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List Archives >  Maple User Group List Archive >  Archive by date >  This Month By Date >  This Month By Topic

[MUG] 3D surface plotting from data points.

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[MUG] 3D surface plotting from data points.
Author:    Posted: Tue, 14 May 2002 13:56:54 -0500

>> From: "EXT-Darrell.Barabash"

Hello users,

After many attempts with Maple 6 over the last couple days, I give up. I have some numeric data which I want to plot as a 3D surface. Ideally, I would like to plot it as contours. The problem is that I can only get 3D point plots to work and have been unable to figure out how to get it to display as a surface. The data is a list of [x,y,z] points where x and y are the independent variables.

data := [[50.7385, .8424, 17.76], [60.1174, 7.2830, 17.96], [61.4359, -2.9078, 17.65], [54.5203, -9.5282, 16.17], [46.5648, -8.8578, 17.68], [41.7216, -3.8881, 17.46], [40.8820, 2.5928, 16.98], [44.3202, 8.6542, 17.04], [51.9302, 11.2453, 17.61], [59.8513, 6.7143, 16.29], [70.7850, 14.2986, 17.74], [70.6260, 14.5001, 17.42], [62.0037, 20.7985, 17.23], [52.7317, 22.0789, 16.38], [45.2121, 19.9142, 17.05], [39.5056, 15.7564, 16.74], [35.9793, 10.8419, 16.69], [34.0844, 5.6868, 16.95], [33.5315, .5582, 17.19], [34.2978, -4.4322, 14.59], [36.2701, -9.2649, 13.52], [39.5079, -13.6210, 17.81], [44.2834, -17.3221, 17.53], [50.7196, -19.7107, 17.29], [58.8775, -19.7284, 17.37], [67.6327, -15.8741, 17.35], [74.6338, -7.3103, 17.44], [76.3174, 4.6175, 17.49], [80.6759, -25.1588, 17.17], [29.2350, 11.9718, 16.26], [31.0006, 16.4310, 15.96], [71.2992, 32.7692, 16.88]]

I have tried the pointplot3d function as well as "surfdata" (which I am, no doubt, using incorrectly). In all cases the best that I can do is get a scattergram of 3D points. What am I missing?

Thanks for any help from you "experts" out there ...

Darrell ...

> ********************************************
> Darrell Barabash, RF Design Engineer
> Nokia Networks, RAS R&D, Irving, Texas
> Phone: 972.894.6098
> Fax: 972.894.5949
> e-mail: "EXT-Darrell.Barabash"
> ********************************************
>

[MUG] Re: 3D surface plotting from data points
Author: Maple User Group    Posted: Fri, 17 May 2002 15:12:09 -0400

>> From: Maple User Group "maple_gr"

-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-

Date: Wed, 15 May 2002 12:40:24 -0700 (PDT)
From: Robert Israel "israel"
To: "maple-list"
Subject: 3D surface plotting from data points.

"surfdata" would be the function to use if your data were organized in
rows and columns. This doesn't seem to be the case. However, looking
at the projection on the xy plane it seems that you have points 2 to 10 in
a closed curve surrounding point 1, points 11 to 28 in a closed curve
around that in the opposite direction, and then points 29 to 32 outside
that, with point 29 near 26, 30 and 31 near 17, and 32 near 13.
So I might do it this way:

> L1:= [data[1]$19]:L2:= [seq(data[12-i]$2,i=2..10),data[10]]:
> L3:= [seq(data[i],i=11..28),data[11]]:
> u3:= [FAIL$3]:
> L4:= [u3$2,data[32],u3$2,data[31],data[30],u3$8,data[29],u3$3]:
> surfdata([L1,L2,L3,L4]);

Robert Israel "israel"
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia
Vancouver, BC, Canada V6T 1Z2


-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-

Date: Thu, 16 May 2002 09:04:06 +0900
To: "maple_gr"
From: tanaka "tanaka.kazuo205"
Subject: Fwd: 3D surface plotting from data points.

Try to use polygonplot3d with style=contour

or polygonplot3d with style=patch and after drawing the figure select
"Patch and Contour" from task bar "style".


>with(plots):
>polygonplot3d([[50.7385, .8424, 17.76], [60.1174, 7.2830, 17.96],
[61.4359, -2.9078, 17.65], [54.5203, -9.5282, 16.17], [46.5648, -8.8578,
17.68], [41.7216, -3.8881, 17.46], [40.8820, 2.5928, 16.98], [44.3202,
8.6542, 17.04], [51.9302, 11.2453, 17.61], [59.8513, 6.7143, 16.29],
[70.7850, 14.2986, 17.74], [70.6260, 14.5001, 17.42], [62.0037, 20.7985,
17.23], [52.7317, 22.0789, 16.38], [45.2121, 19.9142, 17.05], [39.5056,
15.7564, 16.74], [35.9793, 10.8419, 16.69], [34.0844, 5.6868, 16.95],
[33.5315, .5582, 17.19], [34.2978, -4.4322, 14.59], [36.2701, -9.2649,
13.52], [39.5079, -13.6210, 17.81], [44.2834, -17.3221, 17.53], [50.7196,
-19.7107, 17.29], [58.8775, -19.7284, 17.37], [67.6327, -15.8741, 17.35],
[74.6338, -7.3103, 17.44], [76.3174, 4.6175, 17.49], [80.6759, -25.1588,
17.17], [29.2350, 11.9718, 16.26], [31.0006, 16.4310, 15.96], [71.2992,
32.7692, 16.88]],axes=boxed,style=contour);


Dr.TANAKA, Kazuo,

General Manager,
Technology Administration Headquaters, Canon Inc.,
Tokyo, 146-8501, JAPAN

"mailto:tanaka.kazuo205" (office)
"mailto:User494704" (home)
"mailto:drtanakakazuo" (hotmail)

Previous by date: [MUG] Precise and invariant timing of a Maple program
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Previous thread: [MUG] Coupled, nonlinear ODEs., Anders Ballestad
Next thread: [MUG] p-hat and x-bar,  Sam Richardson



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