Software Engineering and Its Applications  
It is illustrated that, the modeling of distributed computation in monotone spaces helps in determining consistent cuts under closure and convergence of computation.  ...  However, the monotone spaces are the general forms of topological spaces and can be effectively employed to analyze distributed computation.  ...  The monotone property of topological spaces may be used to determine consistent cuts and to analyze the convergence of distributed computing in monotone topological spaces.  ... 
doi:10.14257/ijseia.2016.10.4.10 fatcat:qxqzm3uttzhjlbklgwr4lt2tkq

Formal analysis of control and termination of distributed computation in weaker spaces

Susmit Bagchi
2018 Cogent Engineering  
A distributed algorithm is designed to observe and to determine varying control states of computation. The article includes a detailed comparative analysis of a set of models in the domain.  ...  This article proposes the modeling and analysis of observable and controllable distributed computation in weaker topological spaces.  ...  Author details Susmit Bagchi 1 E-mail: profsbagchi@gmail.com 1 Department of Aerospace and Software Engineering (Informatics) Gyeongsang National University, Jinju, Republic of Korea.  ... 
doi:10.1080/23311916.2018.1475033 fatcat:a37gr7vyozhpldu77js7tupdx4

Line Simplification in the Presence of Non-Planar Topological Relationships [chapter]

Padraig Corcoran, Peter Mooney, Michela Bertolotto
2012 Lecture Notes in Geoinformation and Cartography  
This is achieved through the use of a computable set of topological invariants, which is complete and allows the topological consistency of an arbitrary simplification to be determined.  ...  A main objective of many line simplification methods is to progressively reduce the scale of shape properties and, in turn, provide a more explicit representation of global shape properties.  ...  Existing methods for determining topological consistency In this section, we review existing methods for determining the topological consistency of a given simplification.  ... 
doi:10.1007/978-3-642-29063-3_2 fatcat:ljztj4jbnvgd3nsodpupa2x5z4

Inconsistency Issues in Spatial Databases [chapter]

Andrea Rodríguez
2005 Lecture Notes in Computer Science  
The chapter focuses on inconsistency associated with the geometric representation of objects, spatial relations between objects, and composite objects by aggregation.  ...  In particular, it reviews types of inconsistency, specification of integrity constraints, and treatment of inconsistency in multiple representations and data integration.  ...  The minimum repair of the database that considers partial consistency could also determine that objects keep the same topological relations despite the fact that they have conflicting geometric representations  ... 
doi:10.1007/978-3-540-30597-2_8 fatcat:edougipvhveexkikdrkso47ud4

Modeling Slicer and Control Algorithm for Distributed Computation in Metrized Weaker Topological Spaces

Susmit Bagchi
2017 International Journal of Control and Automation  
However, flexibility of the model can be enhanced in weaker topological spaces.  ...  The control of computation of such hybrid geo-distributed systems is difficult in the presence of randomly varying network delays and unpredictable occurrence of partitions in network topology.  ...  Controllability of Computation The determination of controllability of computation in monotone spaces requires observation of control states within topological spaces.  ... 
doi:10.14257/ijca.2017.10.12.19 fatcat:6pvqb4u5xnglxeafeka5b4ja2y

EXTENSION OF RCC TOPOLOGICAL RELATIONS FOR 3D COMPLEX OBJECTS COMPONENTS EXTRACTED FROM 3D LIDAR POINT CLOUDS

Xu-Feng Xing, Mir Abolfazl Mostafavia, Chen Wang
2016 The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences  
Finally, the geometric information is transformed into a list of strings consisting of topological relations between two planar regions and detailed connection information.  ...  Topological relations are fundamental for qualitative description, querying and analysis of a 3D scene.  ...  ACKNOWLEDGEMENTS This research was made possible by an operating grant from Natural Sciences and Engineering Research Council of Canada (NSERC).  ... 
doi:10.5194/isprsarchives-xli-b3-425-2016 fatcat:m5wegamtmvfixamayq6qiczfm4

EXTENSION OF RCC TOPOLOGICAL RELATIONS FOR 3D COMPLEX OBJECTS COMPONENTS EXTRACTED FROM 3D LIDAR POINT CLOUDS

Xu-Feng Xing, Mir Abolfazl Mostafavia, Chen Wang
2016 The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences  
Finally, the geometric information is transformed into a list of strings consisting of topological relations between two planar regions and detailed connection information.  ...  Topological relations are fundamental for qualitative description, querying and analysis of a 3D scene.  ...  ACKNOWLEDGEMENTS This research was made possible by an operating grant from Natural Sciences and Engineering Research Council of Canada (NSERC).  ... 
doi:10.5194/isprs-archives-xli-b3-425-2016 fatcat:d73fxnj4pjecbguw3e7cuhl3ia

Qualitative Spatial Reasoning with Directional and Topological Relations

Sangha Nam, Incheol Kim
2015 Mathematical Problems in Engineering  
They provide only the checking function for path-consistency within a directional or topological relation set.  ...  Our algorithm not only has the checking function for path-consistency within each directional or topological relation set, but also provides the checking function for cross-consistency between them.  ...  Conflict of Interests The authors declare that there is no conflict of interests regarding the publication of this paper.  ... 
doi:10.1155/2015/902043 fatcat:32aho2oidvbslfy6zm24xojddy
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