Diameter bound for a geometric object — fm

Find an upper bound to the convex hull of a point set or function space

Usage

fm_diameter(x, ...)

# S3 method for class 'matrix'
fm_diameter(x, manifold = NULL, ...)

# S3 method for class 'sf'
fm_diameter(x, ...)

# S3 method for class 'sfg'
fm_diameter(x, ...)

# S3 method for class 'sfc'
fm_diameter(x, ...)

# S3 method for class 'fm_lattice_2d'
fm_diameter(x, ...)

# S3 method for class 'fm_mesh_1d'
fm_diameter(x, ...)

# S3 method for class 'fm_mesh_2d'
fm_diameter(x, ...)

# S3 method for class 'fm_segm'
fm_diameter(x, ...)

# S3 method for class 'fm_mesh_3d'
fm_diameter(x, ...)

# S3 method for class 'fm_tensor'
fm_diameter(x, ...)

# S3 method for class 'fm_collect'
fm_diameter(x, ...)

Arguments

x: A point set as an \(n\times d\) matrix, or an fm_mesh_2d/1d/sf related object.
...: Additional parameters passed on to the submethods.
manifold: Character string specifying the manifold type. Default for matrix input is to treat the point set with Euclidean \(\mathbb{R}^d\) metrics. Use manifold="S2" for great circle distances on a sphere centred at the origin.

Value

A scalar, upper bound for the diameter of the convex hull of the point set. For multi-domain spaces (e.g. fm_tensor() and fm_collect()), a vector of upper bounds for each domain is returned.

Author

Finn Lindgren Finn.Lindgren@gmail.com

Examples


fm_diameter(matrix(c(0, 1, 1, 0, 0, 0, 1, 1), 4, 2))
#> [1] 1.414214