Re: [R] x, y for point of intersection
Monica has sent me some data and code for taking a quick look. As it turned out, there was a simple programming error on her side. The segm_distance() function in package 'pracma' is working correctly. And there is no minimization procedure in here, it simply solves some equations from plane geometry. Maybe the function suggested by Don is faster, I haven't checked that. Regards, Hans Werner 2011/11/29 Monica Pisica pisican...@hotmail.com Hi again, Working with my real data and not with the little example i sent to the list i discovered that segm_distance function from package pracma does not converge to 0 in all cases, even if i increase the number of iteration to 10,000 for example. It seems that it depends on the initialization point - most like a minimization function. So my thanks go to Don who's suggestion works for the real data as well without any problems - so far ;-) He suggested to use the function crossing.psp from package spatstat. Thanks again to all who have answered and helped to solve my problem. I certainly learned few new things. Monica From: macque...@llnl.gov To: pisican...@hotmail.com CC: r-help@r-project.org Date: Wed, 23 Nov 2011 14:03:42 -0800 Subject: Re: [R] x, y for point of intersection The function crossing.psp() in the spatstat package might be of use. Here's an excerpt from its help page: crossing.psp package:spatstat R Documentation Crossing Points of Two Line Segment PatternsDescription: Finds any crossing points between two line segment patterns. Usage: crossing.psp(A,B) -Don -- Don MacQueen Lawrence Livermore National Laboratory 7000 East Ave., L-627 Livermore, CA 94550 925-423-1062 __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
Re: [R] x, y for point of intersection
Hi everybody, Thanks for checking my code, Hans, it help to see where my initial mistake was. I am sorry i assumed that there was a minimization problem. In short i had 2 wavy lines (left and right) that didn't intersect and lots of straight parallel lines that intersect the first 2 lines. I wanted to solve the intersection for the left and right line simultaneously and put everything in a big loop. And there the mistake was. Meanwhile i was able to use Don suggestion with no problem and no loop. Thanks again, Monica Date: Thu, 1 Dec 2011 12:13:49 +0100 Subject: Re: [R] x, y for point of intersection From: hwborch...@googlemail.com To: r-help@r-project.org CC: macque...@llnl.gov; pisican...@hotmail.com; dwinsem...@comcast.net; ted.hard...@wlandres.net Monica has sent me some data and code for taking a quick look. As it turned out, there was a simple programming error on her side. The segm_distance() function in package 'pracma' is working correctly. And there is no minimization procedure in here, it simply solves some equations from plane geometry. Maybe the function suggested by Don is faster, I haven't checked that. Regards, Hans Werner 2011/11/29 Monica Pisica pisican...@hotmail.com Hi again, Working with my real data and not with the little example i sent to the list i discovered that segm_distance function from package pracma does not converge to 0 in all cases, even if i increase the number of iteration to 10,000 for example. It seems that it depends on the initialization point - most like a minimization function. So my thanks go to Don who's suggestion works for the real data as well without any problems - so far ;-) He suggested to use the function crossing.psp from package spatstat. Thanks again to all who have answered and helped to solve my problem. I certainly learned few new things. Monica From: macque...@llnl.gov To: pisican...@hotmail.com CC: r-help@r-project.org Date: Wed, 23 Nov 2011 14:03:42 -0800 Subject: Re: [R] x, y for point of intersection The function crossing.psp() in the spatstat package might be of use. Here's an excerpt from its help page: crossing.psp package:spatstat R Documentation Crossing Points of Two Line Segment PatternsDescription: Finds any crossing points between two line segment patterns. Usage: crossing.psp(A,B) -Don -- Don MacQueen Lawrence Livermore National Laboratory 7000 East Ave., L-627 Livermore, CA 94550 925-423-1062 [[alternative HTML version deleted]] __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
Re: [R] x, y for point of intersection
