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MathGroup Archive 2013

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Re: constructing a continuous region from 2D data using interpolation or

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  • Subject: [mg131401] Re: constructing a continuous region from 2D data using interpolation or
  • From: Sseziwa Mukasa <mukasa at gmail.com>
  • Date: Thu, 18 Jul 2013 03:03:07 -0400 (EDT)
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You could try ConvexHull:

(Debug) In[13]:= Needs["ComputationalGeometry`"]
convexHull = ConvexHull[data]
Graphics[Polygon[data[[#]] & /@ convexHull]]
(Debug) Out[14]= {207, 74, 161, 185, 186, 187, 180, 172, 162, 150, 137, 123, 108, 92, 75, 57, \
39, 1, 208, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, \
201, 202, 203, 204, 205, 206}

On Jul 17, 2013, at 1:49 AM, ommair at uok.edu.pk wrote:

> As shown in an image there are many data points in a region and these points are in the form of {{x1,y1},{x2,y2},{x3,y3},{x4,y4}......} and assume z=0 for all data. I want to construct a whole continuous region from these points i.e wants to cover the area between points with proper boundary of the region. Like for example we can draw a curve from data points using interpolation cant we construct a continuous region or plane from data points in my image. Or suggest me any other method from which I can get continuous region from my data.
>
> data= {{0.939922, 0.0109069}, {0.941922, 0.0109069}, {0.943922, =
0.0109069}, {0.945922, 0.0109069}, {0.947922, 0.0109069}, {0.949922, =
0.0109069}, {0.951922, 0.0109069}, {0.953922, 0.0109069}, {0.955922, =
0.0109069}, {0.957922, 0.0109069}, {0.959922, 0.0109069}, {0.961922, =
0.0109069}, {0.963922, 0.0109069}, {0.965922, 0.0109069}, {0.967922, =
0.0109069}, {0.969922, 0.0109069}, {0.971922, 0.0109069}, {0.973922, =
0.0109069}, {0.975922, 0.0109069}, {0.940468, 0.0201746}, {0.942468, =
0.0201746}, {0.944468, 0.0201746}, {0.946468,0.0201746}, {0.948468, =
0.0201746}, {0.950468, 0.0201746}, {0.952468, 0.0201746}, {0.954468, =
0.0201746}, {0.956468, 0.0201746}, {0.958468, 0.0201746},{0.960468, =
0.0201746}, {0.962468, 0.0201746}, {0.964468, 0.0201746}, {0.966468, =
0.0201746}, {0.968468, 0.0201746}, {0.970468, 0.0201746}, {0.972468, =
0.0201746}, {0.974468, 0.0201746}, {0.976468, 0.0201746}, {0.941062, =
0.0304687}, {0.943062, 0.0304687}, {0.945062, 0.0304687}, {0.947062, =
0.0304687}, {0.949062, 0.0304687}, {0.9
> 51062, 0.0304687}, {0.953062, 0.0304687}, {0.955062, 0.0304687}, =
{0.957062, 0.0304687}, {0.959062, 0.0304687}, {0.961062, 0.0304687}, =
{0.963062, 0.0304687}, {0.965062, 0.0304687}, {0.967062, 0.0304687}, =
{0.969062, 0.0304687}, {0.971062, 0.0304687}, {0.973062, 0.0304687}, =
{0.975062, 0.0304687}, {0.941955, 0.0405944}, {0.943955, 0.0405944}, =
{0.945955, 0.0405944}, {0.947955, 0.0405944}, {0.949955, 0.0405944}, =
{0.951955, 0.0405944}, {0.953955, 0.0405944}, {0.955955, 0.0405944}, =
{0.957955, 0.0405944}, {0.959955, 0.0405944}, {0.961955, 0.0405944}, =
{0.963955, 0.0405944}, {0.965955, 0.0405944}, {0.967955, 0.0405944}, =
{0.969955, 0.0405944}, {0.971955, 0.0405944}, {0.973955, 0.0405944}, =
{0.975955, 0.0405944}, {0.942928, 0.0501072}, {0.944928, 0.0501072}, =
{0.946928, 0.0501072}, {0.948928, 0.0501072}, {0.950928, 0.0501072}, =
{0.952928, 0.0501072}, {0.954928, 0.0501072}, {0.956928, 0.0501072}, =
{0.958928, 0.0501072}, {0.960928, 0.0501072}, {0.962928, 0.0501072}, =
{0.964928, 0.0501072}, {0.966928, 0
> .0501072}, {0.968928, 0.0501072}, {0.970928, 0.0501072}, {0.972928, =
0.0501072}, {0.974928, 0.0501072}, {0.944116, 0.0601409}, {0.946116, =
0.0601409}, {0.948116, 0.0601409}, {0.950116, 0.0601409}, {0.952116, =
