support {polarzonoid} | R Documentation |
The Support Function for the Polar Zonoid in \mathbb{R}^{2n+1}
Description
This section calculates the classical support function for convex bodies, for the specific case of the polar zonoid.
Usage
support( direction )
Arguments
direction |
an |
Details
Each direction is converted to a non-zero trignometric polynomial.
The roots are computed using trigpolyroot()
and the the roots
are converted to arcs, and thus arcs
.
The function boundaryfromarcs()
is then used to compute
argmax
, and then value
.
Value
support()
returns a data frame with R
rows and these columns:
direction |
the given matrix of directions |
value |
the value of the support function of the zonoid, in the given direction |
argmax |
the point on the boundary of the zonoid where the maximum is taken |
arcs |
the number of arcs for |
In case of error, the function returns NULL
.
See Also
boundaryfromarcs()
,
trigpolyroot()