Data with Non-Euclidean Geometry and its Characterization
Prem Kumar Singh
Abstract
Recently, dealing the Non-Euclidean data and its characterization is considered as one of the major issues by researchers. The first problem arises while distinction of among Euclidean and non-Euclidean geometry. The second problem arises with dealing the Non-Euclidean geometry in true, false and uncertain regions. The third problem arises while investigating some pattern in Non-Euclidean data sets. This paper focused on tackling these issues with some real life examples.
Topics & Concepts
Euclidean geometryNon-Euclidean geometryEuclidean distanceCharacterization (materials science)Euclidean distance matrixEuclidean shortest pathEuclidean groupMathematicsComputer scienceGeometryCombinatoricsAffine spacePhysicsOpticsLongest path problemGraphShortest path problemAffine transformationComputational Geometry and Mesh GenerationAdvanced Numerical Analysis TechniquesDigital Image Processing Techniques