Point of intersection in ggplot2

Question

I need to find the intersection points between two curves I have plotted in ggplot2.

This is my code:

ggplot(Table1, aes(x=10^H4,y=10^H5, c         


        

Answer 1

We could use the approxfun() function, which does linear interpolation. We use the difference between the two curves (or between the set of data points) and then find the approximate value in the x-axis that makes the difference or value in y equal to 0.

#Finding the x value in the log10 scale

f1 <- approxfun(10^Table1$H5 - 10^Table1$H6,Table1$H4, rule=2)

f1(0)
[1] 4.516067

x11(); ggplot(Table1, aes(x=10^H4,y=10^H5, colour = "blabla")) + 
  geom_line(size=1)  + coord_cartesian(xlim=c(100,1000000000))+
 coord_cartesian(ylim=c(0.000000000001,1)) +  xlab("blabla")+
 ylab("blabla")  + ggtitle("blabla")+
scale_y_log10(breaks=c(0.000000000001, 0.000000001, 0.000001, 0.001)
, labels = trans_format("log10", math_format(10^.x)))+
 scale_x_log10(breaks=c(100,1000,10000,100000,1000000,10000000,100000000,1000000000)   
 , labels = trans_format("log10", math_format(10^.x))) + 
  geom_line(data=Table1,aes(10^H4,10^H6, colour = "blabla1"))+ 
  scale_color_manual("", values =c("blabla"="blue", "blabla1" = "red")
, labels=c("blabla","blabla1"))+
geom_vline(xintercept=10^ f1(0)) # adding the verical line

Data:

structure(list(H4 = c(2, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 
2.9, 3, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9, 4, 4.1, 
4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8, 4.9, 5, 5.1, 5.2, 5.3, 5.4, 
5.5, 5.6, 5.7, 5.8, 5.9, 6, 6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7, 
6.8, 6.9, 7, 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8, 7.9, 8, 
8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 9), H5 = c(-8.979, 
-8.927, -8.877, -8.829, -8.782, -8.736, -8.691, -8.648, -8.606, 
-8.565, -8.525, -8.485, -8.445, -8.405, -8.364, -8.323, -8.282, 
-8.241, -8.2, -8.159, -8.116, -8.064, -7.982, -7.826, -7.592, 
-7.333, -7.101, -6.91, -6.759, -6.64, -6.543, -6.461, -6.387, 
-6.321, -6.264, -6.218, -6.182, -6.155, -6.132, -6.117, -6.111, 
-6.12, -6.23, -6.433, -6.574, -6.664, -6.712, -6.726, -6.722, 
-6.707, -6.704, -6.748, -6.82, -6.864, -6.872, -6.859, -6.83, 
-6.796, -6.757, -6.717, -6.678, -6.636, -6.594, -6.549, -6.502, 
-6.454, -6.402, -6.349, -6.295, -6.238, -6.179), H6 = c(-5.116, 
-5.31, -5.495, -5.669, -5.823, -5.958, -6.075, -6.179, -6.271, 
-6.355, -6.433, -6.506, -6.575, -6.642, -6.707, -6.769, -6.829, 
-6.886, -6.941, -6.993, -7.044, -7.095, -7.144, -7.192, -7.237, 
-7.28, -7.321, -7.36, -7.398, -7.435, -7.47, -7.504, -7.536, 
-7.569, -7.602, -7.64, -7.684, -7.735, -7.789, -7.848, -7.917, 
-8.003, -8.131, -8.312, -8.494, -8.668, -8.823, -8.963, -9.095, 
-9.225, -9.365, -9.531, -9.711, -9.859, -9.965, -10.041, -10.098, 
-10.141, -10.175, -10.203, -10.236, -10.263, -10.285, -10.301, 
-10.314, -10.323, -10.33, -10.335, -10.339, -10.342, -10.344)), .Names = c("H4", 
"H5", "H6"), row.names = c(NA, -71L), class = "data.frame")