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Region Connection Calculus
The region connection calculus (RCC) is intended to serve for qualitative spatial representation and reasoning. RCC abstractly describes regions (in Euclidean space, or in a topological space) by their possible relations to each other. RCC8 consists of 8 basic relations that are possible between two regions: * disconnected (DC) * externally connected (EC) * equal (EQ) * partially overlapping (PO) * tangential proper part (TPP) * tangential proper part inverse (TPPi) * non-tangential proper part (NTPP) * non-tangential proper part inverse (NTPPi) From these basic relations, combinations can be built. For example, proper part (PP) is the union of TPP and NTPP. Axioms RCC is governed by two axioms. * for any region x, x connects with itself * for any region x, y, if x connects with y, y will connects with x Remark on the axioms The two axioms describe two features of the connection relation, but not the characteristic feature of the connect relation.Dong 2008 For example, we can say ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euclidean Space
Euclidean space is the fundamental space of geometry, intended to represent physical space. Originally, that is, in Euclid's Elements, Euclid's ''Elements'', it was the three-dimensional space of Euclidean geometry, but in modern mathematics there are Euclidean spaces of any positive integer dimension (mathematics), dimension, including the three-dimensional space and the ''Euclidean plane'' (dimension two). The qualifier "Euclidean" is used to distinguish Euclidean spaces from other spaces that were later considered in physics and modern mathematics. Ancient History of geometry#Greek geometry, Greek geometers introduced Euclidean space for modeling the physical space. Their work was collected by the Greek mathematics, ancient Greek mathematician Euclid in his ''Elements'', with the great innovation of ''mathematical proof, proving'' all properties of the space as theorems, by starting from a few fundamental properties, called ''postulates'', which either were considered as eviden ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Topological Space
In mathematics, a topological space is, roughly speaking, a geometrical space in which closeness is defined but cannot necessarily be measured by a numeric distance. More specifically, a topological space is a set whose elements are called points, along with an additional structure called a topology, which can be defined as a set of neighbourhoods for each point that satisfy some axioms formalizing the concept of closeness. There are several equivalent definitions of a topology, the most commonly used of which is the definition through open sets, which is easier than the others to manipulate. A topological space is the most general type of a mathematical space that allows for the definition of limits, continuity, and connectedness. Common types of topological spaces include Euclidean spaces, metric spaces and manifolds. Although very general, the concept of topological spaces is fundamental, and used in virtually every branch of modern mathematics. The study of topological spac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
RCC8
The region connection calculus (RCC) is intended to serve for qualitative spatial representation and reasoning. RCC abstractly describes regions (in Euclidean space, or in a topological space) by their possible relations to each other. RCC8 consists of 8 basic relations that are possible between two regions: * disconnected (DC) * externally connected (EC) * equal (EQ) * partially overlapping (PO) * tangential proper part (TPP) * tangential proper part inverse (TPPi) * non-tangential proper part (NTPP) * non-tangential proper part inverse (NTPPi) From these basic relations, combinations can be built. For example, proper part (PP) is the union of TPP and NTPP. Axioms RCC is governed by two axioms. * for any region x, x connects with itself * for any region x, y, if x connects with y, y will connects with x Remark on the axioms The two axioms describe two features of the connection relation, but not the characteristic feature of the connect relation.Dong 2008 For example, we can say ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Constraint Network
Constraint may refer to: * Constraint (computer-aided design), a demarcation of geometrical characteristics between two or more entities or solid modeling bodies * Constraint (mathematics), a condition of an optimization problem that the solution must satisfy * Constraint (classical mechanics), a relation between coordinates and momenta * Constraint (information theory), the degree of statistical dependence between or among variables * ''Constraints'' (journal), a scientific journal * Constraint (database), a concept in relational database See also * Biological constraints, factors which make populations resistant to evolutionary change * Carrier's constraint * Constrained optimization, in finance, linear programming, economics and cost modeling * Constrained writing, in literature * Constraint algorithm, such as SHAKE, or LINCS * Constraint satisfaction, in computer science * Finite domain constraint * First class constraint in Hamiltonian mechanics * Integrity constraints * Loa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Composition Table
