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The contouring of orientation data represented in spherical projection
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1977
Year
Projected AreaEngineeringGeometryStatistical Shape AnalysisShape AnalysisImage AnalysisSpherical ProjectionBiostatisticsSample SizeComputational GeometryStatisticsGeometry ProcessingGeometric ModelingMachine VisionMedical Image ComputingVolume RenderingComputer VisionOrientation DataNatural SciencesShape ModelingSpatial Statistics
The inadequacy of the current method of contouring orientation data in terms of the concentration of points occurring in 1% of the projected area is demonstrated. In particular, the maximum concentration and the areas occupied by the different concentrations are shown to be dependent on sample size. Using a counting area of 100/n% of the projection, where n is the sample size, yields meaningful orientation patterns which are comparable for different sample sizes. This is illustrated with reference to computer generated random and non-random orientation patterns. The data obtained are compared with predicted values and form a basis for comparison with measured orientation patterns to test their significance.