Search results for "Shape description"

showing 2 items of 2 documents

Two-view “cylindrical decomposition” of binary images

2001

This paper describes the discrete cylindrical algebraic decomposition (DCAD) construction along two orthogonal views of binary images. The combination of two information is used to avoid ambiguities for image recognition purposes. This algorithm associates an object connectivity graph to each connected component, allowing a complete description of the structuring information. Moreover, an easy and compact representation of the scene is achieved by using strings in a five letter alphabet. Examples on complex digital images are also provided. © 2001 Elsevier Science Inc.

Connected componentNumerical AnalysisAlgebra and Number TheoryTheoretical computer scienceSettore INF/01 - InformaticaBinary imageObject (computer science)StructuringCylindrical algebraic decompositionString representationDigital imageImage decompositionComputer Science::Computer Vision and Pattern RecognitionDecomposition (computer science)Discrete Mathematics and CombinatoricsGeometry and TopologyRepresentation (mathematics)AlgorithmShape descriptionMathematicsLinear Algebra and its Applications
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Representing 2D Digital Objects

2000

The paper describes the combination a multi-views approach to represent connected components of 2D binary images. The approach is based on the Object Connectivity Graph (OCG), which is a sub-graph of the connectivity graph generated by the Discrete Cylindrical Algebraic Decomposition(DCAD) performed in the 2D discrete space. This construction allows us to find the number of connected components, to determine their connectivity degree, and to solve visibility problem. We show that the CAD construction, when performed on two orthogonal views, supply information to avoid ambiguities in the interpretation of each image component. The implementation of the algorithm is outlined and the computati…

Connected componentTheoretical computer scienceSettore INF/01 - InformaticaComputational complexity theoryDegree (graph theory)Computer scienceDiscrete spaceDigital topologyShape representationTopologyTheoretical Computer ScienceCylindrical algebraic decompositionComputer ScienceShape decompositionRepresentation (mathematics)Digital topologyConnectivityShape description
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