matlab二维矩阵可视化
1、使用imagesc函数,绘制出彩色矩阵块
matrix_data = [1,2,3;4,5,6;7,8,9]; imagesc(matrix_data);
2、原文链接
别人写的matrixplot函数
function matrixplot(data,varargin) % 根据实值矩阵绘制色块图,用丰富的颜色和形状形象的展示矩阵元素值的大小。 % % matrixplot(data) 绘制矩阵色块图,data为实值矩阵,每一个元素对应一个色块,色 % 块颜色由元素值大小决定。 % % matrixplot(data, 'PARAM1',val1, 'PARAM2',val2, ...) % 用成对出现的参数名/参数值控制色块的各项属性。可用的参数名/参数值如下: % 'FigShape' --- 设定色块的形状,其参数值为: % 'Square' --- 方形(默认) % 'Circle' --- 圆形 % 'Ellipse' --- 椭圆形 % 'Hexagon' --- 六边形 % 'Dial' --- 表盘形 % % 'FigSize' --- 设定色块的大小,其参数值为: % 'Full' --- 最大色块(默认) % 'Auto' --- 根据矩阵元素值自动确定色块大小 % % 'FigStyle' --- 设定矩阵图样式,其参数值为: % 'Auto' --- 矩形矩阵图(默认) % 'Tril' --- 下三角矩阵图 % 'Triu' --- 上三角矩阵图 % % 'FillStyle' --- 设定色块填充样式,其参数值为: % 'Fill' --- 填充色块内部(默认) % 'NoFill' --- 不填充色块内部 % % 'DisplayOpt' --- 设定是否在色块中显示矩阵元素值,其参数值为: % 'On' --- 显示矩阵元素值(默认) % 'Off' --- 不显示矩阵元素值 % % 'TextColor' --- 设定文字的颜色,其参数值为: % 表示单色的字符('r','g','b','y','m','c','w','k'),默认为黑色 % 1行3列的红、绿、蓝三元色灰度值向量([r,g,b]) % 'Auto' --- 根据矩阵元素值自动确定文字颜色 % % 'XVarNames' --- 设定X轴方向需要显示的变量名(默认为X1,X2,...),其参数值为: % 字符串矩阵或字符串元胞数组,若为字符串矩阵,其行数应与data的列数相同 % 若为字符串元胞数组,其长度应与data的列数相同。 % % 'YVarNames' --- 设定Y轴方向需要显示的变量名(默认为Y1,Y2,...),其参数值为: % 字符串矩阵或字符串元胞数组,若为字符串矩阵,其行数应与data的行数相同 % 若为字符串元胞数组,其长度应与data的行数相同。 % % 'ColorBar' --- 设定是否显示颜色条,其参数值为: % 'On' --- 显示颜色条 % 'Off' --- 不显示颜色条(默认) % % 'Grid' --- 设定是否显示网格线,其参数值为: % 'On' --- 显示网格线(默认) % 'Off' --- 不显示网格线 % % Example: % x = [1,-0.2,0.3,0.8,-0.5 % -0.2,1,0.6,-0.7,0.2 % 0.3,0.6,1,0.5,-0.3 % 0.8,-0.7,0.5,1,0.7 % -0.5,0.2,-0.3,0.7,1]; % matrixplot(x); % matrixplot(x,'DisplayOpt','off'); % matrixplot(x,'FillStyle','nofill','TextColor','Auto'); % matrixplot(x,'TextColor',[0.7,0.7,0.7],'FigShap','s','FigSize','Auto','ColorBar','on'); % matrixplot(x,'TextColor','k','FigShap','d','FigSize','Full','ColorBar','on','FigStyle','Triu'); % XVarNames = {'xiezhh','heping','keda','tust','tianjin'}; % matrixplot(x,'FigShap','e','FigSize','Auto','ColorBar','on','XVarNames',XVarNames,'YVarNames',XVarNames); % 对第一个输入参数类型进行判断 if ~ismatrix(data) || ~isreal(data) error('输入参数类型不匹配:第一个输入参数应为实值矩阵'); end % 解析成对出现的参数名/参数值 [FigShape,FigSize,FigStyle,FillStyle,DisplayOpt,TextColor,XVarNames,... YVarNames,ColorBar,GridOpt] = parseInputs(varargin{:}); % 产生网格数据 [m,n] = size(data); [x,y] = meshgrid(0:n,0:m); data = data(:); maxdata = nanmax(data); mindata = nanmin(data); rangedata = maxdata - mindata; if isnan(rangedata) warning('MATLAB:warning1','请检查您输入的矩阵是否合适!'); return; end z = zeros(size(x))+0.2; sx = x(1:end-1,1:end-1)+0.5; sy = y(1:end-1,1:end-1)+0.5; if strncmpi(FigStyle,'Tril',4) z(triu(ones(size(z)),2)>0) = NaN; sx(triu(ones(size(sx)),1)>0) = NaN; elseif