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[转载]如何在Matlab极坐标polar绘图上增加刻度单位

(2016-09-29 19:18:14)
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分类: matlab

如何在Matlab极坐标polar绘图上增加刻度单位

一直以来,想在极坐标上面增加刻度,不知道该如何更改,经常是手动加入,费时费力。今天突然想起来为何不能通过修改Matlab的已知源代码,去更改呢?百度了之后,找到了以下的文章:

Site: http://blog.renren.com/share/240189843/2199786563

先不看文章,先来看Matlab默认绘制出来的效果图:

命令如下:

t = 0 : .01 : 2 * pi;

polar(t, sin(2 * t) .* cos(2 * t), '--r');

http://s6/mw690/001lQDg9gy71Lcp1Yxf45&690


那么问题来了,我想在0360上面增加度的标记,即“°”,在0.10.2……上面增加微米标记,即μm。那么我们查找Maltab的代码。在命令窗口敲出polar,然后双击选中,右键选择打开该命令。

http://s15/mw690/001lQDg9gy71LcsiMcSce&690

打开后,找到第153(int2str(i*30))和161(loc)行,即为我们想要增加的度的标示部分:

http://s13/mw690/001lQDg9gy71LcuT5Hm7c&690

更改为如下程序:

http://s4/mw690/001lQDg9gy71LcwVOq713&690

第二部分的修改,找到第136行:

http://s10/mw690/001lQDg9gy71LczUSHTa9&690

修改为:

http://s2/mw690/001lQDg9gy71LcC1ocx81&690

大功告成。注意,我们尽量不去修改Matlab原始的代码,所以我们这里将整个修改后的程序另存为:Mypolar.m。下面我们看一下修改后的绘图效果:

命令如下:

t = 0 : .01 : 2 * pi;

Mypolar(t, sin(2 * t) .* cos(2 * t), '--r');

http://s14/mw690/001lQDg9gy71LcE9wzX2d&690

同理,我们还可以用类似的方法修改相应代码,得到我们想要的效果。

最后,还是那句话:多看Matlab Help!多看Matlab Help!多看Matlab Help

 

参考:

 

Site: http://blog.renren.com/share/240189843/2199786563

 

matlab极坐标图改变坐标系标注

作者  黎芳芳

这两个命令的角度是定死的,没有提供任何接口去修改。
你一定要改,就只能改这两个命令的源代码了

http://s16/mw690/001lQDg9gy71LcGksBF4f&690



打开polar.m后可以找到下面这段语句
% plot spokes
    th = (1:6)*2*pi/12;
    cst = cos(th); snt = sin(th);
    cs = [-cst; cst];
    sn = [-snt; snt];
    line(rmax*cs,rmax*sn,'linestyle',ls,'color',tc,'linewidth',1,...
         'handlevisibility','off','parent',cax)
th改成别的值就可以绘制不同的角度了,比如改成th = (1:4)*2*pi/8;就是45度的分割线了。

当然下面还要继续改显示的度数
% annotate spokes in degrees
    rt = 1.1*rmax;
    for i = 1:length(th)
        text(rt*cst(i),rt*snt(i),int2str(i*30),...
             'horizontalalignment','center',...
             'handlevisibility','off','parent',cax);
        if i == length(th)
            loc = int2str(0);
        else
            loc = int2str(180+i*30);
        end
        text(-rt*cst(i),-rt*snt(i),loc,'horizontalalignment','center',...
             'handlevisibility','off','parent',cax)
    end
把两个30全部改为45即可。 

---------------------------------------------------------------------------------

t = 0:.01:2*pi;
       polar(t,sin(2*t).*cos(2*t),'--r')
set(gca,'xdir','reverse')

次函数可简单的将x轴反向。。。

---------------------------------------------------------------------------------

基本上, 若是使用polar画图好像就无法更改其相关属性!
虽然可以使用set(gca,...)更改其相关属性, 但你会发现并没有更动! 原因为误认那些标示为'XTickLabel', 其实都不是, 切入polar.m看仔细就会发现其为text产生, 所以外部更改都无效!

我试了直接更改polar.m来实现即可
% draw radial circles
    c82 = cos(82*pi/180);
    s82 = sin(82*pi/180);
    rinc = (rmax-rmin)/rticks; ppp=(rmin+rinc):rinc:rmax; [color=red]ppp=fliplr(ppp); iip=0;[/color]
    for i=(rmin+rinc):rinc:rmax
        hhh = plot(xunit*i,yunit*i,ls,'color',tc,'linewidth',1,...
                   'handlevisibility','off');[color=red] iip=iip+1;
[/color]        text((i+rinc/20)*c82,(i+rinc/20)*s82, ...
            ['  ' num2str([color=red]ppp(iip[/color][color=red])[/color])],'verticalalignment','bottom',...
            'handlevisibility','off')
    end
    set(hhh,'linestyle','-') % Make outer circle solid
------------------------

t=0:.01:2*pi;  hh=polar77(20*t,200*sin(2*t).*cos(2*t),'--r');
-----------------------

