fm_diameter: Diameter bound for a geometric object

In fmesher: Triangle Meshes and Related Geometry Tools

Diameter bound for a geometric object

Description

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, ..., multi = FALSE)

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

## S3 method for class 'fm_list'
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.
multi	logical; For multi-domain spaces (e.g. fm_tensor and fm_collect), if TRUE, return a vector of diameter bounds for each domain. If FALSE (the default), return a single diameter bound, by taking the maximum of the individual bounds.

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.

Methods (by class)

• fm_diameter(fm_tensor): Returns either a single diameter bound (default), or a vector of sub-domain bounds; see the multi argument.

• fm_diameter(fm_collect): Returns either a single diameter bound (default), or a vector of sub-domain bounds; see the multi argument.

Author(s)

Finn Lindgren [e-mail]

Examples

fm_diameter(matrix(c(0, 1, 1, 0, 0, 0, 1, 1), 4, 2))

fmesher documentation built on June 24, 2026, 1:06 a.m.