Hi again, Working with my real data and not with the little example i sent to the list i discovered that segm_distance function from package pracma does not converge to 0 in all cases, even if i increase the number of iteration to 10,000 for example. It seems that it depends on the initialization point - most like a minimization function. So my thanks go to Don who's suggestion works for the real data as well without any problems - so far ;-) He suggested to use the function crossing.psp from package spatstat. Thanks again to all who have answered and helped to solve my problem. I certainly learned few new things. Monica From: macque...@llnl.gov To: pisican...@hotmail.com CC: r-help@r-project.org Date: Wed, 23 Nov 2011 14:03:42 -0800 Subject: Re: [R] x, y for point of intersection The function crossing.psp() in the spatstat package might be of use. Here's an excerpt from its help page: crossing.psp package:spatstat R Documentation Crossing Points of Two Line Segment PatternsDescription: Finds any crossing points between two line segment patterns. Usage: crossing.psp(A,B) -Don -- Don MacQueen Lawrence Livermore National Laboratory 7000 East Ave., L-627 Livermore, CA 94550 925-423-1062 On 11/22/11 12:48 PM, R. Michael Weylandt michael.weyla...@gmail.com michael.weyla...@gmail.com wrote: If it's a one off, the identify() function might be of help -- if you need something algorithmic it's harder due to floating point stuff and sampling frequencies. Let me know if that's the case. Michael On Nov 22, 2011, at 3:40 PM, Monica Pisica pisican...@hotmail.com wrote: Hi everyone, I am trying to get a point of intersection between a polyline and a straight line ©.. and get the x and y coordinates of this point. For exemplification consider this: set.seed(123) k1 -rnorm(100, mean=1.77, sd=3.33) k1 - sort(k1) q1 - rnorm(100, mean=2.37, sd=0.74) q1 - sort(q1, decreasing = TRUE) plot(k1, q1, xlim - c((min(k1)-5), (max(k1)+5)), type=l) ya - 2 xa = -5 yb=4 xb=12 lines(c(xa, xb), c(ya, yb), col = 2) # I want to get the x and y coordinates of the intersection of the 2 lines ©. m - (ya-yb)/(xa-xb) b - ya-m*xa ln - loess(q1~k1) lines(ln) It is clear that the x, y will satisfy both linear equations, y = m*x + b and the ln polyline ©.. but while I can visualize the equation of the straight line I have problems with the polyline. I will appreciate any ideas to solve this problem. I thought it a trivial solution but it seems I cannot see it. Thanks, Monica __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code. __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code. [[alternative HTML version deleted]] __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
Re: [R] x, y for point of intersection
Monica Pisica pisicandru at hotmail.com writes:
Hi everyone,
I am trying to get a point of intersection between a
polyline and a straight line ….. and get the x and y coordinates of this
point.
For exemplification consider this:
set.seed(123)
k1 -rnorm(100, mean=1.77, sd=3.33)
k1 - sort(k1)
q1 - rnorm(100, mean=2.37, sd=0.74)
q1 - sort(q1, decreasing = TRUE)
plot(k1, q1, xlim - c((min(k1)-5), (max(k1)+5)), type=l)
xa - -5; ya - 2
xb - 12; yb - 4
lines(c(xa, xb), c(ya, yb), col = 2)
I want to get the x and y coordinates of the intersection of the 2 lines ...
m - (ya-yb)/(xa-xb)
b - ya-m*xa
ln - loess(q1~k1)
lines(ln)
It is clear that the x, y will satisfy both linear
equations, y = m*x + b and the ln polyline ….. but while I can visualize the
equation of the straight line – I have problems with the polyline. I will
appreciate any ideas to solve this problem. I thought it a trivial solution
but it seems I cannot see it.
You could apply the function segm_distance in package 'pracma'. If the
distance between two segments is 0, it returns the intersection point:
p1 - c(xa, ya); p2 - c(xb, yb)
for (i in 2:100) {
p3 - c(k1[i-1], q1[i-1]); p4 - c(k1[i], q1[i])
s - segm_distance(p1, p2, p3, p4)
if (s$d == 0) break
}
s$p # 0.2740154 2.6204724
points(s$p[1], s$p[2], pch=+, col=red)
Thanks,
Monica
__
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PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.
[R] x, y for point of intersection
Hi everybody,
Thank you so much for your answers. The easiest and most straight forward
solution is using the function segm_dist from package pracma as suggested by
Hans Borchers.