strncmpi(FigStyle,'Triu',4) z(tril(ones(size(z)),-2)>0) = NaN; sx(tril(ones(size(sx)),-1)>0) = NaN; end sx = sx(:); sy = sy(:); id = isnan(sx) | isnan(data); sx(id) = []; sy(id) = []; data(id) = []; if isempty(XVarNames) XVarNames = strcat('X',cellstr(num2str((1:n)'))); else if (iscell(XVarNames) && (numel(XVarNames) ~= n)) || (~iscell(XVarNames) && (size(XVarNames,1) ~= n)) error('X轴方向变量名应为字符串矩阵或字符串元胞数组,其长度与输入矩阵的列数相同'); end end if isempty(YVarNames) YVarNames = strcat('Y',cellstr(num2str((1:m)'))); else if (iscell(YVarNames) && (numel(YVarNames) ~= m)) || (~iscell(YVarNames) && (size(YVarNames,1) ~= m)) error('Y轴方向变量名应为字符串矩阵或字符串元胞数组,其长度与输入矩阵的行数相同'); end end % 绘图 figure('color','w',... 'units','normalized',... 'pos',[0.289165,0.154948,0.409956,0.68099]); axes('units','normalized','pos',[0.1,0.022,0.89,0.85]); if strncmpi(GridOpt,'On',2) mesh(x,y,z,... 'EdgeColor',[0.7,0.7,0.7],... 'FaceAlpha',0,... 'LineWidth',1); % 参考网格线 end hold on; axis equal; axis([-0.1,n+0.1,-0.1,m+0.1,-0.5,0.5]); view(2); % 设置X轴和Y轴刻度位置及标签 set(gca,'Xtick',(1:n)-0.5,... 'XtickLabel',XVarNames,... 'Ytick',(1:m)-0.5,... 'YtickLabel',YVarNames,... 'XAxisLocation','top',... 'YDir','reverse',... 'Xcolor',[0.7,0.7,0.7],... 'Ycolor',[0.7,0.7,0.7],... 'TickLength',[0,0]); axis off % 绘制填充色块 if strncmpi(FillStyle,'Fill',3) MyPatch(sx',sy',data',FigShape,FigSize); end % 显示数值文本信息 if strncmpi(DisplayOpt,'On',2) str = num2str(data,'%4.2f'); scale = 0.1*max(n/m,1)/(max(m,n)^0.55); if strncmpi(TextColor,'Auto',3) ColorMat = get(gcf,'ColorMap'); nc = size(ColorMat,1); cid = fix(mapminmax(data',0,1)*nc)+1; cid(cid<1) = 1; cid(cid>nc) = nc; TextColor = ColorMat(cid,:); for i = 1:numel(data) text(sx(i),sy(i),0.1,str(i,:),... 'FontUnits','normalized',... 'FontSize',scale,... 'fontweight','bold',... 'HorizontalAlignment','center',... 'Color',TextColor(i,:)); end else text(sx,sy,0.1*ones(size(sx)),str,... 'FontUnits','normalized',... 'FontSize',scale,... 'fontweight','bold',... 'HorizontalAlignment','center',... 'Color',TextColor); end end % 设置X轴和Y轴刻度标签的缩进方式 MyTickLabel(gca,FigStyle); % 添加颜色条 if strncmpi(ColorBar,'On',2) if any(strncmpi(FigStyle,{'Auto','Triu'},4)) colorbar('Location','EastOutside'); else colorbar('Location','SouthOutside'); end end end % --------------------------------------------------- % 调整坐标轴刻度标签子函数 % --------------------------------------------------- function MyTickLabel(ha,tag) % 根据显示范围自动调整坐标轴刻度标签的函数 % ha 坐标系句柄值 % tag 调整坐标轴刻度标签的标识字符串,可用取值如下: % 'Auto' --- 将x轴刻度标签旋转90度,y轴刻度标签不作调整 % 'Tril' --- 将x轴刻度标签旋转90度,并依次缩进,y轴刻度标签不作调整 % 'Triu' --- 将x轴刻度标签旋转90度,y轴刻度标签依次缩进 % Example: % MyTickLabel(gca,'Tril'); if ~ishandle(ha) warning('MATLAB:warning2','第一个输入参数应为坐标系句柄'); return; end if ~strcmpi(get(ha,'type'),'axes') warning('MATLAB:warning3','第一个输入参数应为坐标系句柄'); return; end axes(ha); xstr = get(ha,'XTickLabel'); xtick = get(ha,'XTick'); xl = xlim(ha); ystr = get(ha,'YTickLabel'); ytick = get(ha,'YTick'); yl = ylim(ha); set(ha,'XTickLabel',[],'YTickLabel',[]); x = zeros(size(ytick)) + xl(1) - range(xl)/30; y = zeros(size(xtick)) + yl(1) - range(yl)/70; nx = numel(xtick); ny = numel(ytick); if strncmpi(tag,'Tril',4) y = y + (1:nx) - 1; elseif strncmpi(tag,'Triu',4) x = x + (1:ny) - 1; end text(xtick,y,xstr,... 'rotation',90,... 'Interpreter','none',... 'color','r',... 'HorizontalAlignment','left'); text(x,ytick,ystr,... 'Interpreter','none',... 'color','r',... 'HorizontalAlignment','right'); end % --------------------------------------------------- % 根据散点数据绘制3维色块图子函数 % --------------------------------------------------- function MyPatch(x,y,z,FigShape,FigSize) % 根据散点数据绘制3维色块图 % MyPatch(x,y,z,FigShape,FigSize) x,y,z是实值数组,用来指定色块中心点三维 % 坐标。FigShape是字符串变量,用来指定色块形状。 % FigSize是字符串变量,用来指定色块大小。 % % Example: % x = rand(10,1); % y = rand(10,1); % z = rand(10,1); % MyPatch(x,y,z,'s','Auto'); % % 输入参数类型判断 if nargin < 3 error('至少需要三个输入参数'); end if ~isreal(x) || ~isreal(y) || ~isreal(z) error('前三个输入应为实值数组'); end n = numel(z); if numel(x) ~= n || numel(y) ~= n error('坐标应等长'); end if strncmpi(FigSize,'Auto',3) && ~strncmpi(FigShape,'Ellipse',1) id = (z == 0); x(id) = []; y(id) = []; z(id) = []; end if isempty(z) return; end % 求色块顶点坐标 rab1 = ones(size(z)); maxz = max(abs(z)); if maxz == 0 maxz = 1; end rab2 = abs(z)/maxz; if strncmpi(FigShape,'Square',1) % 方形 if strncmpi(FigSize,'Full',3) r = rab1; else r = sqrt(rab2); end SquareVertices(x,y,z,r); elseif strncmpi(FigShape,'Circle',1) % 圆形 if strncmpi(FigSize,'Full',3) r = 0.5*rab1; else r = 0.5*sqrt(rab2); end CircleVertices(x,y,z,r); elseif strncmpi(FigShape,'Ellipse',1) % 椭圆形 a = 0.48 + rab2*(0.57-0.48); b = (1-rab2).*a; EllipseVertices(x,y,z,a,b); elseif strncmpi(FigShape,'Hexagon',1) % 六边形 if strncmpi(FigSize,'Full',3) r = 0.5*rab1; else r = 0.5*sqrt(rab2); end HexagonVertices(x,y,z,r); else % 表盘形 if strncmpi(FigSize,'Full',3) r = 0.45*rab1; else r = 0.45*sqrt(rab2); end DialVertices(x,y,z,r); end end %-------------------------------------------------- % 求色块顶点坐标并绘制色块的子函数 %-------------------------------------------------- function SquareVertices(x,y,z,r) % 方形 hx = r/2; hy = hx; Xp = [x-hx;x-hx;x+hx;x+hx;x-hx]; Yp = [y-hy;y+hy;y+hy;y-hy;y-hy]; Zp = repmat(z,[5,1]); patch(Xp,Yp,Zp,'FaceColor','flat','EdgeColor','flat'); end