Compute the relief index of a 3d triangle mesh.

Tools for exploring the topography of 3d triangle meshes.
The functions were developed with dental surfaces in mind, but could be
applied to any triangle mesh of class 'mesh3d'. More specifically, 'doolkit'
allows to isolate the border of a mesh, or a subpart of the mesh using the
polygon networks method; crop a mesh; compute basic descriptors (elevation,
orientation, footprint area); compute slope, angularity and relief index
(Ungar and Williamson (2000) <https://palaeo-electronica.org/2000_1/gorilla/issue1_00.htm>;
Boyer (2008) <doi:10.1016/j.jhevol.2008.08.002>), inclination and occlusal
relief index or gamma (Guy et al. (2013) <doi:10.1371/journal.pone.0066142>),
OPC (Evans et al. (2007) <doi:10.1038/nature05433>), OPCR (Wilson et al.
(2012) <doi:10.1038/nature10880>), DNE (Bunn et al. (2011) <doi:10.1002/ajpa.21489>;
Pampush et al. (2016) <doi:10.1007/s10914-016-9326-0>), form factor (Horton
(1932) <doi:10.1029/TR013i001p00350>), basin elongation (Schum (1956)
<doi:10.1130/0016-7606(1956)67[597:EODSAS]2.0.CO;2>), lemniscate ratio
(Chorley et al; (1957) <doi:10.2475/ajs.255.2.138>), enamel-dentine distance
(Guy et al. (2015) <doi:10.1371/journal.pone.0138802>; Thiery et al. (2017)
<doi:10.3389/fphys.2017.00524>), absolute crown strength (Schwartz et al.
(2020) <doi:10.1098/rsbl.2019.0671>), relief rate (Thiery et al. (2019)
<doi:10.1002/ajpa.23916>) and area-relative curvature; draw cumulative
profiles of a topographic variable; and map a variable over a 3d triangle
mesh.

Ghislain Thiery

doolkit

Exploration of Dental Surface Topography

Franck Guy

Vincent Lazzari

rfi function

<dl><dt>mesh</dt>
<dd>object of class mesh3d</dd>
<dt>method</dt>
<dd>a character string indicating which method is to be used for the computation of
relief index</dd>
<dt>hull</dt>
<dd>the method used to compute the hull of the 2d projection, either 'convex' or 'concave'.
The default method is 'convex'. See <code>area2d</code></dd></dl>

Arguments

relief index — rfi

<dl>

<dt>mesh</dt>
<dd>object of class mesh3d</dd>


<dt>method</dt>
<dd>a character string indicating which method is to be used for the computation of
relief index</dd>


<dt>hull</dt>
<dd>the method used to compute the hull of the 2d projection, either 'convex' or 'concave'.
The default method is 'convex'. See <code>area2d</code></dd>

</dl>

rfi: relief index

Description

Usage

Value

Arguments

Details

References

See Also

Examples