此方法提供者应该是个高手,可惜我没有尝试成功

---------------------------------------------------------------------------------

官网上提供polarlabels.m

http://www.mathworks.com/matlabc ... ge/?term=polarlabel 
http://www.chinavib.com/forum/viewthread.php?tid=74599&extra=&page=1

polarlabels([0:360]*pi/180,abs(sin([0:360]*pi/180))*10,'b',-90,10)

可实现一些简单的变化。。。似乎实现的功能不够强大

---------------------------------------------------------------------------------

有人提议polarhg.m

polarhg(theta,rho,'tdir','clockwise','rlim',[0 10], ...'rtick',[0 3 6 9],'tstep',45,'torig','up' 'color','m','linestyle',':')。这样整个图形就旋转了90度。
------------------

另外,polarhg还有个问题,当运行,比如,
>>  theta = 0:pi/5:pi;
>>   rho = 10*rand(size(theta));
>> h = polarhg(theta,rho,'torig','down','color','m','linestyle',':');
??? Output argument "H" (and maybe others) not assigned during call to "D:matlabworkpolarhg.m (polarhg)".

Error in ==> polarhg at 56
N = nargin;
-----------------------

解决问题:改第286行的num2str(Rmax-i)

暂时没有下到polarhg.m文件。。。

——-----------------------------------------------------------------------------

个人推荐直接改polar.m文档,简单易实现。。。。

 

附:

修改后的Mypolar程序如下:

function hpol = Mypolar(varargin)

    %POLAR  Polar coordinate plot.

      POLAR(THETA, RHO) makes a plot using polar coordinates of

      the angle THETA, in radians, versus the radius RHO.

      POLAR(THETA, RHO, S) uses the linestyle specified in string S.

      See PLOT for a description of legal linestyles.

    %

      POLAR(AX, ...) plots into AX instead of GCA.

    %

      H = POLAR(...) returns a handle to the plotted object in H.

    %

      Example:

         t = 0 : .01 : 2 * pi;

         polar(t, sin(2 * t) .* cos(2 * t), '--r');

    %

      See also PLOT, LOGLOG, SEMILOGX, SEMILOGY.

   

      Copyright 1984-2010 The MathWorks, Inc.

      $Revision: 5.22.4.11 $  $Date: 2011/03/09 06:59:01 $

   

    % Parse possible Axes input

    [cax, args, nargs] = axescheck(varargin{:});

    error(nargchk(1, 3, nargs, 'struct'));

   

    if nargs < 1 || nargs > 3

        error('MATLAB:polar:InvalidInput', 'Requires 2 or 3 data arguments.');

    elseif nargs == 2

        theta = args{1};

        rho = args{2};

        if ischar(rho)

            line_style = rho;

            rho = theta;

            [mr, nr] = size(rho);

            if mr == 1

                theta = 1 : nr;

            else

                th = (1 : mr)';

                theta = th(:, ones(1, nr));

            end

        else

            line_style = 'auto';

        end

    elseif nargs == 1

        theta = args{1};

        line_style = 'auto';

        rho = theta;

        [mr, nr] = size(rho);

        if mr == 1

            theta = 1 : nr;

        else

            th = (1 : mr)';

            theta = th(:, ones(1, nr));

        end

    else % nargs == 3

        [theta, rho, line_style] = deal(args{1 : 3});

    end

    if ischar(theta) || ischar(rho)

        error(message('MATLAB:polar:InvalidInputType'));

    end

    if ~isequal(size(theta), size(rho))

        error('MATLAB:polar:InvalidInput', 'THETA and RHO must be the same size.');

    end

   

    % get hold state

    cax = newplot(cax);

   

    next = lower(get(cax, 'NextPlot'));

    hold_state = ishold(cax);

   

    % get x-axis text color so grid is in same color

    tc = get(cax, 'XColor');

    ls = get(cax, 'GridLineStyle');

   

    % Hold on to current Text defaults, reset them to the

    % Axes' font attributes so tick marks use them.

    fAngle = get(cax, 'DefaultTextFontAngle');

    fName = get(cax, 'DefaultTextFontName');

    fSize = get(cax, 'DefaultTextFontSize');

    fWeight = get(cax, 'DefaultTextFontWeight');

    fUnits = get(cax, 'DefaultTextUnits');

    set(cax, ...

        'DefaultTextFontAngle', get(cax, 'FontAngle'), ...

        'DefaultTextFontName', get(cax, 'FontName'), ...

        'DefaultTextFontSize', get(cax, 'FontSize'), ...

        'DefaultTextFontWeight', get(cax, 'FontWeight'), ...

