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Obtuse Angle Shadowing Networks and Distance-Based Interpolation
Obtuse Angle Shadowing Networks and Distance-Based Interpolation
Bad data is much more common than good data. Suppose that you have a set of scattered points in any or an unknown number of dimensions and that you do not know their coordinates, but you know how to calculate the distance between them. If you have a function defined on this point set, you might define a distance-based interpolation function to estimate the function value for a new point of the same kind. This kind of interpolation should have applications in various fields, for example, image processing and machine learning. This Demonstration lets you investigate and compare five different interpolation methods, one coordinate-based and four distance-based methods in 2D, with different properties and different regions of applicability. The Demonstration also allows experimenting with an obtuse-angle shadowing network connecting nearby points in the point set.