Thanks again and Happy Thanksgiving for those who celebrate!
Monica
Message: 99
Date: Wed, 23 Nov 2011 08:11:22 +
From: Hans W Borchers hwborch...@googlemail.com
To: r-h...@stat.math.ethz.ch
Subject: Re: [R] x, y for point of intersection
Message-ID: loom.2023t085346-...@post.gmane.org
Content-Type: text/plain; charset=utf-8
Monica Pisica pisicandru at hotmail.com writes:
Hi everyone,
I am trying to get a point of intersection between a
polyline and a straight line ?.. and get the x and y coordinates of this
point.
For exemplification consider this:
set.seed(123)
k1 -rnorm(100, mean=1.77, sd=3.33)
k1 - sort(k1)
q1 - rnorm(100, mean=2.37, sd=0.74)
q1 - sort(q1, decreasing = TRUE)
plot(k1, q1, xlim - c((min(k1)-5), (max(k1)+5)), type=l)
xa - -5; ya - 2
xb - 12; yb - 4
lines(c(xa, xb), c(ya, yb), col = 2)
I want to get the x and y coordinates of the intersection of the 2 lines
...
m - (ya-yb)/(xa-xb)
b - ya-m*xa
ln - loess(q1~k1)
lines(ln)
It is clear that the x, y will satisfy both linear
equations, y = m*x + b and the ln polyline ?.. but while I can visualize
the
equation of the straight line ? I have problems with the polyline. I will
appreciate any ideas to solve this problem. I thought it a trivial
solution
but it seems I cannot see it.
You could apply the function segm_distance in package 'pracma'. If the
distance between two segments is 0, it returns the intersection point:
p1 - c(xa, ya); p2 - c(xb, yb)
for (i in 2:100) {
p3 - c(k1[i-1], q1[i-1]); p4 - c(k1[i], q1[i])
s - segm_distance(p1, p2, p3, p4)
if (s$d == 0) break
}
s$p # 0.2740154 2.6204724
points(s$p[1], s$p[2], pch=+, col=red)
Thanks,
Monica
__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.
Re: [R] x, y for point of intersection
The function crossing.psp() in the spatstat package might be of use. Here's an excerpt from its help page: crossing.psp package:spatstat R Documentation Crossing Points of Two Line Segment PatternsDescription: Finds any crossing points between two line segment patterns. Usage: crossing.psp(A,B) -Don -- Don MacQueen Lawrence Livermore National Laboratory 7000 East Ave., L-627 Livermore, CA 94550 925-423-1062 On 11/22/11 12:48 PM, R. Michael Weylandt michael.weyla...@gmail.com michael.weyla...@gmail.com wrote: If it's a one off, the identify() function might be of help -- if you need something algorithmic it's harder due to floating point stuff and sampling frequencies. Let me know if that's the case. Michael On Nov 22, 2011, at 3:40 PM, Monica Pisica pisican...@hotmail.com wrote: Hi everyone, I am trying to get a point of intersection between a polyline and a straight line Š.. and get the x and y coordinates of this point. For exemplification consider this: set.seed(123) k1 -rnorm(100, mean=1.77, sd=3.33) k1 - sort(k1) q1 - rnorm(100, mean=2.37, sd=0.74) q1 - sort(q1, decreasing = TRUE) plot(k1, q1, xlim - c((min(k1)-5), (max(k1)+5)), type=l) ya - 2 xa = -5 yb=4 xb=12 lines(c(xa, xb), c(ya, yb), col = 2) # I want to get the x and y coordinates of the intersection of the 2 lines Š. m - (ya-yb)/(xa-xb) b - ya-m*xa ln - loess(q1~k1) lines(ln) It is clear that the x, y will satisfy both linear equations, y = m*x + b and the ln polyline Š.. but while I can visualize the equation of the straight line I have problems with the polyline. I will appreciate any ideas to solve this problem. I thought it a trivial solution but it seems I cannot see it. Thanks, Monica __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code. __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code. __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
[R] x, y for point of intersection
