Method and apparatus for determining internal n-dimensional...

Details Method and apparatus for determining internal n-dimensional... Method and apparatus for determining internal n-dimensional...

G - Physics

06

F

G06F 17/17 (2006.01) G01N 37/00 (2006.01)

Patent

CA 2239146

This invention relates to methods and apparatus for determining the multi- dimensional topology of a substance (system) within a volume (space). A method according to a preferred embodiment of the invention comprises the steps of: acquiring a set of relative values for the density (scalar properties) of the volume, each value for a given location (point) within the volume; interpolating a set of functions to generate a continuous relative density for the volume; identifying critical points of the continuous relative density by using an eigenvector following method; and associating critical points with one another by following a gradient path of the continuous relative density between the critical points. The method is applicable to a wide range of data relating to fields such as crystallography, fluid dynamics, edge detection, and financial markets, to determine the topology of structures contained therein.

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