how can I plot the contours inside not outside?

Question

Shreen El-Sapa 2023년 8월 16일

0
링크

이 질문에 대한 바로 가기 링크

https://kr.mathworks.com/matlabcentral/answers/2009367-how-can-i-plot-the-contours-inside-not-outside

댓글: Star Strider 2023년 8월 16일

untitled.fig

MATLAB Online에서 열기

clc

A =[ 0.506207

-1.175631

3.791971

-8.367277

15.218631

-24.775942

37.354122

-53.596046

73.775154

-98.864357

128.993118

-165.690033

208.780502

-260.760254

320.860199

-393.309998

476.185974

-576.973877

691.446899

-833.655273

994.502441

-1202.786865

1438.045410

-1768.520142

2142.382813

-2773.383545

3490.939697

-5789.086914

8474.064453

-4602.666992];

B=[ -1.898113

1.420040

-2.795280

4.554918

-6.620665

9.012413

-11.705348

14.778024

-18.184662

22.053255

-26.295725

31.114862

-36.357929

42.347446

-48.827950

56.320488

-64.398186

73.929947

-84.185623

96.693771

-110.143478

127.466537

-146.105637

172.564941

-201.088440

250.779495

-304.517883

487.777771

-690.493896

363.089630];

C=[ -4.395421

7.855587

-14.091352

13.265227

-8.180313

3.734594

-1.344997

0.401312

-0.101679

0.022491

-0.004390

0.000771

-0.000122

0.000018

-0.000002

0.000000

0.000000];

AA=[ 0.239048

0.007455

-0.001080

0.000172

-0.000024

0.000003

0.000000

0.000000];

BB=[ -0.000673

-0.000037

0.000007

-0.000001

0.000000

0.000000];

CC=[ 0.000000

0.000000

-0.000001

0.000003

-0.000010

0.000012];

a = 1 ; %RADIUS

L=.5;

akm=2;gamma=0.3;arh=10; %beta1=beta2=1,a1=1,a2=2,arh=10,delta=0.5,u2=-1

alphaa=sqrt(((2+akm).*akm./(gamma.*(2+akm))).^2+arh.^2);

betaa=(2.*akm.*arh.^2./gamma).^(0.25);

alpha1=sqrt((alphaa.^2+sqrt(alphaa.^4-4.*betaa.^4))./2);

alpha2=sqrt((alphaa.^2-sqrt(alphaa.^4-4.*betaa.^4))./2);

dd=.6;

c =-a/L;

b =2; %a/L;

m =a*200; % NUMBER OF INTERVALS

[x,y]=meshgrid((dd:(b-c)/m:b),(0:(b-c)/m:b)');

[I, J]=find(sqrt(x.^2+y.^2)<(a-0.1));

if ~isempty(I)

x(I,J) = 0; y(I,J) = 0;

end

r=sqrt(x.^2+y.^2);

t=atan2(y,x);

r2=sqrt(r.^2+dd.^2-2.*r.*dd.*cos(t));

zet=(r.^2-r2.^2-dd.^2)./(2.*r2.*dd);

warning on

psi1=0;

for i=2:7

Ai=A(i-1);Bi=B(i-1);Ci=C(i-1);AAi=AA(i-1);BBi=BB(i-1);CCi=CC(i-1);

%psi1=-psi1-(Ai.*r.^(-i-1)+r.^(-3./2).*besselk(i-1./2,r.*alpha1).*Bi+r.^(-3./2).*besselk(i-1./2,r.*alpha2).*Ci).*legendreP(i-1,cos(t))-(AAi.*r2.^(-i-1)+r2.^(-3./2).*besselk(i-1./2,r2.*alpha1).*BBi+r2.^(1./2).*besselk(i-1./2,r2.*alpha2).*CCi).*legendreP(i-1,zet);

psi1=psi1+(Ai.*r.^(-i+1)+r.^(1./2).*besselk(i-1./2,r.*alpha1).*Bi+r.^(1./2).*besselk(i-1./2,r.*alpha2).*Ci).*gegenbauerC(i,-1./2, cos(t))+(AAi.*r2.^(-i+1)+r2.^(1./2).*besselk(i-1./2,r2.*alpha1).*BBi+r2.^(1./2).*besselk(i-1./2,r2.*alpha2).*CCi).*gegenbauerC(i,-1./2,zet);

end

hold on

[DH1,h1]=contour(x,y,psi1,25,'--r','LineWidth',1.1); %,psi2,'--k',psi2,':k'

%[DH1,h1]=contour(x,y,psi1);

%p1=contour(x,y,psi1,[0.01 0.01],'k','LineWidth',1.1); %,'ShowText','on'

%p2=contour(x,y,psi1,[0.05 .05],'r','LineWidth',1.1);

%p3=contour(x,y,psi1,[0.1 0.1],'g','LineWidth',1.1);