0.0601409}, {0.954116, 0.0601409}, {0.956116, 0.0601409}, {0.958116, =
0.0601409}, {0.960116, 0.0601409}, {0.962116, 0.0601409}, {0.964116, =
0.0601409}, {0.966116, 0.0601409}, {0.968116, 0.0601409},{0.970116, =
0.0601409}, {0.972116, 0.0601409}, {0.974116, 0.0601409}, {0.945435, =
0.0700827}, {0.947435, 0.0700827}, {0.949435, 0.0700827}, {0.951435, =
0.0700827}, {0.953435, 0.0700827}, {0.955435, 0.0700827}, {0.957435, =
0.0700827}, {0.959435, 0.0700827}, {0.961435, 0.0700827}, {0.963435, =
0.0700827}, {0.965435, 0.0700827}, {0.967435, 0.0700827}, {0.969435, =
0.0700827}, {0.971435, 0.0700827}, {0.973435, 0.0700827}, {0.946999, =
0.080193}, {0.948999, 0.080193}, {0.950999, 0.080193}, {0.952999, =
0.080193}, {0.954999, 0.080193}, {0.956999, 0.080193}, {0.958999, =
0.080193}, {0.960999, 0.080193}, {0.962
> 999, 0.080193}, {0.964999, 0.080193}, {0.966999, 0.080193}, {0.968999, =
0.080193}, {0.970999, 0.080193}, {0.972999, 0.080193}, {0.948598, =
0.0901655}, {0.950598, 0.0901655}, {0.952598, 0.0901655}, {0.954598, =
0.0901655}, {0.956598, 0.0901655}, {0.958598, 0.0901655}, {0.960598, =
0.0901655}, {0.962598, 0.0901655}, {0.964598, 0.0901655}, {0.966598, =
0.0901655}, {0.968598, 0.0901655},{0.970598, 0.0901655}, {0.972598, =
0.0901655}, {0.950525, 0.100567}, {0.952525, 0.100567}, {0.954525, =
0.100567}, {0.956525, 0.100567}, {0.958525, 0.100567}, {0.960525, =
0.100567}, {0.962525, 0.100567}, {0.964525, 0.100567}, {0.966525, =
0.100567}, {0.968525, 0.100567}, {0.970525, 0.100567}, {0.972525, =
0.100567}, {0.952756, 0.110294}, {0.954756, 0.110294}, {0.956756, =
0.110294}, {0.958756, 0.110294}, {0.960756, 0.110294}, {0.962756, =
0.110294}, {0.964756, 0.110294}, {0.966756, 0.110294}, {0.968756, =
0.110294}, {0.970756, 0.110294}, {0.955088, 0.120251}, {0.957088, =
0.120251}, {0.959088, 0.120251}, {0.961088, 0.120251}, {
> 0.963088, 0.120251}, {0.965088, 0.120251}, {0.967088, 0
> .120251}, {0.969088, 0.120251}, {0.958639, 0.130024}, {0.960639, =
0.130024},=
> {0.962639, 0.130024}, {0.964639, 0.130024}, {0.966639, 0.130024}, =
{0.96863=
> 9, 0.130024}, {0.964756, 0.136075}, {0.964743, 0.136075}, {0.939431, =
0.0001=
> 68501}, {0.941431, 0.000168501}, {0.943431, 0.000168501}, {0.945431, =
0.0001=
> 68501}, {0.947431, 0.000168501}, {0.949431, 0.000168501}, {0.951431, =
0.0001=
> 68501}, {0.953431, 0.000168501}, {0.955431, 0.000168501}, {0.957431, =
0.0001=
> 68501}, {0.959431, 0.000168501}, {0.961431, 0.000168501}, {0.963431, =
0.0001=
> 68501}, {0.965431, 0.000168501}, {0.967431, 0.000168501}, {0.969431, =
0.0001=
> 68501}, {0.971431, 0.000168501}, {0.973431, 0.000168501}, {0.975431, =
0.0001=
> 68501}, {0.977431, 0.000168501}, {0.939646, 0.0050858}, {0.940646, =
0.005085=
> 8}, {0.941646, 0.0050858}, {0.942646, 0.0050858}, {0.943646, =
0.0050858}, {0=
> .944646, 0.0050858}, {0.945646, 0.0050858}, {0.946646, 0.0050858}, =
{0.94764=
> 6, 0.0050858}, {0.948646, 0.0050858}, {0.949646, 0.0050858}, =
{0.950646, 0.0=
> 050858}, {0.951646, 0.0050858}, {0.952646, 0.0050858}, {0.953646, =
0.0050858=
> }, {0.954646, 0.0050858}, {0.955646, 0.0050858}, {0.956646, =
0.0050858}, {0.=
> 957646, 0.0050858}, {0.958646, 0.0050858}, {0.959646, 0.0050858}, =
{0.960646=
> , 0.0050858}, {0.961646, 0.0050858}, {0.962646, 0.0050858}, {0.963646, =
0.00=
> 50858}, {0.964646, 0.0050858}, {0.965646, 0.0050858}, {0.966646, =
0.0050858}=
> , {0.967646, 0.0050858}, {0.968646, 0.0050858}, {0.969646, 0.0050858}, =
{0.9=
> 70646, 0.0050858}, {0.971646, 0.0050858}, {0.972646, 0.0050858}, =
{0.973646,=
> 0.0050858}, {0.974646, 0.0050858}, {0.975646, 0.0050858}, {0.976646, =
0.005=
> 0858}}
>




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