Morpho (version 2.12)

points2plane: projects a 3D coordinate orthogonally onto a plane

Description

projects a 3D coordinate orthogonally onto a plane

Usage

points2plane(x, v1, normal = NULL, v2 = NULL, v3 = NULL)

Value

projected point

Arguments

x

3D-vector or a k x 3 matrix with 3D vectors stored in rows

v1

point on plane

normal

plane normal (overrides specification by v2 and v3)

v2

if pNorm=NULL, the plane will be defined by three points v1, v2, v3

v3

if pNorm=NULL, the plane will be defined by three points v1, v2, v3

Examples

data(boneData)
##project rhinion onto plane spanned by Nasion and both Nariales
rpro <- points2plane(boneLM[10,,1],v1=boneLM[9,,1],v2=boneLM[3,,1],v3=boneLM[4,,1])

if (FALSE) {
require(rgl)
#visualize
wire3d(skull_0144_ch_fe.mesh,col="white")
##get plane normal
normal <- crossProduct(boneLM[3,,1]-boneLM[9,,1],boneLM[4,,1]-boneLM[9,,1])
#' ## get plane offset
d <- norm(points2plane(c(0,0,0),v1=boneLM[9,,1],normal=normal),"2")
spheres3d(boneLM[,,1],radius=0.5)
spheres3d(boneLM[c(3,4,9),,1],radius=0.6,col=3)
##original position of Rhinion
spheres3d(boneLM[10,,1],radius=0.6,col=2)
##projected onto plane
spheres3d(rpro,radius=0.9,col=6)
lines3d(rbind(rpro,boneLM[10,,1]),lwd=3)
##plot plane
planes3d(normal[1],normal[2],normal[3],d=d,col=2,alpha=0.5)

##now we project all points onto that plane:
spheres3d(points2plane(boneLM[,,1],v1=boneLM[9,,1],v2=boneLM[3,,1],v3=boneLM[4,,1]),col=3)

## and finally project the vertices of the mesh onto the plane
meshpro <- points2plane(vert2points(skull_0144_ch_fe.mesh),v1=boneLM[9,,1],normal=normal)
points3d(meshpro,col=2)
}