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在matlab 画箭头  

2012-05-21 17:15:34|  分类: 专业相关 |  标签: |举报 |字号 订阅

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ARROW3   EXAMPLES   (R13)
Two-dimensional Quiver Plots
Example 1.
Example 2.
Example 3.
Three-Dimensional Quiver Plots
Example 4.
Example 5.
Cone Plots
Example 6.
Example 7.
Feather Plots
Example 8.
Example 9.
Compass Plots
Example 10.
Example 11.
Reference Frames
Example 12.
Example 13.
Example 14.
Named Colors
Example 15.
Update (Modify and Restore)

Example 16.
Two-Dimensional Quiver Plots
Example 1. (cf. Joukowski Airfoil Transformation)
t=10*pi/180; u=0.1; v=0.1; r=1.1; tol=8e-2;
s=u i*v; k=2*r*sin(t); w=exp(i*t);
[x,y]=meshgrid(-2.5:0.1:3.5,-3:0.1:3);
z=x i*y; z(abs(z-s)<r-tol)=NaN;
f=w*z exp(-i*t)*r^2./(z-s) i*k*log(z);
a=0:0.1:2*pi; zc=r*(cos(a) i*sin(a)) s;
c1=-1.5; c2=2.5; c3=c2-c1;
c=contour(x,y,imag(f),c1:c3/16:c2);
set(gca,'color',0.5*[1 1 1])
hold on, daspect([1 1 1])
fill(real(zc),imag(zc),'y'), colorbar
map=get(gcf,'colormap');
domain=0:1/(size(map,1)-1):1; m=1;
while m<length(c), n=m c(2,m);
if c(2,m)>9, p=c(:,m 1:n)';
    if p(end,1)>p(1,1), p=flipud(p); end
    ndx=10:10:length(p);
    p2=p(ndx,:); p1=p(ndx-3,:);
    cc=interp1(domain,map,(c(1,m)-c1)/c3);
    set(gca,'ColorOrder',cc)
    arrow3(p1,p2,'0o',0.8)
end, m=n 1;
end, hold off
Example 1. Joukowski Airfoil Transformation
Example 1.
Example 2. (cf. Quiver)
[x,y]=meshgrid(-1:1/21:1);
z=x.*exp(-x.^2-y.^2);
[c,h]=contour(x,y,z);
set(h,'EdgeColor',0.45*[1 1 1])
ndx=1:3:length(x);
x=x(ndx,ndx); y=y(ndx,ndx); z=z(ndx,ndx);
[u,v]=gradient(z,1/7);
p1=[x(:),y(:)]; u=u(:); v=v(:);
m=abs(u i*v); % gradient magnitude
daspect([1 1 1]), set(gca,'color',0.3*[1 1 1])
hold on, colormap hot, scale=0.4;
arrow3(p1,p1 scale*[u,v],'|',min(1.25*m,0.85))
hold off, h=colorbar;
set(h,'YTickLabel',num2str(str2num(get(h,...
'YTickLabel'))/scale))
Example 2. Surface Gradients
Example 2.
Example 3. (cf. Two-Dimensional Quiver Plots)
[x,y,z]=peaks(-2:0.05:2);
contour(x,y,z,10); h=gca;
ndx=1:4:length(x);
x=x(ndx,ndx); y=y(ndx,ndx); z=z(ndx,ndx);
[u,v]=gradient(z,0.2);
p1=[x(:),y(:)]; u=u(:); v=v(:);
m=abs(u i*v); % gradient magnitude
hold on, daspect([1 1 1]), scale=0.025;
arrow3(p1,p1 scale*[u,v],'|',0.9*m/max(m))
hold off, title('Dual Colormap')
h1=colorbar; h2=copyobj(h1,gcf);
set(h,'color',0.4*[1 1 1],...
'position',get(h,'position') [0.05 0 0 0])
% ----------------------------------------------------- Right Colorbar
p=get(h1,'position');
set(h1,'position',[0.87,p(2),0.05,p(4)],...
'YTickLabel',num2str(str2num(get(h1,...
'YTickLabel'))/scale))                               % freeze labels
map=colormap; cdata=reshape(map,size(map,1),1,3);
set(get(h1,'children'),'cdata',cdata)              % freeze colors
set(get(h1,'title'),'string','Gradient')
% ------------------------------------------------------ Left Colorbar
caxis auto, colorbar, colormap autumn
set(h2,'YAxisLocation','left',...
'position',[0.08,p(2),0.05,p(4)])
set(get(h2,'title'),'string','Contour')
Example 3. Dual Colormap
Example 3.
