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📁 演示matlab曲线拟和与插直的基本方法
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<html xmlns:mwsh="http://www.mathworks.com/namespace/mcode/v1/syntaxhighlight.dtd">   <head>      <meta http-equiv="Content-Type" content="text/html; charset=utf-8">         <!--This HTML is auto-generated from an M-file.To make changes, update the M-file and republish this document.      -->      <title>Spline curves</title>      <meta name="generator" content="MATLAB 7.1">      <meta name="date" content="2005-07-27">      <meta name="m-file" content="getcurv2">      <link rel="stylesheet" type="text/css" href="../../matlab/demos/private/style.css">   </head>   <body>      <div class="header">         <div class="left"><a href="matlab:edit getcurv2">Open getcurv2.m in the Editor</a></div>         <div class="right"><a href="matlab:echodemo getcurv2">Run in the Command Window</a></div>      </div>      <div class="content">         <h1>Spline curves</h1>         <introduction>            <p>Demonstrating the use of CSCVN.</p>         </introduction>         <h2>Contents</h2>         <div>            <ul>               <li><a href="#1">Selecting the points</a></li>               <li><a href="#2">Connecting the points</a></li>               <li><a href="#3">3-D spline curves</a></li>               <li><a href="#4">Connecting the points</a></li>            </ul>         </div>         <h2>Selecting the points<a name="1"></a></h2>         <p>The spline toolbox will draw a smooth curve through a list of points, in the order in which they are received. You could use            the Spline Toolbox command GETCURVE if you wanted the input such a list of points interactively. Here, we select random points,            storing them in the array XY, one point per  c o l u m n .         </p><pre class="codeinput">npts = 10;xy = [randn(1,npts); randn(1,npts)];plot(xy(1,:),xy(2,:),<span class="string">'ro'</span>,<span class="string">'LineWidth'</span>,2);text(xy(1,:), xy(2,:),[repmat(<span class="string">'  '</span>,npts,1), num2str((1:npts)')])set(gca,<span class="string">'XTick'</span>,[],<span class="string">'YTick'</span>,[])</pre><img vspace="5" hspace="5" src="getcurv2_01.png"> <h2>Connecting the points<a name="2"></a></h2>         <p>The curve is constructed by</p><pre>&gt;&gt; cv = cscvn(xy);</pre><p>and plotted by</p><pre>&gt;&gt; fnplt(cv,'r',2)</pre><pre class="codeinput">hold <span class="string">on</span>fnplt(cscvn(xy),<span class="string">'r'</span>,2)hold <span class="string">off</span></pre><img vspace="5" hspace="5" src="getcurv2_02.png"> <h2>3-D spline curves<a name="3"></a></h2>         <p>Notice that it's just as easy to create spline curves in three dimensions. This time, we'll do something less random. First,            we generate the points:         </p><pre class="codeinput">npts = 13;t = linspace(0,8*pi,npts); z = linspace(-1,1,npts); omz = sqrt(1-z.^2);xyz = [cos(t).*omz; sin(t).*omz; z];plot3(xyz(1,:),xyz(2,:),xyz(3,:),<span class="string">'ro'</span>,<span class="string">'LineWidth'</span>,2);text(xyz(1,:),xyz(2,:),xyz(3,:),[repmat(<span class="string">'  '</span>,npts,1), num2str((1:npts)')])set(gca,<span class="string">'XTick'</span>,[],<span class="string">'YTick'</span>,[],<span class="string">'ZTick'</span>,[])box <span class="string">on</span></pre><img vspace="5" hspace="5" src="getcurv2_03.png"> <h2>Connecting the points<a name="4"></a></h2>         <p>Here is the 3D spline curve through these points provided by CSCVN. By appending the first point to the end of the list, we            get a smooth  c l o s e d  curve.         </p><pre class="codeinput">hold <span class="string">on</span>fnplt(cscvn(xyz(:,[1:end 1])),<span class="string">'r'</span>,2)hold <span class="string">off</span><span class="comment">% axis vis3d</span></pre><img vspace="5" hspace="5" src="getcurv2_04.png"> <p class="footer">Copyright 1987-2005 C. de Boor and The MathWorks, Inc.<br>            Published with MATLAB&reg; 7.1<br></p>      </div>      <!--##### SOURCE BEGIN #####%% Spline curves% Demonstrating the use of CSCVN.% Copyright 1987-2005 C. de Boor and The MathWorks, Inc.% $Revision: 1.16.4.2 $%% Selecting the points% The spline toolbox will draw a smooth curve through a list of points, in% the order in which they are received.% You could use the Spline Toolbox command GETCURVE if you wanted the input% such a list of points interactively.% Here, we select random points, storing them in the array XY,% one point per  c o l u m n .npts = 10;xy = [randn(1,npts); randn(1,npts)];plot(xy(1,:),xy(2,:),'ro','LineWidth',2);text(xy(1,:), xy(2,:),[repmat('  ',npts,1), num2str((1:npts)')])set(gca,'XTick',[],'YTick',[])%% Connecting the points% The curve is constructed by%%  >> cv = cscvn(xy);%% and plotted by%%  >> fnplt(cv,'r',2)hold onfnplt(cscvn(xy),'r',2)hold off%% 3-D spline curves% Notice that it's just as easy to create spline curves in three dimensions.% This time, we'll do something less random. First, we generate the points:npts = 13;t = linspace(0,8*pi,npts); z = linspace(-1,1,npts); omz = sqrt(1-z.^2);xyz = [cos(t).*omz; sin(t).*omz; z];plot3(xyz(1,:),xyz(2,:),xyz(3,:),'ro','LineWidth',2);text(xyz(1,:),xyz(2,:),xyz(3,:),[repmat('  ',npts,1), num2str((1:npts)')])set(gca,'XTick',[],'YTick',[],'ZTick',[])box on%% Connecting the points% Here is the 3D spline curve through these points provided by CSCVN.% By appending the first point to the end of the list,% we get a smooth  c l o s e d  curve.hold onfnplt(cscvn(xyz(:,[1:end 1])),'r',2)hold off% axis vis3ddisplayEndOfDemoMessage(mfilename)##### SOURCE END #####-->   </body></html>
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