slope

Compute slope i.e. the angle between triangles and the horizontal plane in degrees, comprised
between 0 and 90.

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

slope function

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

Arguments

slope — slope

<dl>

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

</dl>

slope: slope

Description

Usage

Value

Arguments

References

See Also

Examples