Composition or Compositions may refer to: Arts and literature *Composition (dance), practice and teaching of choreography *Composition (language), in literature and rhetoric, producing a work in spoken tradition and written discourse, to include visuals and digital space *Composition (music), an original piece of music and its creation *Composition (visual arts), the plan, placement or arrangement of the elements of art in a work * ''Composition'' (Peeters), a 1921 painting by Jozef Peeters *Composition studies, the professional field of writing instruction * ''Compositions'' (album), an album by Anita Baker *Digital compositing, the practice of digitally piecing together a video Computer science *Function composition (computer science), an act or mechanism to combine simple functions to build more complicated ones *Object composition, combining simpler data types into more complex data types, or function calls into calling functions History *Composition of 1867, Austro-Hungarian/ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
GeoSPARQL
GeoSPARQL is a standard for representation and querying of geospatial linked data for the Semantic Web from the Open Geospatial Consortium (OGC). The definition of a small ontology based on well-understood OGC standards is intended to provide a standardized exchange basis for geospatial RDF data which can support both qualitative and quantitative spatial reasoning and querying with the SPARQL database query language. The Ordnance Survey Linked Data Platform uses OWL mappings for GeoSPARQL equivalent properties in its vocabulary. ThLinkedGeoDatadata set is a work of the Agile Knowledge Engineering and Semantic Web (AKSW) research group at the University of Leipzig, a group mostly known for DBpedia, that uses the GeoSPARQL vocabulary to represent OpenStreetMap data. In particular, GeoSPARQL provides for: * a small topological ontology in RDFS/OWL for representation using ** Geography Markup Language (GML) and well-known text representation of geometry (WKT) literals, and ** Simple ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Region Connection Calculus 8 Relations And Open Geospatial Consortium Relations
In geography, regions, otherwise referred to as zones, lands or territories, are areas that are broadly divided by physical characteristics (physical geography), human impact characteristics (human geography), and the interaction of humanity and the environment (environmental geography). Geographic regions and sub-regions are mostly described by their imprecisely defined, and sometimes transitory boundaries, except in human geography, where jurisdiction areas such as national borders are defined in law. Apart from the global continental regions, there are also hydrospheric and atmospheric regions that cover the oceans, and discrete climates above the land and water masses of the planet. The land and water global regions are divided into subregions geographically bounded by large geological features that influence large-scale ecologies, such as plains and features. As a way of describing spatial areas, the concept of regions is important and widely used among the many branches of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Spatial Relation
A spatial relationD. M. Mark and M. J. Egenhofer (1994), "Modeling Spatial Relations Between Lines and Regions: Combining Formal Mathematical Models and Human Subjects Testing"PDF/ref> specifies how some object is located in space in relation to some reference object. When the reference object is much bigger than the object to locate, the latter is often represented by a point. The reference object is often represented by a bounding box. In Anatomy it might be the case that a spatial relation is not fully applicable. Thus, the degree of applicability is defined which specifies from 0 till 100% how strongly a spatial relation holds. Often researchers concentrate on defining the applicability function for various spatial relations. In spatial databases and geospatial topology the ''spatial relations'' are used for spatial analysis and constraint specifications. In cognitive development for walk and for catch objects, or for understand objects-behaviour; in robotic Natural Feature ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
DE-9IM
The Dimensionally Extended 9-Intersection Model (DE-9IM) is a topological model and a standard used to describe the spatial relations of two regions (two geometries in two-dimensions, R2), in geometry, point-set topology, geospatial topology, and fields related to computer spatial analysis. The spatial relations expressed by the model are invariant to rotation, translation and scaling transformations. The matrix provides an approach for classifying geometry relations. Roughly speaking, with a true/false matrix domain, there are 512 possible 2D topologic relations, that can be grouped into ''binary classification schemes''. The English language contains about 10 schemes (relations), such as "intersects", "touches" and "equals". When testing two geometries against a scheme, the result is a ''spatial predicate'' named by the scheme. The model was developed by Clementini and others based on the seminal works of Egenhofer and others. It has been used as a basis for standards of ' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Reasoning
Reason is the capacity of consciously applying logic by drawing conclusions from new or existing information, with the aim of seeking the truth. It is closely associated with such characteristically human activities as philosophy, science, language, mathematics, and art, and is normally considered to be a distinguishing ability possessed by humans. Reason is sometimes referred to as rationality. Reasoning is associated with the acts of thinking and cognition, and involves the use of one's intellect. The field of logic studies the ways in which humans can use formal reasoning to produce logically valid arguments. Reasoning may be subdivided into forms of logical reasoning, such as: deductive reasoning, inductive reasoning, and abductive reasoning. Aristotle drew a distinction between logical discursive reasoning (reason proper), and intuitive reasoning, in which the reasoning process through intuition—however valid—may tend toward the personal and the subjectively opaq ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
