R rgl 3d 对数比例图和天线模式图
R rgl 3d log scale plot and Antenna pattern plots
首先，在我分享我的问题之前，我想分享一些可能对外面的一些人有帮助的代码。我一直在寻找相当多的时间代码来绘制 3d 天线测量图，但我找不到这样做的代码。问题在于天线测量具有极坐标，而典型的 3d 绘图函数使用笛卡尔坐标。所以我下面的代码就是这样做的（我不是高级程序员所以我相信有人可以优化它以供使用）。代码可以直接 运行 并且我添加了注释以使其更易于阅读。
require("rgl")
require("fields")
degreeToRadian<-function(degree){
return (0.01745329252*degree)
}
turnPolarToX<-function(Amplitude,Coordinate){
return (Amplitude*cos(degreeToRadian(Coordinate)))
}
turnPolarToY<-function(Amplitude,Coordinate){
return (Amplitude*sin(degreeToRadian(Coordinate)))
}
# inputs for the code
test<-runif(359,min=-50,max=-20) # the 359 elements correspond to the polar coordinates of 1 to 359
test2<-runif(359,min=-50,max=-20) # the 359 elements correspond to the polar coordinates of 1 to 359
test3<-runif(359,min=-50,max=-20) # the 359 elements correspond to the polar coordinates of 1 to 359
# My three input vectors above are considered to be dBm values, typically unit for antenna or propagation measurements
# I want to plot those on three different 3d planes the XY, the YZ and the ZX. Since the rgl does not support
# polar coordinates I need to cast my polar coordinates to cartesian ones, using the three functions
# defined at the beginning. I also need to change my dBm values to their linear relative ones that are the mW
# Convert my dBm to linear ones
test<-10^(test/10)
test2<-10^(test2/10)
test3<-10^(test3/10)
# Start preparing the data to be plotted in cartesian domain
X1<-turnPolarToX(test,1:359)
Y1<-turnPolarToY(test,1:359)
Z1<-rep(0,359)
X2<-turnPolarToX(test2,1:359)
Y2<-rep(0,359)
Z2<-turnPolarToY(test2,1:359)
X3<-rep(0,359)
Y3<-turnPolarToX(test3,1:359)
Z3<-turnPolarToY(test3,1:359)
# Time for the plotting now
Min<-min(test,test2,test3)
Max<-max(test,test2,test3)
bgplot3d( suppressWarnings (
image.plot( legend.only=TRUE, legend.args=list(text='dBm/100kHz'), zlim=c(Min,Max),col=plotrix::color.scale(seq(Min,Max,length.out=21),c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)))
) # zlim is the colorbar numbers
)
# for below alternatively you can also use the lines3d to get values
points3d(X1,Y1,Z1,col=plotrix::color.scale(test,c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)),add=TRUE)
points3d(X2,Y2,Z2,col=plotrix::color.scale(test2,c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)),add=TRUE)
points3d(X3,Y3,Z3,col=plotrix::color.scale(test3,c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)),add=TRUE)
我现在遇到的问题是我理想的绘图我想在 rgl 数据包不支持的对数刻度上！如果我尝试在我的 X、Y、Z 上使用日志来压缩它们，我会得到一个错误，即日志没有为负数定义（当然这是正确的）。当不支持对数刻度绘图时，您认为如何解决压缩轴值的问题？
感谢您的回复
问候
亚历克斯
对 X、Y 和 Z 应用对数刻度没有意义。只需将其应用到原始数据，并将记录的值转换为极坐标即可。
由于您记录的测试值为负，您可能需要应用偏移量；具有负半径值的极坐标很难解释。
完成后，您可以使用 axis3d() 函数将带有任意标签的轴添加到图中。例如，如果您希望原点对应于 -50 dBm，则可以跳过到线性坐标的转换，只需添加 50。您需要在计算标签时撤消此操作。这是您的示例，已修改：
require("rgl")
require("fields")
degreeToRadian<-function(degree){
return (0.01745329252*degree)
}
turnPolarToX<-function(Amplitude,Coordinate){
return (Amplitude*cos(degreeToRadian(Coordinate)))
}
turnPolarToY<-function(Amplitude,Coordinate){
return (Amplitude*sin(degreeToRadian(Coordinate)))
}
# inputs for the code
test<-runif(359,min=-50,max=-20) # the 359 elements correspond to the polar coordinates of 1 to 359
test2<-runif(359,min=-50,max=-20) # the 359 elements correspond to the polar coordinates of 1 to 359
test3<-runif(359,min=-50,max=-20) # the 359 elements correspond to the polar coordinates of 1 to 359
