Paquete para graficación 3D.
library(plot3D)
Coordenadas de un objeto en 3D
# Casa en 3D
casa_3D <- matrix(c(2, 4, 0,
2, 0, 0,
0, 0, 0,
0, 4, 0,
2, 4, 2,
2, 0, 2,
0, 0, 2,
0, 4, 2,
1, 0, 3.5,
1, 4, 3.5,
0.5, 0, 0.5,
1.5, 0, 0.5,
0.5, 0, 0,
1.5, 0, 0,
2, 1, 1,
2, 1, 1.5,
2, 2, 1,
2, 2, 1.5), 18, 3, byrow = TRUE)
# Asigna letras a cada punto.
dimnames(casa_3D) <- list(LETTERS[1:nrow(casa_3D)], c("x", "y", "z"))
Gráfica en 2D del objeto original (plano x, y).
plot(casa_3D[, c(1, 2)], pch = 19, asp = 1)
![](data:image/png;base64,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)
plot(casa_3D[, c(2, 3)], pch = 19, asp = 1)
![](data:image/png;base64,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)
plot(casa_3D[, c(1, 3)], pch = 19, asp = 1)
![](data:image/png;base64,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)
Gráfica en 3D del objeto original.
scatter3D(casa_3D[, 1], casa_3D[, 2], casa_3D[, 3], pch = 19, asp = 1)
![](data:image/png;base64,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)
centroide <- colMeans(casa_3D)
casa_3D_centrada <- t(t(casa_3D) - centroide)
casa_3D_centrada
## x y z
## A 0.7777778 2.5555556 -1.1666667
## B 0.7777778 -1.4444444 -1.1666667
## C -1.2222222 -1.4444444 -1.1666667
## D -1.2222222 2.5555556 -1.1666667
## E 0.7777778 2.5555556 0.8333333
## F 0.7777778 -1.4444444 0.8333333
## G -1.2222222 -1.4444444 0.8333333
## H -1.2222222 2.5555556 0.8333333
## I -0.2222222 -1.4444444 2.3333333
## J -0.2222222 2.5555556 2.3333333
## K -0.7222222 -1.4444444 -0.6666667
## L 0.2777778 -1.4444444 -0.6666667
## M -0.7222222 -1.4444444 -1.1666667
## N 0.2777778 -1.4444444 -1.1666667
## O 0.7777778 -0.4444444 -0.1666667
## P 0.7777778 -0.4444444 0.3333333
## Q 0.7777778 0.5555556 -0.1666667
## R 0.7777778 0.5555556 0.3333333
Gráfica en 3D del objeto original centrado.
scatter3D(casa_3D_centrada[,1],
casa_3D_centrada[, 2],
casa_3D_centrada[, 3],
pch = 19,
asp = 1)
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)
Adición de los ejes de coordenadas.
ejes <- matrix(c(-1.5, 0, 0, 1.5, 0, 0,
0, -1.5, 0, 0, 1.5, 0,
0, 0, -1.5, 0, 0, 1.5),
byrow = TRUE,
3, 6)
border3D(-2.6, -2.6, -2.6, 2.6, 2.6, 2.6,
theta = 5,
phi = 20,
r = 10)
scatter3D(casa_3D_centrada[,1],
casa_3D_centrada[, 2],
casa_3D_centrada[, 3],
pch = 19,
asp = 1,
add = TRUE)
segments3D(ejes[ ,1], ejes[ ,2], ejes[ ,3],
ejes[ ,4], ejes[ ,5], ejes[ ,6],
add = TRUE,
col = "red")
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)
nuevas_coord <- matrix(c(1, 1, 1,
-1, 2, 1,
1, 2, 3),
3, 3,
byrow = TRUE,)
## Verificación si los vectores son linealmente independientes
det(nuevas_coord)
