unfoldr: Stereological Unfolding for Spheroidal Particles
Version 0.6

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 vertical 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, spherocylinders or spheres as grains together with functions for planar sections. For the purpose of exact simulation a bivariate size-shape distribution is implemented.

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AuthorMarkus Baaske [aut, cre], Felix Ballani [ctb]
Date of publication2016-10-06 19:33:23
MaintainerMarkus Baaske <markus.baaske@math.tu-freiberg.de>
LicenseGPL-2
Version0.6
Package repositoryView on CRAN
InstallationInstall the latest version of this package by entering the following in R:
install.packages("unfoldr")

Man pages

binning1d: Binning numeric values
binning3d: Histogram data
coefficientMatrixSpheres: Calculate coefficients (spheres)
coefficientMatrixSpheroids: Calculate coefficients (spheroids)
cylinders3d: Plot fibre system
drawSpheroidIntersection: Plot Spheroid intersection
em.saltykov: Expectation Maximization algorithm
em.spheroids: Trivariate stereological unfolding
getMaxRadius: Maximum radius of exact simulated spheroids
getSphereSystem: Get sphere system
getSpheroidSystem: Get spheroid system
parameterEstimates: Estimated spatial histogram data
parameters3d: Original parameters
planarSection: Sphere planar section
sectionProfiles: Constuctor section profiles
setbreaks: Break vectors
setupSphereSystem: Setup sphere system
setupSpheroidSystem: Setup spheroid system
simCylinderSystem: Simulation of cylinder system
simModel3d: Simulate spheroid system
simSphereSystem: Simulation of sphere system
simSpheroidSystem: Simulation of spheroid system
spheroids3d: Plot particle system
trivarHist: Trivariate histogram
unfold: Stereological unfolding
updateIntersections: Updated spheroid intersections
verticalSection: Spheroid vertical section

Functions

binning1d Man page Source code
binning3d Man page Source code
coefficientMatrixSpheres Man page Source code
coefficientMatrixSpheroids Man page Source code
cylVol Source code
cylinders3d Man page Source code
drawSpheroidIntersection Man page Source code
em.saltykov Man page Source code
em.spheroids Man page Source code
getAngle Source code
getMaxRadius Man page Source code
getSphereSystem Man page Source code
getSpheroidSystem Man page Source code
parameterEstimates Man page Source code
parameters3d Man page Source code
planarSection Man page Source code
section2d Source code
sectionProfiles Man page Source code
setbreaks Man page Source code
setupSphereSystem Man page Source code
setupSpheroidSystem Man page Source code
simCylinderSystem Man page Source code
simModel3d Man page Source code
simSphereSystem Man page Source code
simSpheroidSystem Man page Source code
spheroids3d Man page Source code
trivarHist Man page Source code
unfold Man page Source code
unfold.numeric Source code
unfold.oblate Source code
unfold.prolate Source code
updateIntersections Man page Source code
verticalSection Man page Source code

Files

inst
inst/examples
inst/examples/unfold.R
inst/examples/cylinder.R
inst/examples/sphere.R
inst/examples/coeffarray.R
inst/examples/sim.R
src
src/Rheaders.h
src/directions.cpp
src/Makevars
src/Utils.h
src/unfold.cpp
src/Intersector.cpp
src/directions.h
src/unfold.h
src/SimSphere.h
src/Utils.cpp
src/Intersector.h
src/ellipt.cpp
src/SimCylinder.h
src/SimEllipsoid.h
src/GeometricPrimitives.cpp
src/Vector.h
src/SimEllipsoid.cpp
src/SimSphere.cpp
src/GeometricPrimitives.h
src/SimCylinder.cpp
NAMESPACE
R
R/cylinder.R
R/sphere.R
R/spheroid.R
R/unfolding.R
MD5
DESCRIPTION
man
man/cylinders3d.Rd
man/trivarHist.Rd
man/planarSection.Rd
man/setbreaks.Rd
man/getSphereSystem.Rd
man/binning3d.Rd
man/coefficientMatrixSpheres.Rd
man/parameters3d.Rd
man/parameterEstimates.Rd
man/updateIntersections.Rd
man/unfold.Rd
man/spheroids3d.Rd
man/simModel3d.Rd
man/getMaxRadius.Rd
man/simCylinderSystem.Rd
man/binning1d.Rd
man/verticalSection.Rd
man/coefficientMatrixSpheroids.Rd
man/setupSphereSystem.Rd
man/simSpheroidSystem.Rd
man/em.spheroids.Rd
man/drawSpheroidIntersection.Rd
man/getSpheroidSystem.Rd
man/sectionProfiles.Rd
man/simSphereSystem.Rd
man/em.saltykov.Rd
man/setupSpheroidSystem.Rd
unfoldr documentation built on May 19, 2017, 11:43 p.m.