Three-Dimensional Quiver Plots
Example 4. (cf. Quiver3)
[x,y]=meshgrid(-2:0.25:2,-1:0.25:1);
z=x.*exp(-x.^2-y.^2);
surf(x,y,z,'EdgeColor','none')
axis([-2.5 2.5 -1.5 1.5 -1 1]), daspect([1 1 1])
set(gca,'CameraViewAngle',7)
[u,v,w]=surfnorm(x,y,z);
p1=[x(:),y(:),z(:)]; N=[u(:),v(:),w(:)];
hold on
arrow3(p1,p1 0.5*N,'1.5_b')
hold off, colormap spring
light('position',[-1 -1 -1],'style','local')
light('position',[0 1 1]), lighting gouraud
Example 4. Surface Normals
Example 4.
Example 5. (cf. Three-Dimensional Quiver Plots)
vx=2; vy=3; vz=10; a=-32; t=(0:.1:1)';
x=vx*t; y=vy*t; z=vz*t 1/2*a*t.^2;
r=[x,y,z]; v=gradient(r')';
axis([0 3 0 4 -10 2]), pbaspect([2 1 1])
hold on, grid on, view([70 18])
arrow3(r,r v,'b',0.9)
hold off
Example 5. Velocity Vectors
Example 5.
Cone Plots
Example 6. (cf. Coneplot)
load wind, wind_speed=sqrt(u.^2 v.^2 w.^2);
xmin=min(x(:)); xmax=max(x(:));
ymin=min(y(:)); ymax=max(y(:));
zmin=min(z(:));
hsurfaces=slice(x,y,z,wind_speed,[xmin,xmax],ymax,zmin);
set(hsurfaces,'FaceColor','interp','EdgeColor','none',...
              'AmbientStrength',0.6)
hold on, daspect([2,2,1]), view(30,40), axis tight
xrange=linspace(xmin,xmax,8);
yrange=linspace(ymin,ymax,8);
[cx cy cz]=meshgrid(xrange,yrange,3:4:15);
ui=interp3(x,y,z,u,cx,cy,cz);
vi=interp3(x,y,z,v,cx,cy,cz);
wi=interp3(x,y,z,w,cx,cy,cz);
m=sqrt(ui.^2 vi.^2 wi.^2); m=m(:)/30;
p1=[cx(:),cy(:),cz(:)]; p2=[ui(:),vi(:),wi(:)];
hcones=arrow3(p1,p2,'r',m,3*m,'cone');
set(hcones,'DiffuseStrength',0.8)
hold off, axis off
camproj perspective, camzoom(1.2)
camlight right, lighting phong
Example 6. Wind Speed and Direction
Example 6.
Example 7. (cf. Vector Field Displayed with Cone Plots)
load wind, wind_speed=sqrt(u.^2 v.^2 w.^2);
hiso=patch(isosurface(x,y,z,wind_speed,40),...
          'FaceColor','red','EdgeColor','none');
isonormals(x,y,z,wind_speed,hiso)
hcap=patch(isocaps(x,y,z,wind_speed,40),...
          'FaceColor','interp','EdgeColor','none',...
          'AmbientStrength',0.6);
hold on, colormap hsv, daspect([1,1,1]), view(65,45)
[f verts]=reducepatch(isosurface(x,y,z,wind_speed,30),0.07);
cx=verts(:,1); cy=verts(:,2); cz=verts(:,3);
ui=interp3(x,y,z,u,cx,cy,cz);
vi=interp3(x,y,z,v,cx,cy,cz);
wi=interp3(x,y,z,w,cx,cy,cz);
m=sqrt(ui.^2 vi.^2 wi.^2); m=m(:)/40;
p1=[cx(:),cy(:),cz(:)]; p2=[ui(:),vi(:),wi(:)];
h1=arrow3(p1,p2,'b',m,3*m,'cone');
xrange=linspace(min(x(:)),max(x(:)),10);
yrange=linspace(min(y(:)),max(y(:)),10);
[cx,cy,cz]=meshgrid(xrange,yrange,3:4:15);
ui=interp3(x,y,z,u,cx,cy,cz);
vi=interp3(x,y,z,v,cx,cy,cz);
wi=interp3(x,y,z,w,cx,cy,cz);
m=sqrt(ui.^2 vi.^2 wi.^2); m=m(:)/50;
p1=[cx(:),cy(:),cz(:)]; p2=[ui(:),vi(:),wi(:)];
h2=arrow3(p1,p2,'g',m,3*m,'cone');
hold off, axis tight, box on
set(gca,'xtick',[],'ytick',[],'ztick',[])
camproj perspective, camzoom(1.2)
camlight(-45,45), lighting phong
Example 7. Wind Speed and Direction
Example 7.
Feather Plots
Example 8. (cf. Feather)
theta=(-90:10:90)'*pi/180;
n=length(theta); p1=[1:n;zeros(1,n)]';
r=2*ones(n,1); [u,v]=pol2cart(theta,r);
plot([1 n],[0 0],'r')
axis([0 20 -2 2]), daspect([8 2 1])
hold on, grid on
arrow3(p1,p1 [u,v],'r',0.9)
hold off
Example 8. Feather Plot
Example 8.