Hi everyone, I am trying to get a point of intersection between a polyline and a straight line ….. and get the x and y coordinates of this point. For exemplification consider this: set.seed(123) k1 -rnorm(100, mean=1.77, sd=3.33) k1 - sort(k1) q1 - rnorm(100, mean=2.37, sd=0.74) q1 - sort(q1, decreasing = TRUE) plot(k1, q1, xlim - c((min(k1)-5), (max(k1)+5)), type=l) ya - 2 xa = -5 yb=4 xb=12 lines(c(xa, xb), c(ya, yb), col = 2) # I want to get the x and y coordinates of the intersection of the 2 lines …. m - (ya-yb)/(xa-xb) b - ya-m*xa ln - loess(q1~k1) lines(ln) It is clear that the x, y will satisfy both linear equations, y = m*x + b and the ln polyline ….. but while I can visualize the equation of the straight line – I have problems with the polyline. I will appreciate any ideas to solve this problem. I thought it a trivial solution but it seems I cannot see it. Thanks, Monica __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
Re: [R] x, y for point of intersection
If it's a one off, the identify() function might be of help -- if you need something algorithmic it's harder due to floating point stuff and sampling frequencies. Let me know if that's the case. Michael On Nov 22, 2011, at 3:40 PM, Monica Pisica pisican...@hotmail.com wrote: Hi everyone, I am trying to get a point of intersection between a polyline and a straight line ….. and get the x and y coordinates of this point. For exemplification consider this: set.seed(123) k1 -rnorm(100, mean=1.77, sd=3.33) k1 - sort(k1) q1 - rnorm(100, mean=2.37, sd=0.74) q1 - sort(q1, decreasing = TRUE) plot(k1, q1, xlim - c((min(k1)-5), (max(k1)+5)), type=l) ya - 2 xa = -5 yb=4 xb=12 lines(c(xa, xb), c(ya, yb), col = 2) # I want to get the x and y coordinates of the intersection of the 2 lines …. m - (ya-yb)/(xa-xb) b - ya-m*xa ln - loess(q1~k1) lines(ln) It is clear that the x, y will satisfy both linear equations, y = m*x + b and the ln polyline ….. but while I can visualize the equation of the straight line – I have problems with the polyline. I will appreciate any ideas to solve this problem. I thought it a trivial solution but it seems I cannot see it. Thanks, Monica __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code. __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
Re: [R] x, y for point of intersection
Hi, No it is not one off, the situation is even more complicated i will have a series of straight lines like the red one parallel with each other that intersect the black polyline and i need to get all the points (x, y). Meanwhile i was thinking if it will not be easier if somehow i can rotate the coordinate axes so the red lines are horizontal (of course the polyline needs to be rotated as well) and maybe knowing the distance between the red parallel lines and the fact that now they are horizontal will help. I need to think a little bit more about that - and of course afterwards the results need to be translated back to the original coordinate system. Thanks, Monica CC: r-help@r-project.org From: michael.weyla...@gmail.com Subject: Re: [R] x, y for point of intersection Date: Tue, 22 Nov 2011 15:48:34 -0500 To: pisican...@hotmail.com If it's a one off, the identify() function might be of help -- if you need something algorithmic it's harder due to floating point stuff and sampling frequencies. Let me know if that's the case. Michael On Nov 22, 2011, at 3:40 PM, Monica Pisica pisican...@hotmail.com wrote: Hi everyone, I am trying to get a point of intersection between a polyline and a straight line ….. and get the x and y coordinates of this point. For exemplification consider this: set.seed(123) k1 -rnorm(100, mean=1.77, sd=3.33) k1 - sort(k1) q1 - rnorm(100, mean=2.37, sd=0.74) q1 - sort(q1, decreasing = TRUE) plot(k1, q1, xlim - c((min(k1)-5), (max(k1)+5)), type=l) ya - 2 xa = -5 yb=4 xb=12 lines(c(xa, xb), c(ya, yb), col = 2) # I want to get the x and y coordinates of the intersection of the 2 lines …. m - (ya-yb)/(xa-xb) b - ya-m*xa ln - loess(q1~k1) lines(ln) It is clear that the x, y will satisfy both linear equations, y = m*x + b and the ln polyline ….. but while I can visualize the equation of the straight line – I have problems with the polyline. I will appreciate any ideas to solve this problem. I thought it a trivial solution but it seems I cannot see it. Thanks, Monica __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code. __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