## [1] 4
## Proceso de Gram-Schmidt para generar una base ortogonal
## a partir de vectores linealmente independientes.
v1 <- nuevas_coord[1, ]
v2 <- nuevas_coord[2, ]
v3 <- nuevas_coord[3, ]
w1 <- v1
w2 <- v2 - as.numeric((v2%*%w1)/(w1%*%w1)) * w1
w3 <- v3 - as.numeric((v3%*%w1)/(w1%*%w1)) * w1 - as.numeric((v3%*%w2)/(w2%*%w2)) * w2
base_ortogonal <- rbind(w1, w2, w3)
base_ortogonal
## [,1] [,2] [,3]
## w1 1.0000000 1.0000000 1.0000000
## w2 -1.6666667 1.3333333 0.3333333
## w3 -0.2857143 -0.5714286 0.8571429
scatter3D(base_ortogonal[1, ],
base_ortogonal[2, ],
base_ortogonal[3, ],
asp = 1,
pch = 19)
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)
segmentos <- matrix(c(-1.5, 0, 0, 1.5, 0, 0,
0, -1.5, 0, 0, 1.5, 0,
0, 0, -1.5, 0, 0, 1.5),
byrow = TRUE,
3, 6)
border3D(-1.5, -1.5, -1.5, 1.5, 1.5, 1.5, col = "darkgreen", r = 10,
theta = 40, phi = 10)
arrows3D(c(0, 0, 0), c(0, 0, 0), c(0, 0, 0),
base_ortogonal[1, ], base_ortogonal[2, ], base_ortogonal[3, ],
add = TRUE)
segments3D(segmentos[ ,1], segmentos[ ,2], segmentos[ ,3],
segmentos[ ,4], segmentos[ ,5], segmentos[ ,6],
add = TRUE,
col = "red")
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)
var(casa_3D)
## x y z
## x 0.71241830 0.0130719 0.01960784
## y 0.01307190 3.0849673 0.42156863
## z 0.01960784 0.4215686 1.35294118
var(casa_3D_centrada)
## x y z
## x 0.71241830 0.0130719 0.01960784
## y 0.01307190 3.0849673 0.42156863
## z 0.01960784 0.4215686 1.35294118
val_vec_prop <- eigen(var(casa_3D_centrada))
val_vec_prop
## eigen() decomposition
## $values
## [1] 3.1822444 1.2562638 0.7118186
##
## $vectors
## [,1] [,2] [,3]
## [1,] -0.006940592 0.02971358 9.995344e-01
## [2,] -0.974418891 -0.22473944 -8.526996e-05
## [3,] -0.224632262 0.97396575 -3.051330e-02
Valores propios
val_vec_prop$values
## [1] 3.1822444 1.2562638 0.7118186
Vectores propios
val_vec_prop$vectors
## [,1] [,2] [,3]
## [1,] -0.006940592 0.02971358 9.995344e-01
## [2,] -0.974418891 -0.22473944 -8.526996e-05
## [3,] -0.224632262 0.97396575 -3.051330e-02
Operaciones con matrices y vectores (“tips”)
Definción de un vector.
v1 <- c(3, 4, 2, 6)
v1
## [1] 3 4 2 6
Definición de matrices.
m1 <- matrix(c(3, 1, 0, 2,
0, -1, 2, 0),
nrow = 4,
ncol = 2)
m1
## [,1] [,2]
## [1,] 3 0
## [2,] 1 -1
## [3,] 0 2
## [4,] 2 0
m2 <- matrix(c(3, 1, 0, 2,
0, -1, 2, 0),
nrow = 4,
ncol = 2,
byrow = TRUE)
m2
## [,1] [,2]
## [1,] 3 1
## [2,] 0 2
## [3,] 0 -1
## [4,] 2 0
Transpuesta de una matriz.
t(m1)
## [,1] [,2] [,3] [,4]
## [1,] 3 1 0 2
## [2,] 0 -1 2 0
División de matrices por un vector.
m1/v1
## [,1] [,2]
## [1,] 1.0000000 0.00
## [2,] 0.2500000 -0.25
## [3,] 0.0000000 1.00
## [4,] 0.3333333 0.00
t(m1)/v1
## [,1] [,2] [,3] [,4]
## [1,] 1 0.5000000 0.0 1
## [2,] 0 -0.1666667 0.5 0
t(t(m1)/v1)
## [,1] [,2]
## [1,] 1.0 0.0000000
## [2,] 0.5 -0.1666667
## [3,] 0.0 0.5000000
## [4,] 1.0 0.0000000
t(m1)%*%v1
## [,1]
## [1,] 25
## [2,] 0