# Add an offset of 50 to the values.
test <- test + 50
test2 <- test2 + 50
test3 <- test3 + 50
# Start preparing the data to be plotted in cartesian domain
X1<-turnPolarToX(test,1:359)
Y1<-turnPolarToY(test,1:359)
Z1<-rep(0,359)
X2<-turnPolarToX(test2,1:359)
Y2<-rep(0,359)
Z2<-turnPolarToY(test2,1:359)
X3<-rep(0,359)
Y3<-turnPolarToX(test3,1:359)
Z3<-turnPolarToY(test3,1:359)
# Time for the plotting now
Min<-min(test,test2,test3)
Max<-max(test,test2,test3)
bgplot3d( suppressWarnings (
image.plot( legend.only=TRUE, legend.args=list(text='dBm/100kHz'), zlim=c(Min,Max)-50,col=plotrix::color.scale(seq(Min-50,Max-50,length.out=21),c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)-50))
) # zlim is the colorbar numbers
)
# for below alternatively you can also use the lines3d to get values
points3d(X1,Y1,Z1,col=plotrix::color.scale(test,c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)),add=TRUE)
points3d(X2,Y2,Z2,col=plotrix::color.scale(test2,c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)),add=TRUE)
points3d(X3,Y3,Z3,col=plotrix::color.scale(test3,c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)),add=TRUE)
# Add axes
labels <- pretty(c(-50, -20))
axis3d("x", at = labels + 50, labels = labels, pos = c(NA, 0, 0) )
axis3d("y", at = labels + 50, labels = labels, pos = c(0, NA, 0) )
axis3d("z", at = labels + 50, labels = labels, pos = c(0, 0, NA) )
我的一个系统产生了这个显示：
您可能想要添加圆圈以显示比例如何在每个平面上继续。这段代码可以做到：
theta <- seq(0, 2*pi, len = 100)
for (i in seq_along(labels)) {
x <- (labels[i] + 50)*cos(theta)
y <- (labels[i] + 50)*sin(theta)
lines3d(x, y, 0)
lines3d(x, 0, y)
lines3d(0, x, y)
}
我觉得剧情太忙了，不过你可以自己试试看。
首先，在我分享我的问题之前，我想分享一些可能对外面的一些人有帮助的代码。我一直在寻找相当多的时间代码来绘制 3d 天线测量图，但我找不到这样做的代码。问题在于天线测量具有极坐标，而典型的 3d 绘图函数使用笛卡尔坐标。所以我下面的代码就是这样做的（我不是高级程序员所以我相信有人可以优化它以供使用）。代码可以直接 运行 并且我添加了注释以使其更易于阅读。
require("rgl")
require("fields")
degreeToRadian<-function(degree){
return (0.01745329252*degree)
}
turnPolarToX<-function(Amplitude,Coordinate){
return (Amplitude*cos(degreeToRadian(Coordinate)))
}
turnPolarToY<-function(Amplitude,Coordinate){
return (Amplitude*sin(degreeToRadian(Coordinate)))
}
# inputs for the code
test<-runif(359,min=-50,max=-20) # the 359 elements correspond to the polar coordinates of 1 to 359
test2<-runif(359,min=-50,max=-20) # the 359 elements correspond to the polar coordinates of 1 to 359
test3<-runif(359,min=-50,max=-20) # the 359 elements correspond to the polar coordinates of 1 to 359
# My three input vectors above are considered to be dBm values, typically unit for antenna or propagation measurements
# I want to plot those on three different 3d planes the XY, the YZ and the ZX. Since the rgl does not support
# polar coordinates I need to cast my polar coordinates to cartesian ones, using the three functions
# defined at the beginning. I also need to change my dBm values to their linear relative ones that are the mW
# Convert my dBm to linear ones
test<-10^(test/10)
test2<-10^(test2/10)
test3<-10^(test3/10)
# Start preparing the data to be plotted in cartesian domain
X1<-turnPolarToX(test,1:359)
Y1<-turnPolarToY(test,1:359)
Z1<-rep(0,359)
X2<-turnPolarToX(test2,1:359)
Y2<-rep(0,359)
Z2<-turnPolarToY(test2,1:359)
X3<-rep(0,359)
Y3<-turnPolarToX(test3,1:359)
Z3<-turnPolarToY(test3,1:359)
# Time for the plotting now
Min<-min(test,test2,test3)