Re: [R] x, y for point of intersection
On Nov 22, 2011, at 3:40 PM, Monica Pisica wrote: (edited out excessive white space) I am trying to get a point of intersection between a polyline and a straight line ….. and get the x and y coordinates of this point. For exemplification consider this: set.seed(123) k1 -rnorm(100, mean=1.77, sd=3.33) k1 - sort(k1) q1 - rnorm(100, mean=2.37, sd=0.74) q1 - sort(q1, decreasing = TRUE) plot(k1, q1, xlim - c((min(k1)-5), (max(k1)+5)), type=l) ya - 2 xa = -5 yb=4 xb=12 lines(c(xa, xb), c(ya, yb), col = 2) # I want to get the x and y coordinates of the # intersection of the 2 lines …. m - (ya-yb)/(xa-xb) b - ya-m*xa ln - loess(q1~k1) lines(ln) You should look at: str(ln) # then plot lines(ln$x, ln$fitted, col=blue) plot(approxfun(c(xa, xb), c(ya, yb)), add=TRUE, col=green) plot(approxfun(ln$x, ln$fitted), col=orange, add=TRUE) And think about minimizing the difference in distances between two functions. It is clear that the x, y will satisfy both linear equations, y = m*x + b and the ln polyline ….. but while I can visualize the equation of the straight line – I have problems with the polyline. I will appreciate any ideas to solve this problem. I thought it a trivial solution but it seems I cannot see it. Thanks, Monica __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code. David Winsemius, MD West Hartford, CT __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
Re: [R] x, y for point of intersection
On 22-Nov-11 21:25:56, Monica Pisica wrote: Hi everyone, I am trying to get a point of intersection between a polyline and a straight line .. and get the x and y coordinates of this point. For exemplification consider this: set.seed(123) k1 -rnorm(100, mean=1.77, sd=3.33) k1 - sort(k1) q1 - rnorm(100, mean=2.37, sd=0.74) q1 - sort(q1, decreasing = TRUE) plot(k1, q1, xlim - c((min(k1)-5), (max(k1)+5)), type=l) ya - 2 xa = -5 yb=4 xb=12 lines(c(xa, xb), c(ya, yb), col = 2) # I want to get the x and y coordinates of the # intersection of the 2 lines. m - (ya-yb)/(xa-xb) b - ya-m*xa ln - loess(q1~k1) lines(ln) It is clear that the x, y will satisfy both linear equations, y = m*x + b and the ln polyline - .. but while I can visualize the equation of the straight line - I have problems with the polyline. I will appreciate any ideas to solve this problem. I thought it a trivial solution but it seems I cannot see it. Thanks, Monica ya - 2 xa = -5 yb = 4 xb = 12 These define a line y = ya + (x - xa)*(yb - ya)/(xb - xa) so write this as y = A + B*x Then points above the line satisfy y A + B*X and points below the line satisfy Y A + B*X A - ya - xa*(yb - ya)/(xb - xa) B - (yb - ya)/(xb - xa) So now extract the points (x,y) fron the loess fit: x.ln - ln$x y.ln - ln$y and now find the points on 'ln' which are above, and the points on ln which are below, which will locate the segment which crosses the (X,Y) line: ix.upper - which(y.ln A + B*ln$y) ix.lower - which(y.ln =3D A + B*ln$y) ix.upper # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15=20 So now you have the line segment from (x.ln[15],y.ln[15]) to (x.ln[16],y.ln[16]) and now all you need to do is to find the intersection of the line from (ln.x[15],ln.y[15]) to (ln.x[16],ln.y[16]) with the line from (xa,ya) to (xb,yb). (There could be complications if the y-values of ln do not continually decrease in value; but happily they do decrease in your example). Hoping this helps! Ted. E-Mail: (Ted Harding) ted.hard...@wlandres.net Fax-to-email: +44 (0)870 094 0861 Date: 22-Nov-11 Time: 22:49:54 -- XFMail -- __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
