Search results for "Adjacency list"

showing 2 items of 12 documents

A Complete, Exact and Efficient Implementation for Computing the Edge-Adjacency Graph of an Arrangement of Quadrics

2011

International audience; We present a complete, exact and efficient implementation to compute the edge-adjacency graph of an arrangement of quadrics, i.e. surfaces of algebraic degree 2. This is a major step towards the computation of the full 3D arrangement. We enhanced an implementation for an exact parameterization of the intersection curves of two quadrics, such that we can compute the exact parameter value for intersection points and from that the edge-adjacency graph of the arrangement. Our implementation is complete in the sense that it can handle all kinds of inputs including all degenerate ones, i.e. singularities or tangential intersection points. It is exact in that it always comp…

pencils of quadricsIntersection curveComputation010103 numerical & computational mathematics02 engineering and technology[INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG]01 natural sciencesInterval arithmeticCombinatorics0202 electrical engineering electronic engineering information engineering0101 mathematicsAlgebraic numberMathematicsDiscrete mathematics[INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC]Algebra and Number TheoryImplicit functionDegenerate energy levels020207 software engineeringComputational Mathematicsintersection of surfacesAdjacency listcurve parameterizationGravitational singularityArrangementquadricsMathematicsofComputing_DISCRETEMATHEMATICS
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Beware of contagion!

2003

Landscape ecology starts from the assumption that diversity and spatial arrangement of ecosystem mosaics has ecological implications and tries to understand the interactions between diversity and structure of large spatially heterogeneous areas and its ecological functions. This approach implies effective use of earth observation techniques and geographic information systems, enabling a global view of the landscape mosaics. Consequently, a large number of indices has been used to quantify the structure of categorical maps as a surrogate of actual landscapes and correlate them to ecological processes. In particular, the entropy-based contagion index has been extensively used to summarize the…

shannon's entropyGeographic information systemEcologyPixelEcologybusiness.industryComputer scienceLandscape epidemiologycategorical maps; evenness; fragmentation; shannon's entropy; shannon’s entropycomputer.file_formatManagement Monitoring Policy and Lawcategorical mapsUrban Studiesshannon’s entropyfragmentationAdjacency listEntropy (information theory)evennessRaster graphicsLandscape ecologybusinessCartographyCategorical variablecomputerNature and Landscape Conservation
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