Max<-max(test,test2,test3)
bgplot3d( suppressWarnings (
image.plot( legend.only=TRUE, legend.args=list(text='dBm/100kHz'), zlim=c(Min,Max),col=plotrix::color.scale(seq(Min,Max,length.out=21),c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)))
) # zlim is the colorbar numbers
)
# for below alternatively you can also use the lines3d to get values
points3d(X1,Y1,Z1,col=plotrix::color.scale(test,c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)),add=TRUE)
points3d(X2,Y2,Z2,col=plotrix::color.scale(test2,c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)),add=TRUE)
points3d(X3,Y3,Z3,col=plotrix::color.scale(test3,c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)),add=TRUE)
我现在遇到的问题是我理想的绘图我想在 rgl 数据包不支持的对数刻度上！如果我尝试在我的 X、Y、Z 上使用日志来压缩它们，我会得到一个错误，即日志没有为负数定义（当然这是正确的）。当不支持对数刻度绘图时，您认为如何解决压缩轴值的问题？
感谢您的回复 问候 亚历克斯
对 X、Y 和 Z 应用对数刻度没有意义。只需将其应用到原始数据，并将记录的值转换为极坐标即可。
由于您记录的测试值为负，您可能需要应用偏移量；具有负半径值的极坐标很难解释。
完成后，您可以使用 axis3d() 函数将带有任意标签的轴添加到图中。例如，如果您希望原点对应于 -50 dBm，则可以跳过到线性坐标的转换，只需添加 50。您需要在计算标签时撤消此操作。这是您的示例，已修改：
require("rgl")
require("fields")
degreeToRadian<-function(degree){
return (0.01745329252*degree)
}
turnPolarToX<-function(Amplitude,Coordinate){
return (Amplitude*cos(degreeToRadian(Coordinate)))
}
turnPolarToY<-function(Amplitude,Coordinate){
return (Amplitude*sin(degreeToRadian(Coordinate)))
}
# inputs for the code
test<-runif(359,min=-50,max=-20) # the 359 elements correspond to the polar coordinates of 1 to 359
test2<-runif(359,min=-50,max=-20) # the 359 elements correspond to the polar coordinates of 1 to 359
test3<-runif(359,min=-50,max=-20) # the 359 elements correspond to the polar coordinates of 1 to 359
# Add an offset of 50 to the values.
test <- test + 50
test2 <- test2 + 50
test3 <- test3 + 50
# Start preparing the data to be plotted in cartesian domain
X1<-turnPolarToX(test,1:359)
Y1<-turnPolarToY(test,1:359)
Z1<-rep(0,359)
X2<-turnPolarToX(test2,1:359)
Y2<-rep(0,359)
Z2<-turnPolarToY(test2,1:359)
X3<-rep(0,359)
Y3<-turnPolarToX(test3,1:359)
Z3<-turnPolarToY(test3,1:359)
# Time for the plotting now
Min<-min(test,test2,test3)
Max<-max(test,test2,test3)
bgplot3d( suppressWarnings (
image.plot( legend.only=TRUE, legend.args=list(text='dBm/100kHz'), zlim=c(Min,Max)-50,col=plotrix::color.scale(seq(Min-50,Max-50,length.out=21),c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)-50))
) # zlim is the colorbar numbers
)
# for below alternatively you can also use the lines3d to get values
points3d(X1,Y1,Z1,col=plotrix::color.scale(test,c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)),add=TRUE)
points3d(X2,Y2,Z2,col=plotrix::color.scale(test2,c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)),add=TRUE)
points3d(X3,Y3,Z3,col=plotrix::color.scale(test3,c(0,1,1),c(0,1,0),0,xrange=c(Min,Max)),add=TRUE)
# Add axes
labels <- pretty(c(-50, -20))
axis3d("x", at = labels + 50, labels = labels, pos = c(NA, 0, 0) )
axis3d("y", at = labels + 50, labels = labels, pos = c(0, NA, 0) )
axis3d("z", at = labels + 50, labels = labels, pos = c(0, 0, NA) )
我的一个系统产生了这个显示：
您可能想要添加圆圈以显示比例如何在每个平面上继续。这段代码可以做到：
theta <- seq(0, 2*pi, len = 100)
for (i in seq_along(labels)) {
x <- (labels[i] + 50)*cos(theta)
y <- (labels[i] + 50)*sin(theta)
lines3d(x, y, 0)
lines3d(x, 0, y)
lines3d(0, x, y)
}
我觉得剧情太忙了，不过你可以自己试试看。