%p4=contour(x,y,psi1,[0.4 0.4],'b','LineWidth',1.1);

%p5=contour(x,y,psi1,[0.6 0.6],'c','LineWidth',1.1);

%p6=contour(x,y,psi1,[0.8 0.8],'m','LineWidth',1.1);

%clabel(DH1,h1,'FontSize',10,'Color','red')

%%%%%%%%%%%%%%% $\frac{\textstyle a_1+a_2}{\textstyle h}=6.0,\;

hold on

t3 = linspace(0,pi,1000);

h2=0;

k2=0;

rr2=2;

x2 = rr2*cos(t3)+h2;

y2 = rr2*sin(t3)+k2;

set(plot(x2,y2,'-k'),'LineWidth',1.1);

fill(x2,y2,'w')

hold on

t2 = linspace(0,pi,1000);

h=dd;

k=0;

rr=1;

x1 = rr*cos(t2)+h;

y1 = rr*sin(t2)+k;

set(plot(x1,y1,'-k'),'LineWidth',1.1);

fill(x1,y1,'w')

%axis square;

axis('equal')

box on

%set(gca,'XTick',[], 'YTick', [])

axis on

xticklabels([])

yticklabels([])

%legend('0.01','0.05','0.1','0.4','0.6','0.8','Location','northwest')

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Answer 1

Star Strider 2023년 8월 16일

0
링크

이 답변에 대한 바로 가기 링크

https://kr.mathworks.com/matlabcentral/answers/2009367-how-can-i-plot-the-contours-inside-not-outside#answer_1288512

MATLAB Online에서 열기

untitled.fig

What result do you want?

Try this —

figure

F = openfig('untitled.fig');

Lines = findobj(F, 'Type','line');

for k = 1:numel(Lines)

L{k}(1,:) = Lines(k).XData;

L{k}(2,:) = Lines(k).YData;

end

hold on

patch([L{1}(1,:) flip(L{2}(1,:))], [L{1}(2,:) flip(L{2}(2,:))], 'g', 'FaceAlpha',0.5)

hold off

The red dashed lines do not appear as ‘line’ objects in the .fig file. (I do not know what else they could be.) I do not see any plot or contour calls in the code that specifically plot them, either.

.

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Star Strider 2023년 8월 16일

MATLAB Online에서 열기

Commenting this line:

fill(x2,y2,'w')

to:

% fill(x2,y2,'w')

will show the red dashed-line contours betweeen the two black curves. Do the same to the other fill call to show all of them.

To show them only between the two curves, add:

patch([x2 flip(x2)], [y2 ones(size(y2))*max(ylim)], 'w')

at the end. (I added it, commented-out so it will not execute. Un-comment it if you want to use it, or simply delete it if you do not want to use it.)

Try this —

A =[ 0.506207

-1.175631

3.791971

-8.367277

15.218631

-24.775942

37.354122

-53.596046

73.775154

-98.864357

128.993118

-165.690033

208.780502

-260.760254

320.860199

-393.309998

476.185974

-576.973877

691.446899

-833.655273

994.502441

-1202.786865

1438.045410

-1768.520142

2142.382813

-2773.383545

3490.939697

-5789.086914

8474.064453

-4602.666992];

B=[ -1.898113

1.420040

-2.795280

4.554918

-6.620665

9.012413

-11.705348

14.778024

-18.184662

22.053255

-26.295725

31.114862

-36.357929

42.347446

-48.827950

56.320488

-64.398186

73.929947

-84.185623

96.693771

-110.143478

127.466537

-146.105637

172.564941

-201.088440

250.779495

-304.517883

487.777771

-690.493896

363.089630];

C=[ -4.395421

7.855587

-14.091352

13.265227

-8.180313

3.734594

-1.344997

0.401312

-0.101679

0.022491

-0.004390

0.000771

-0.000122

0.000018

-0.000002

0.000000

0.000000];

AA=[ 0.239048

0.007455

-0.001080

0.000172

-0.000024

0.000003

0.000000

0.000000];

BB=[ -0.000673

-0.000037

0.000007

-0.000001

0.000000

0.000000];

CC=[ 0.000000

0.000000

-0.000001

0.000003

-0.000010

0.000012];

a = 1 ; %RADIUS

L=.5;

akm=2;gamma=0.3;arh=10; %beta1=beta2=1,a1=1,a2=2,arh=10,delta=0.5,u2=-1

alphaa=sqrt(((2+akm).*akm./(gamma.*(2+akm))).^2+arh.^2);

betaa=(2.*akm.*arh.^2./gamma).^(0.25);

alpha1=sqrt((alphaa.^2+sqrt(alphaa.^4-4.*betaa.^4))./2);

alpha2=sqrt((alphaa.^2-sqrt(alphaa.^4-4.*betaa.^4))./2);

dd=.6;

c =-a/L;

b =2; %a/L;

m =a*200; % NUMBER OF INTERVALS

[x,y]=meshgrid((dd:(b-c)/m:b),(0:(b-c)/m:b)');

