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APPROXIMATE GEOMETRIC REASONING WITH EXTENDED GEOGRAPHIC OBJECTS
Uncertainties in spatial data qualitative spatial reasoning fuzzy logic axiomatic geometry geographic information systems
2014/10/16
The article presents a conceptual framework for formal geometric reasoning with extended objects in the context of vernacular geography. Vernacular geography is concerned with place names and their re...
GEOMETRIC REASONING IN 3D BUILDING MODELS USING MULTIVARIATE POLYNOMIALS AND CHARACTERISTIC SETS
geometric reasoning constraints theorem proving Wu’s method multivariate polynomials 3D building models
2014/10/16
In order to generate complex virtual cities, models of buildings have to be defined in advance. A common approach describes individual components of these buildings, which are in turn restricted by ge...
GEOMETRIC REASONING IN 3D BUILDING MODELS USING MULTIVARIATE POLYNOMIALS AND CHARACTERISTIC SETS
geometric reasoning constraints theorem proving Wu’s method multivariate polynomials 3D building models
2014/10/16
In order to generate complex virtual cities, models of buildings have to be defined in advance. A common approach describes individual components of these buildings, which are in turn restricted by ge...
Visual Thinking: Art Students Have an Advantage in Geometric Reasoning
Visualization Geometry Spatial Reasoning Art Education Mathematics Education
2013/2/21
We investigated whether individuals with training in the visual arts show superior performance on geometric reasoning tasks, given that both art and geometry entail visualization and mental manipulati...
Visual Thinking: Art Students Have an Advantage in Geometric Reasoning
Visualization Geometry Spatial Reasoning Art Education Mathematics Education
2013/2/21
We investigated whether individuals with training in the visual arts show superior performance on geometric reasoning tasks, given that both art and geometry entail visualization and mental manipulati...
Approximate geometric reasoning with extended geographic objects
Uncertainties in spatial data qualitative spatial reasoning fuzzy logic axiomatic geometry
2016/4/11
The article presents a conceptual framework for formal geometric reasoning with extended objects in the context of vernacular geography. Vernacular geography is concerned with place names and their re...
Geometric reasoning in 3D building models using multivariate polynomials and characteristic sets
geometric reasoning constraints theorem proving Wu’s method multivariate polynomials 3D building models
2016/4/11
In order to generate complex virtual cities, models of buildings have to be defined in advance. A common approach describes individual components of these buildings, which are in turn restricted by ge...
The Problem of Transition Across Levels in the van Hiele Theory of Geometric Reasoning
Geometric Reasoning Transition Across Levels
2008/4/8
The most outstanding characteristic of the van Hiele theory of geometric reasoning (Hoffer, 1983; Perdikaris, 1994; van Hiele,1986) is perhaps the relationship between the levels of reasoning, a hiera...