function CircleVertices(x,y,z,r) % 圆形 t = linspace(0,2*pi,30)'; m = numel(t); Xp = repmat(x,[m,1])+cos(t)*r; Yp = repmat(y,[m,1])+sin(t)*r; Zp = repmat(z,[m,1]); patch(Xp,Yp,Zp,'FaceColor','flat','EdgeColor','flat'); end function EllipseVertices(x,y,z,a,b) % 椭圆形 t = linspace(0,2*pi,30)'; m = numel(t); t0 = -sign(z)*pi/4; t0 = repmat(t0,[m,1]); x0 = cos(t)*a; y0 = sin(t)*b; Xp = repmat(x,[m,1]) + x0.*cos(t0) - y0.*sin(t0); Yp = repmat(y,[m,1]) + x0.*sin(t0) + y0.*cos(t0); Zp = repmat(z,[m,1]); patch(Xp,Yp,Zp,'FaceColor','flat','EdgeColor','flat'); end function HexagonVertices(x,y,z,r) % 六边形 t = linspace(0,2*pi,7)'; m = numel(t); Xp = repmat(x,[m,1])+cos(t)*r; Yp = repmat(y,[m,1])+sin(t)*r; Zp = repmat(z,[m,1]); patch(Xp,Yp,Zp,'FaceColor','flat','EdgeColor','flat'); end function DialVertices(x,y,z,r) % 表盘形 % 绘制表盘扇形 maxz = max(abs(z)); t0 = z*2*pi/maxz-pi/2; t0 = cell2mat(arrayfun(@(x)linspace(-pi/2,x,30)',t0,'UniformOutput',0)); m = size(t0,1); r0 = repmat(r,[m,1]); Xp = [x;repmat(x,[m,1]) + r0.*cos(t0);x]; Yp = [y;repmat(y,[m,1]) + r0.*sin(t0);y]; Zp = repmat(z,[m+2,1]); patch(Xp,Yp,Zp,'FaceColor','flat','EdgeColor',[0,0,0]); % 绘制表盘圆周 t = linspace(0,2*pi,30)'; m = numel(t); Xp = repmat(x,[m,1])+cos(t)*r; Yp = repmat(y,[m,1])+sin(t)*r; Zp = repmat(z,[m,1]); Xp = [Xp;flipud(Xp)]; Yp = [Yp;flipud(Yp)]; Zp = [Zp;flipud(Zp)]; patch(Xp,Yp,Zp,'FaceColor','flat','EdgeColor',[0,0,0]); end %-------------------------------------------------------------------------- % 解析输入参数子函数1 %-------------------------------------------------------------------------- function [FigShape,FigSize,FigStyle,FillStyle,DisplayOpt,TextColor,... XVarNames,YVarNames,ColorBar,GridOpt] = parseInputs(varargin) if mod(nargin,2)~=0 error('输入参数个数不对,应为成对出现'); end pnames = {'FigShape','FigSize','FigStyle','FillStyle','DisplayOpt',... 'TextColor','XVarNames','YVarNames','ColorBar','Grid'}; dflts = {'Square','Full','Auto','Fill','On','k','','','Off','On'}; [FigShape,FigSize,FigStyle,FillStyle,DisplayOpt,TextColor,XVarNames,... YVarNames,ColorBar,GridOpt] = parseArgs(pnames, dflts, varargin{:}); validateattributes(FigShape,{'char'},{'nonempty'},mfilename,'FigShape'); validateattributes(FigSize,{'char'},{'nonempty'},mfilename,'FigSize'); validateattributes(FigStyle,{'char'},{'nonempty'},mfilename,'FigStyle'); validateattributes(FillStyle,{'char'},{'nonempty'},mfilename,'FillStyle'); validateattributes(DisplayOpt,{'char'},{'nonempty'},mfilename,'DisplayOpt'); validateattributes(TextColor,{'char','numeric'},{'nonempty'},mfilename,'TextColor'); validateattributes(XVarNames,{'char','cell'},{},mfilename,'XVarNames'); validateattributes(YVarNames,{'char','cell'},{},mfilename,'YVarNames'); validateattributes(ColorBar,{'char'},{'nonempty'},mfilename,'ColorBar'); validateattributes(GridOpt,{'char'},{'nonempty'},mfilename,'Grid'); if ~any(strncmpi(FigShape,{'Square','Circle','Ellipse','Hexagon','Dial'},1)) error('形状参数只能为Square, Circle, Ellipse, Hexagon, Dial 之一'); end if ~any(strncmpi(FigSize,{'Full','Auto'},3)) error('图形大小参数只能为Full, Auto 之一'); end if ~any(strncmpi(FigStyle,{'Auto','Tril','Triu'},4)) error('图形样式参数只能为Auto, Tril, Triu 之一'); end if ~any(strncmpi(FillStyle,{'Fill','NoFill'},3)) error('图形填充样式参数只能为Fill, NoFill 之一'); end if ~any(strncmpi(DisplayOpt,{'On','Off'},2)) error('显示数值参数只能为On,Off 之一'); end if ~any(strncmpi(ColorBar,{'On','Off'},2)) error('显示颜色条参数只能为On,Off 之一'); end if ~any(strncmpi(GridOpt,{'On','Off'},2)) error('显示网格参数只能为On,Off 之一'); end end %-------------------------------------------------------------------------- % 解析输入参数子函数2 %-------------------------------------------------------------------------- function [varargout] = parseArgs(pnames,dflts,varargin) % Copyright 2010-2011 The MathWorks, Inc. % $Revision: 1.1.6.2 $ $Date: 2011/05/09 01:27:26 $ % Initialize some variables nparams = length(pnames); varargout = dflts; setflag = false(1,nparams); unrecog = {}; nargs = length(varargin); dosetflag = nargout>nparams; dounrecog = nargout>(nparams+1); % Must have name/value pairs if mod(nargs,2)~=0 m = message('stats:internal:parseArgs:WrongNumberArgs'); throwAsCaller(MException(m.Identifier, '%s', getString(m))); end % Process name/value pairs for j=1:2:nargs pname = varargin{j}; if ~ischar(pname) m = message('stats:internal:parseArgs:IllegalParamName'); throwAsCaller(MException(m.Identifier, '%s', getString(m))); end mask = strncmpi(pname,pnames,length(pname)); % look for partial match if ~any(mask) if dounrecog % if they've asked to get back unrecognized names/values, add this % one to the list unrecog((end+1):(end+2)) = {varargin{j} varargin{j+1}}; continue else % otherwise, it's an error m = message('stats:internal:parseArgs:BadParamName',pname); throwAsCaller(MException(m.Identifier, '%s', getString(m))); end elseif sum(mask)>1 mask = strcmpi(pname,pnames); % use exact match to resolve ambiguity if sum(mask)~=1 m = message('stats:internal:parseArgs:AmbiguousParamName',pname); throwAsCaller(MException(m.Identifier, '%s', getString(m))); end end varargout{mask} = varargin{j+1}; setflag(mask) = true; end % Return extra stuff if requested if dosetflag varargout{nparams+1} = setflag; if dounrecog varargout{nparams+2} = unrecog; end end end