        'DefaultTextUnits', 'data');

   

    % only do grids if hold is off

    if ~hold_state

       

        % make a radial grid

        hold(cax, 'on');

        % ensure that Inf values don't enter into the limit calculation.

        arho = abs(rho(:));

        maxrho = max(arho(arho ~= Inf));

        hhh = line([-maxrho, -maxrho, maxrho, maxrho], [-maxrho, maxrho, maxrho, -maxrho], 'Parent', cax);

        set(cax, 'DataAspectRatio', [1, 1, 1], 'PlotBoxAspectRatioMode', 'auto');

        v = [get(cax, 'XLim') get(cax, 'YLim')];

        ticks = sum(get(cax, 'YTick') >= 0);

        delete(hhh);

        % check radial limits and ticks

        rmin = 0;

        rmax = v(4);

        rticks = max(ticks - 1, 2);

        if rticks > 5   % see if we can reduce the number

            if rem(rticks, 2) == 0

                rticks = rticks / 2;

            elseif rem(rticks, 3) == 0

                rticks = rticks / 3;

            end

        end

       

        % define a circle

        th = 0 : pi / 50 : 2 * pi;

        xunit = cos(th);

        yunit = sin(th);

        % now really force points on x/y axes to lie on them exactly

        inds = 1 : (length(th) - 1) / 4 : length(th);

        xunit(inds(2 : 2 : 4)) = zeros(2, 1);

        yunit(inds(1 : 2 : 5)) = zeros(3, 1);

        % plot background if necessary

        if ~ischar(get(cax, 'Color'))

            patch('XData', xunit * rmax, 'YData', yunit * rmax, ...

                'EdgeColor', tc, 'FaceColor', get(cax, 'Color'), ...

                'HandleVisibility', 'off', 'Parent', cax);

        end

       

        % draw radial circles

        c82 = cos(82 * pi / 180);

        s82 = sin(82 * pi / 180);

        rinc = (rmax - rmin) / rticks;

        for i = (rmin + rinc) : rinc : rmax

            hhh = line(xunit * i, yunit * i, 'LineStyle', ls, 'Color', tc, 'LineWidth', 1, ...

                'HandleVisibility', 'off', 'Parent', cax);

            text((i + rinc / 20) * c82, (i + rinc / 20) * s82, ...

                [ ' strcat(num2str(i),'mum')], 'VerticalAlignment', 'bottom', ...

                'HandleVisibility', 'off', 'Parent', cax);

        end

        set(hhh, 'LineStyle', '-'); % Make outer circle solid

       

        % plot spokes

        th = (1 : 6) * 2 * pi / 12;

        cst = cos(th);

        snt = sin(th);

        cs = [-cst; cst];

        sn = [-snt; snt];

        line(rmax * cs, rmax * sn, 'LineStyle', ls, 'Color', tc, 'LineWidth', 1, ...

            'HandleVisibility', 'off', 'Parent', cax);

       

        % annotate spokes in degrees

        rt = 1.1 * rmax;

        for i = 1 : length(th)

            text(rt * cst(i), rt * snt(i), strcat(int2str(i * 30),'circ'),...

                'HorizontalAlignment', 'center', ...

                'HandleVisibility', 'off', 'Parent', cax);

            if i == length(th)

                loc = int2str(0);

            else

                loc = int2str(180 + i * 30);

            end

            text(-rt * cst(i), -rt * snt(i), strcat(loc,'circ'), 'HorizontalAlignment', 'center', ...

                'HandleVisibility', 'off', 'Parent', cax);

        end

       

        % set view to 2-D

        view(cax, 2);

        % set axis limits

        axis(cax, rmax * [-1, 1, -1.15, 1.15]);

    end

   

    % Reset defaults.

    set(cax, ...

        'DefaultTextFontAngle', fAngle , ...

        'DefaultTextFontName', fName , ...

        'DefaultTextFontSize', fSize, ...

        'DefaultTextFontWeight', fWeight, ...

        'DefaultTextUnits', fUnits );

   

    % transform data to Cartesian coordinates.

    xx = rho .* cos(theta);

    yy = rho .* sin(theta);

   

    % plot data on top of grid

    if strcmp(line_style, 'auto')

        q = plot(xx, yy, 'Parent', cax);

    else

        q = plot(xx, yy, line_style, 'Parent', cax);

    end

   

    if nargout == 1

        hpol = q;

    end

   

    if ~hold_state

        set(cax, 'DataAspectRatio', [1, 1, 1]), axis(cax, 'off');

        set(cax, 'NextPlot', next);

    end

    set(get(cax, 'XLabel'), 'Visible', 'on');

    set(get(cax, 'YLabel'), 'Visible', 'on');

   

    if ~isempty(q) && ~isdeployed

        makemcode('RegisterHandle', cax, 'IgnoreHandle', q, 'FunctionName', 'polar');

    end

end

 

 

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