Example 9. (cf. Plotting Complex Numbers)
t=(0:0.5:10)'; s=0.05 i; Z=exp(-s*t);
n=length(Z); p1=[1:n;zeros(1,n)]';
plot([1 n],[0 0],'b')
axis([0 22 -1 1]), daspect([8 1 1])
hold on, grid on
arrow3(p1,p1 [real(Z),imag(Z)],'b',0.8)
hold off
Example 9. Complex Number Plot
Example 9.
Compass Plots
Example 10. (cf. Compass Plots)
wdir =[45 90 90 45 360 335 360 270 335 270 335 335];
knots=[ 6 6 8 6   5   9   8   8   9 10 14 12];
[x,y]=pol2cart(wdir*pi/180,knots);
polar(0,15), axis(15.9*[-1 1 -1 1])
hold on
arrow3(zeros(length(x),2),[x',y'],'r',1.25)
hold off
Example 10. Wind Speed and Direction
Example 10.
Example 11. (cf. Compass)
Z=eig(randn(20)); m=abs(Z);
R=ceil(max(m)); r=R 0.3;
polar(0,R), axis(r*[-1 1 -1 1])
hold on
arrow3(zeros(length(Z),2),[real(Z),imag(Z)],'b',1.75*m/R)
hold off
Example 11. Complex Number Plot
Example 11.
Reference Frames
Example 12. Coordinate Axes
p=[4 2 1]; axis([-6 6 0 5 -1 1])
pbaspect([2 1.5 1]), view(55,15)
hold on
arrow3(repmat([p(1:2),0],4,1),...
[0 p(2) 0;p(1) 0 0;p;0 0 0],'--o',0,0,0.5)
arrow3(zeros(3),diag([7,5,1]),'o')
arrow3([0 0 0],p,'2.5s',1.5,[],0)
hold off, axis off, camlight left
set(gca,'CameraViewAngle',4)
text(7.1,0,0,'X'), text(0,5.05,0,'Y')
text(0,0,1,'Z','VerticalAlignment','bottom',...
'HorizontalAlignment','center')
Example 12. Coordinate Axes
Example 12.
Example 13. Eigenvectors
n=500; % generate test data
newz=[ 1 1 1]/sqrt(3);
newy=[ 0 -1 1]/sqrt(2);
newx=cross(newy,newz);
R=[newx;newy;newz]; % rotation matrix
U=randn(n,3)*diag([1,2,3])*R;
u=U(:,1) 10; v=U(:,2) 20; w=U(:,3) 30;
% plot eigenvectors with mean origin
plot3(u,v,w,'r.')
axis([0 20 10 29 20 40]), daspect([1 1 1])
view([-70,15]), set(gca,'CameraViewAngle',8)
hold on, grid on
mu=repmat(mean([u,v,w]),3,1);
[V,D]=eig(cov([u,v,w]));
p=9*V' mu;
arrow3(mu,p,[],1.25,[],0)
p=p ones(3);
text(p(1,1),p(1,2),p(1,3),'\bfU')
text(p(2,1),p(2,2),p(2,3),'\bfV')
text(p(3,1),p(3,2),p(3,3),'\bfW')
hold off
Example 13. Eigenvectors
Example 13.
Example 14. (cf. Frenet)
z=(0:2/99:2)'; t=2*pi*z; r=2 z;
x=r.*cos(t); y=r.*sin(t);
R=[x,y,z]; dR=gradient(R')';
m=repmat(sqrt(sum(dR.*dR,2)),1,3);
T=dR./m; dT=gradient(T')';
m=repmat(sqrt(sum(dT.*dT,2)),1,3);
N=dT./m; B=cross(T,N);
plot3(x,y,z,'color',0.5*[1 1 1])
axis([-4 4 -4 4 0 2.5])
hold on, grid on, pbaspect([1 1 1])
set(gca,'CameraViewAngle',7)
plot3(0,0,0,'r'), plot3(0,0,0,'color',[0 0.5 0])
plot3(0,0,0,'b')
legend('Curve','Tangent','Normal','Binormal',2)
ndx=1:4:length(x); R=R(ndx,:);
arrow3(R,R 1.4*T(ndx,:),'r',0.9)
arrow3(R,R 1.4*N(ndx,:),'e',0.9)
arrow3(R,R 0.4*B(ndx,:),'b',0.9)
hold off, view(-50,5)
set(gcf,'renderer','zbuffer')
Example 14. Frenet Frames
Example 14.
Named Colors
Example 15. Named Color Table
arrow3('colors',0.4) % 24 named colors with 44 adjustable shades
Example 15. Named Color Table
Example 15.
Color Equivalencies ColorOrder            Arrow3 Simulink          Arrow3 Color1 Blue LightBlue aZure Color2 Evergreen DarkGreen Asparagus Color3 Red Orange kumQuat Color4 Sky blue Gray Light gray Color5 Violet Color6 Pear Color7 Dark gray

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