rrate

Compute the relief rate from a sub-sample of a 3d triangle mesh.
For instance, the relief rate could be computed from the portion of a molar above
the lowermost point of its central basin, compared to the whole tooth.

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

rrate function

<dl><dt>uncropped</dt>
<dd>object of class mesh3d. Should entirely contain the 'cropped' argument.</dd>
<dt>cropped</dt>
<dd>object of class mesh3d. Should be part of the 'uncropped' argument.</dd>
<dt>origin</dt>
<dd>logical, if TRUE both cropped and uncropped mesh are translated along the z-axis
so that the lowest z of the uncropped mesh = 0; see <code>dkorigin</code></dd></dl>

Arguments

relief rate — rrate

<dl>

<dt>uncropped</dt>
<dd>object of class mesh3d. Should entirely contain the 'cropped' argument.</dd>


<dt>cropped</dt>
<dd>object of class mesh3d. Should be part of the 'uncropped' argument.</dd>


<dt>origin</dt>
<dd>logical, if TRUE both cropped and uncropped mesh are translated along the z-axis
so that the lowest z of the uncropped mesh = 0; see <code>dkorigin</code></dd>

</dl>

rrate: relief rate

Description

Usage

Value

Arguments

References

Examples