Description Usage Arguments Details Value Author(s) Examples

Compute vertical section profiles of a spheroid system

1 | ```
verticalSection(S, d, n = c(0, 1, 0), intern = FALSE)
``` |

`S` |
list of spheroids, see |

`d` |
distance of the intersecting plane from the origin of the box |

`n` |
normal vector which defines the interecting vertical plane |

`intern` |
logical, |

The function intersects a spheroid system by a plane defined by the normal vector `n`

either
equal to `c(0,1,0)`

(default) or `c(1,0,0)`

, which is called a vertical section. Depending on
the type of spheroid (either "`prolate`

or "`oblate`

") the returned semi-axis lengths are those
corresponding to the minor semi-axis or, respectively, major semi-axis in the way these are required for unfolding.

list of sizes `A`

, shape factors `S`

and (vertical) angles `alpha`

of section profiles in the plane w.r.t the 'z' axis between *[0,π/2]*.

M. Baaske

1 2 3 4 5 6 7 8 9 10 11 12 13 | ```
box <- list("xrange"=c(0,5),"yrange"=c(0,5),"zrange"=c(0,5))
# (exact) bivariate size-shape (isotropic) orientation distribution (spheroids)
theta <- list("size"=list("mx"=-2.5,"my"=0.5, "sdx"=0.35,"sdy"=0.25,"rho"=0.15),
"orientation"=list("kappa"=1))
S <- simPoissonSystem(theta,lam=100,size="rbinorm",box=box,
type="prolate",perfect=TRUE,pl=1)
sp <- verticalSection(S,d=2.5,n=c(0,1,0),intern=TRUE)
summary(sp$alpha)
``` |

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