unfoldr: Stereological Unfolding for Spheroidal Particles

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.

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

View on CRAN

Functions

binning1d Man page
binning3d Man page
coefficientMatrixSpheres Man page
coefficientMatrixSpheroids Man page
cylinders3d Man page
drawSpheroidIntersection Man page
em.saltykov Man page
em.spheroids Man page
getMaxRadius Man page
getSphereSystem Man page
getSpheroidSystem Man page
parameterEstimates Man page
parameters3d Man page
planarSection Man page
sectionProfiles Man page
setbreaks Man page
setupSphereSystem Man page
setupSpheroidSystem Man page
simCylinderSystem Man page
simModel3d Man page
simSphereSystem Man page
simSpheroidSystem Man page
spheroids3d Man page
trivarHist Man page
unfold Man page
updateIntersections Man page
verticalSection Man page

Files

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

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