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unfoldr (version 0.2)

Stereological Unfolding for Spheroidal Particles

Description

Stereological unfolding as implemented in this package consists in the estimation of the joint size-shape-orientation distribution of spheroidal shaped particles based on the same measured quantities of corresponding planar section profiles. A single trivariate discretized version of the (stereological) integral equation in the case of prolate and oblate spheroids is solved numerically by the EM algorithm. The estimation of diameter distribution of spheres from planar sections (Wicksell's corpuscle problem) is also implemented. Further, the package provides routines for the simulation of a Poisson germ-grain process with either spheroids or spheres as grains together with functions for planar sections.

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Version

Install

install.packages('unfoldr')

Monthly Downloads

17

Version

0.2

License

GPL-2

Maintainer

Markus Baaske

Last Published

July 3rd, 2015

Functions in unfoldr (0.2)

binning1d

Binning numeric values
setupSphereSystem

Setup sphere system
coefficientMatrixSpheroids

Calculate coefficients (spheroids)
em.saltykov

Expectation Maximization algorithm
setbreaks

Break vectors
em.spheroids

Trivariate stereological unfolding
simSpheroidSystem

Simulation of spheroid system
planarSection

Sphere planar section
spheroids

A packed spheroids configuration
getSpheroidSystem

Get spheroid system
verticalSection

Spheroid vertical section
binning3d

Histogram data
coefficientMatrixSpheres

Calculate coefficients (spheres)
parameters3d

Original parameters
getAngle

Map angle
sectionProfiles

Constuctor section profiles
simSphereSystem

Simulation of sphere system
parameterEstimates

Estimated spatial histogram data
getSphereSystem

Get sphere system
unfold

Stereological unfolding
trivarHist

Trivariate histogram
setupSpheroidSystem

Setup spheroid system