# mesh3d

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##### 3D Mesh objects

3D triangle and quadrangle mesh object creation and a collection of sample objects.

Keywords
dynamic
##### Usage
qmesh3d(vertices, indices, homogeneous = TRUE, material = NULL,
normals = NULL, texcoords = NULL,
meshColor = c("vertices", "edges", "faces", "legacy"))
tmesh3d(vertices, indices, homogeneous = TRUE, material = NULL,
normals = NULL, texcoords = NULL,
meshColor = c("vertices", "edges", "faces", "legacy"))

cube3d(trans = identityMatrix(), ...)
tetrahedron3d(trans = identityMatrix(), ...)
octahedron3d(trans = identityMatrix(), ...)
icosahedron3d(trans = identityMatrix(), ...)
dodecahedron3d(trans = identityMatrix(), ...)
cuboctahedron3d(trans = identityMatrix(), ...)

oh3d(trans = identityMatrix(), ...)    # an 'o' object

dot3d(x, ...)   # draw dots at the vertices of an object
# S3 method for mesh3d
dot3d(x, override = TRUE,
meshColor = c("vertices", "edges", "faces", "legacy"),...)
wire3d(x, ...)  # draw a wireframe object
# S3 method for mesh3d
wire3d(x, override = TRUE,
meshColor = c("vertices", "edges", "faces", "legacy"), ...)
# S3 method for mesh3d
meshColor = c("vertices", "faces", "legacy"), ...)
##### Arguments
x

a mesh3d object (class qmesh3d or tmesh3d).

vertices

3- or 4-component vector of coordinates

indices

4-component vector of vertex indices

homogeneous

logical indicating if homogeneous (four component) coordinates are used.

material

material properties for later rendering

normals

normals at each vertex

texcoords

texture coordinates at each vertex

trans

transformation to apply to objects; see below for defaults

...

override

should the parameters specified here override those stored in the object?

meshColor

how should colours be interpreted? See details below

##### Details

These functions create and work with mesh3d objects, which consist of a matrix of vertex coordinates together with a matrix of indices indicating which vertex is part of which face. Such objects may have triangular faces, planar quadrilateral faces, or both.

The sample objects optionally take a matrix transformation trans as an argument. This transformation is applied to all vertices of the default shape. The default is an identity transformation.

The "shape3d" class is a general class for shapes that can be plotted by dot3d, wire3d or shade3d.

The "mesh3d" class is a class of objects that form meshes: the vertices are in member vb, as a 3 or 4 by n matrix. Meshes with triangular faces will contain it, a 3 * n matrix giving the indices of the vertices in each face. Quad meshes will have vertex indices in ib, a 4 * n matrix. Individual meshes may have both types of faces.

The meshColor argument controls how material colours are interpreted. This parameter was added in rgl version 0.100.1 (0.100.27 for dot3d, tmesh3d and qmesh3d). Possible values are:

"vertices"

Colours are applied by vertex, in the order they appear in the vb matrix.

"edges"

Colours are applied to each edge: first to the 3 edges of each triangle in the it matrix, then the 4 edges of each quad in the ib matrix.

"faces"

Colours are applied to each face: first to the triangles in the it matrix, then to the quads in the ib matrix.

"legacy"

Colours are applied in the same way as in rgl versions earlier than 0.100.1.

Unique partial matches of these values will be recognized.

If colours are specified but meshColor is not and options(rgl.meshColorWarning = TRUE), a warning will be given that their interpretation may have changed. In versions 0.100.1 to 0.100.26 of rgl, the default was to give the warning; now the default is for no warning.

Note that the shade3d function doesn't support meshColor = "edges", and dot3d and wire3d function may draw items more than once (dot3d for other than meshColor = "vertices", wire3d for meshColor = "faces"). Which copy is visible depends on the order of drawing and the material3d("depth_test") setting.

##### Value

qmesh3d, cube3d, oh3d, tmesh3d, tetrahedron3d, octahedron3d, icosahedron3d and dodecahedron3d return objects of class c("mesh3d", "shape3d"). The first three of these are quad meshes, the rest are triangle meshes.

dot3d, wire3d, and shade3d are called for their side effect of drawing an object into the scene; they return an object ID (or vector of IDs, for some classes) invisibly.

See rgl.primitive for a discussion of texture coordinates.

r3d, par3d, shapelist3d for multiple shapes

##### Aliases
• shape3d
• mesh3d
• qmesh3d
• tmesh3d
• dot3d
• dot3d.qmesh3d
• dot3d.mesh3d
• wire3d
• wire3d.qmesh3d
• wire3d.mesh3d
• cube3d
• oh3d
• tetrahedron3d
• octahedron3d
• icosahedron3d
• dodecahedron3d
• cuboctahedron3d
##### Examples
# NOT RUN {
# generate a quad mesh object

vertices <- c(
-1.0, -1.0, 0, 1.0,
1.0, -1.0, 0, 1.0,
1.0,  1.0, 0, 1.0,
-1.0,  1.0, 0, 1.0
)
indices <- c( 1, 2, 3, 4 )

open3d()
wire3d( qmesh3d(vertices, indices) )

# render 4 meshes vertically in the current view

open3d()
bg3d("gray")
l0 <- oh3d(tran = par3d("userMatrix"), color = "green" )
shade3d( translate3d( l0, -6, 0, 0 ))
l1 <- subdivision3d( l0 )
shade3d( translate3d( l1 , -2, 0, 0 ), color = "red", override = FALSE )
l2 <- subdivision3d( l1 )
shade3d( translate3d( l2 , 2, 0, 0 ), color = "red", override = TRUE )
l3 <- subdivision3d( l2 )
shade3d( translate3d( l3 , 6, 0, 0 ), color = "red" )

# render all of the Platonic solids
open3d()
shade3d( translate3d( tetrahedron3d(col = "red"), 0, 0, 0) )
shade3d( translate3d( cube3d(col = "green"), 3, 0, 0) )
shade3d( translate3d( octahedron3d(col = "blue"), 6, 0, 0) )
shade3d( translate3d( dodecahedron3d(col = "cyan"), 9, 0, 0) )
shade3d( translate3d( icosahedron3d(col = "magenta"), 12, 0, 0) )
# }

Documentation reproduced from package rgl, version 0.100.50, License: GPL

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