polygon.network-class

polygon.network

Polygon networks are subgraphs made of polygons
(i) sharing topographic features and
(ii) in contact with the rest of the subgraph by at least 1 polygon edge.
Objects of S4 class <code>polygon.network</code> are typically made using the function
<code>poly.network</code>

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

polygon.network-class function

<dl>
<dt><code>membership</code></dt>
<dd>a vector of numeric values specifying, for each triangle, the
index number of the patch to which the triangle is assigned</dd></dl>
<dt><code>faces</code></dt>
<dd>a vector of numeric values indicating the mesh triangle indexes</dd>

Slots

S4 class for polygon networks — polygon.network-class

<dl>
<dt><code>membership</code></dt>
<dd>a vector of numeric values specifying, for each triangle, the
index number of the patch to which the triangle is assigned</dd>


<dt><code>faces</code></dt>
<dd>a vector of numeric values indicating the mesh triangle indexes</dd>


</dl>

polygon.network-class: S4 class for polygon networks

Description

Arguments

Slots