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MathGroup Archive 2004

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RE: Re: Regarding a 3D plot in mathematica

  • To: mathgroup at smc.vnet.net
  • Subject: [mg47545] RE: [mg47488] Re: [mg47462] Regarding a 3D plot in mathematica
  • From: "Wolf, Hartmut" <Hartmut.Wolf at t-systems.com>
  • Date: Thu, 15 Apr 2004 03:40:58 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Ananya,

These problems have been solved by Tom Wickham-Jones with his ExtendGraphics
packages obtainable for free from MathSource at the Wolfram site (check
out!).

What you need is 

<< ExtendGraphics`SurfaceGraphics3D`

and therein the function ListSurfacePlot3D to plot irregular data.

What is done is a Delaunay triangulation for the {x,y} components, such
Triangles (3D Polygons) can be erected for the 3D-Points (in x-y-vicinity).

Of course this only works well, if your data constitute a simple (unfolded)
surface over {x,y}.

A full description is given in his Book
http://www.amazon.com/exec/obidos/tg/detail/-/0387940472


--
Hartmut



>-----Original Message-----
>From: Tomas Garza [mailto:tgarza01 at prodigy.net.mx]
To: mathgroup at smc.vnet.net
>Sent: Wednesday, April 14, 2004 1:17 PM
>To: mathgroup at smc.vnet.net
>Subject: [mg47545] [mg47488] Re: [mg47462] Regarding a 3D plot in mathematica
>
>
>No, I don't think you can. One possibility, which is not too 
>neat, is to use
>Graphics`Graphics3D`ScatterPlot3D, and you will get something 
>you may or may
>not be able to interpret adequately. But, then, why can't you 
>convert your
>list of points in 3D to an array of heights? Perhaps, I 
>venture to guess,
>you have missing points, so you can't get a proper array. But, 
>should that
>be the case, 1) you may then fill the missing points with 
>zeroes, or 2) use
>ListInterpolation to obtain estimates of the missing heights.
>
>Tomas Garza
>Mexico City
>----- Original Message ----- 
>From: "Ananya Debnath" <ananya at ipc.iisc.ernet.in>
To: mathgroup at smc.vnet.net
>To: mathgroup at smc.vnet.net
>Subject: [mg47545] [mg47488] Re: [mg47462] Regarding a 3D plot in mathematica
>
>
>>
>>   I know this option. But say, if I can't convert my data 
>(list of points
>> in 3D) as array of height values, then can I plot my data of list of
>> points in 3D directly as we plot in case of a function?
>>
>> Ananya.
>>
>>
>> On Tue, 13 Apr 2004, Tomas Garza wrote:
>>
>> > There are some fine points regarding the nature of the 
>> > points you want to
>> > plot in 3D. First, have a close look at the definition of 
>> > ListPlot3D (in the
>> > on-line help browser, e.g.). Notice that the argument you 
>> > must provide is an
>> > array of height values, not a list of points in 3D. So, for example
>> >
>> > In[1]:=
>> > tbl = Table[Sin[x*y], {x, 0, Pi, Pi/8},
>> >     {y, 0, Pi, Pi/8}];
>> >
>> > In[2]:=
>> > ListPlot3D[tbl];
>> >
>> > works all right (first of all load Graphis`Graphics3D`). Some
>> > experimentation is useful in order to familiarize yourself 
>> > with this function.
>> >
>> > Tomas Garza
>> > Mexico City
>> > ----- Original Message ----- 
>> > From: "Ananya Debnath" <ananya at ipc.iisc.ernet.in>
To: mathgroup at smc.vnet.net
>> >To: mathgroup at smc.vnet.net
>> > To: <mathgroup at smc.vnet.net>
>> > Sent: Tuesday, April 13, 2004 5:26 AM
>> > Subject: [mg47545] [mg47488] [mg47462] Regarding a 3D plot in mathematica
>> >
>> >
>> > > Hi,
>> > >
>> > > I want to make a 3D plot out of a data file having 3 columns of
>> > > numbers using mathematica such that each row represents a point 
>> > > in 3D, and also
>> > > the resulting plot looks as one obtained from ploting a 
>> > > function with command
>> > > line:
>> > > Plot3D[function[x,y],{x,xmin,xmax},{y,ymin,ymax}].
>> > >
>> > >  Can you please help me regarding this plot?
>> > >
>> > > Thanks,
>> > >
>> > > Ananya.
>> > >


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