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A matlab function to compute Pair and Vector Resolved Spatial Statistics on Materials Science information.

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SpatialStatisticsFFT

In practice, materials science information must be evaluated and compared in a statistical manner. Traditional materials science practice involves pre-processing steps that identify material features; from there statistics of the features are extracted. Examples of feature statistics are orientition distribution functions, volume fraction, variance; the statistics are feature identifiers in materials science.

Spatial statistics provide a powerful objective statistical quantifier for materials science information. Spatial statistics have effective statistical measures embedded in them such as volume fraction and specific surface area.

Getting Started

  • Clone this Repository

  • Compute Spatial Statistics from a URL -

    url = 'https://farm3.staticflickr.com/2397/12972389405_223298503d_z.jpg';
    [F,xx] = SpatialStatsFFT(url);

    You will recieve an alert that the raw image has been stored in your Matlab workspace.

Other Images

Main Functions

  • SpatialStatsFFT - Compute the Spatial Statistics using Fast Fourier Transform algorithms for speak.
  • PairCorrelationFFT - Compute the Pair Correlation by computing the vector-resolved Spatial Statistics and integrating over angle.
  • FindPeaksSSFFT - Find the peaks (or valleys) in the vector-resolved Spatial Statistics
  • PlotSlice - A requested visualization tool to plot individual slices in volumetric spatial statistics.

Usage

Automated code documentation can be found here.

Applications

Spatial statistics have shown diverse applications in

Principal Analysis Matlab Code

I suggest using Mark Tygert's randomized Principal Component Analysis function that can be downloaded from http://cims.nyu.edu/~tygert/pca.m .

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A matlab function to compute Pair and Vector Resolved Spatial Statistics on Materials Science information.

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