Re: constructing a continuous region from 2D data using
- To: mathgroup at smc.vnet.net
- Subject: [mg131400] Re: constructing a continuous region from 2D data using
- From: Bob Hanlon <hanlonr357 at gmail.com>
- Date: Thu, 18 Jul 2013 03:02:47 -0400 (EDT)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
- Delivered-to: l-mathgroup@wolfram.com
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- References: <20130717054903.D828E69BD@smc.vnet.net>
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}, {0.951062, 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}, {0.962999, 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}, {0.968639, 0.130024}, {0.964756, 0.136075}, {0.964743, 0.136075}, {0.939431, 0.000168501}, {0.941431, 0.000168501}, {0.943431, 0.000168501}, {0.945431, 0.000168501}, {0.947431, 0.000168501}, {0.949431, 0.000168501}, {0.951431, 0.000168501}, {0.953431, 0.000168501}, {0.955431, 0.000168501}, {0.957431, 0.000168501}, {0.959431, 0.000168501}, {0.961431, 0.000168501}, {0.963431, 0.000168501}, {0.965431, 0.000168501}, {0.967431, 0.000168501}, {0.969431, 0.000168501}, {0.971431, 0.000168501}, {0.973431, 0.000168501}, {0.975431, 0.000168501}, {0.977431, 0.000168501}, {0.939646, 0.0050858}, {0.940646, 0.0050858}, {0.941646, 0.0050858}, {0.942646, 0.0050858}, {0.943646, 0.0050858}, {0.944646, 0.0050858}, {0.945646, 0.0050858}, {0.946646, 0.0050858}, {0.947646, 0.0050858}, {0.948646, 0.0050858}, {0.949646, 0.0050858}, {0.950646, 0.0050858}, {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, 0.0050858}, {0.964646, 0.0050858}, {0.965646, 0.0050858}, {0.966646, 0.0050858}, {0.967646, 0.0050858}, {0.968646, 0.0050858}, {0.969646, 0.0050858}, {0.970646, 0.0050858}, {0.971646, 0.0050858}, {0.972646, 0.0050858}, {0.973646, 0.0050858}, {0.974646, 0.0050858}, {0.975646, 0.0050858}, {0.976646, 0.0050858}}; Needs["ComputationalGeometry`"] ch = ConvexHull[data]; Graphics[{ LightBlue, Polygon[data[[ch]]], Red, AbsolutePointSize[3], Point[data]}, AspectRatio -> 1/GoldenRatio, Frame -> True] ListLinePlot[data[[Append[ch, ch[[1]]]]], PlotStyle -> Directive[Blue, Thick], Frame -> True, Axes -> False, Epilog -> {Red, AbsolutePointSize[3], Point[data]}] Bob Hanlon On Wed, 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}} > >
- References:
- constructing a continuous region from 2D data using interpolation or
- From: ommair@uok.edu.pk
- constructing a continuous region from 2D data using interpolation or