https://github.com/tonyfast/spatialstatisticsfft

A matlab function to compute Pair and Vector Resolved Spatial Statistics on Materials Science information.
https://github.com/tonyfast/spatialstatisticsfft

Last synced: 11 days ago
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A matlab function to compute Pair and Vector Resolved Spatial Statistics on Materials Science information.

• Host: GitHub
• URL: https://github.com/tonyfast/spatialstatisticsfft
• Owner: tonyfast
• Created: 2013-12-18T15:26:05.000Z (almost 11 years ago)
• Default Branch: master
• Last Pushed: 2014-12-23T22:49:19.000Z (almost 10 years ago)
• Last Synced: 2024-10-11T19:25:22.456Z (about 1 month ago)
• Language: Matlab
• Homepage: tonyfast.com/SpatialStatisticsFFT/
• Size: 2.89 MB
• Stars: 7
• Watchers: 6
• Forks: 10
• Open Issues: 8
• Metadata Files:
  • Readme: README.md

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README

        
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](http://www.sciencedirect.com/science/article/pii/S1359645407007458) and [specific surface area](http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.49.1716).  

Getting Started

===============

* Clone this Repository

* __Compute Spatial Statistics from a URL__ - 

  ```Matlab

  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

============

* https://farm3.staticflickr.com/2689/12972815434_734b24ef1d_z.jpg

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](http://tonyfast.com/SpatialStatisticsFFT/2014/05/16/Spatial-Statistics-documentation.html).

Applications

============

Spatial statistics have shown diverse applications in

* [Metallic feature identification](http://www.sciencedirect.com/science/article/pii/S1359645411004654)

* [Homogenization relations in fuel cells](http://scholar.google.com/citations?view_op=view_citation&hl=en&user=OWGKu6wAAAAJ&citation_for_view=OWGKu6wAAAAJ:zYLM7Y9cAGgC)

* [Electronic potential identification in Molecular Dynamics](http://tonyfast.com/Atomic-Positions/2014/05/15/Feature-Identifaction-in-Molecular-Dynamics-Potential-Comparisons.html)

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 .