[I, J]=find(sqrt(x.^2+y.^2)<(a-0.1));

if ~isempty(I)

x(I,J) = 0; y(I,J) = 0;

end

r=sqrt(x.^2+y.^2);

t=atan2(y,x);

r2=sqrt(r.^2+dd.^2-2.*r.*dd.*cos(t));

zet=(r.^2-r2.^2-dd.^2)./(2.*r2.*dd);

warning on

psi1=0;

for i=2:7

Ai=A(i-1);Bi=B(i-1);Ci=C(i-1);AAi=AA(i-1);BBi=BB(i-1);CCi=CC(i-1);

%psi1=-psi1-(Ai.*r.^(-i-1)+r.^(-3./2).*besselk(i-1./2,r.*alpha1).*Bi+r.^(-3./2).*besselk(i-1./2,r.*alpha2).*Ci).*legendreP(i-1,cos(t))-(AAi.*r2.^(-i-1)+r2.^(-3./2).*besselk(i-1./2,r2.*alpha1).*BBi+r2.^(1./2).*besselk(i-1./2,r2.*alpha2).*CCi).*legendreP(i-1,zet);

psi1=psi1+(Ai.*r.^(-i+1)+r.^(1./2).*besselk(i-1./2,r.*alpha1).*Bi+r.^(1./2).*besselk(i-1./2,r.*alpha2).*Ci).*gegenbauerC(i,-1./2, cos(t))+(AAi.*r2.^(-i+1)+r2.^(1./2).*besselk(i-1./2,r2.*alpha1).*BBi+r2.^(1./2).*besselk(i-1./2,r2.*alpha2).*CCi).*gegenbauerC(i,-1./2,zet);

end

hold on

[DH1,h1]=contour(x,y,psi1,25,'--r','LineWidth',1.1); %,psi2,'--k',psi2,':k'

%[DH1,h1]=contour(x,y,psi1);

%p1=contour(x,y,psi1,[0.01 0.01],'k','LineWidth',1.1); %,'ShowText','on'

%p2=contour(x,y,psi1,[0.05 .05],'r','LineWidth',1.1);

%p3=contour(x,y,psi1,[0.1 0.1],'g','LineWidth',1.1);

%p4=contour(x,y,psi1,[0.4 0.4],'b','LineWidth',1.1);

%p5=contour(x,y,psi1,[0.6 0.6],'c','LineWidth',1.1);

%p6=contour(x,y,psi1,[0.8 0.8],'m','LineWidth',1.1);

%clabel(DH1,h1,'FontSize',10,'Color','red')

%%%%%%%%%%%%%%% $\frac{\textstyle a_1+a_2}{\textstyle h}=6.0,\;

hold on

t3 = linspace(0,pi,1000);

h2=0;

k2=0;

rr2=2;

x2 = rr2*cos(t3)+h2;

y2 = rr2*sin(t3)+k2;

set(plot(x2,y2,'-k'),'LineWidth',1.1);

% fill(x2,y2,'w')

hold on

t2 = linspace(0,pi,1000);

h=dd;

k=0;

rr=1;

x1 = rr*cos(t2)+h;

y1 = rr*sin(t2)+k;

set(plot(x1,y1,'-k'),'LineWidth',1.1);

fill(x1,y1,'w')

%axis square;

axis('equal')

box on

%set(gca,'XTick',[], 'YTick', [])

axis on

% patch([x2 flip(x2)], [y2 ones(size(y2))*max(ylim)], 'w')

% xticklabels([])

% yticklabels([])

%legend('0.01','0.05','0.1','0.4','0.6','0.8','Location','northwest')

% figure

% surfc(x,y,psi1) %,'--r','LineWidth',1.1); %,psi2,'--k',psi2,':k'

.

Shreen El-Sapa 2023년 8월 16일

untitled.fig

The contours either outside or inside see the following:

A =[ 0.506207

-1.175631

3.791971

-8.367277

15.218631

-24.775942

37.354122

-53.596046

73.775154

-98.864357

128.993118

-165.690033

208.780502

-260.760254

320.860199

-393.309998

476.185974

-576.973877

691.446899

-833.655273

994.502441

-1202.786865

1438.045410

-1768.520142

2142.382813

-2773.383545

3490.939697

-5789.086914

8474.064453

-4602.666992];

B=[ -1.898113

1.420040

-2.795280

4.554918

-6.620665

9.012413

-11.705348

14.778024

-18.184662

22.053255

-26.295725

31.114862

-36.357929

42.347446

-48.827950

56.320488

-64.398186

73.929947

-84.185623

96.693771

-110.143478

127.466537

-146.105637

172.564941

-201.088440

250.779495

-304.517883

487.777771

-690.493896

363.089630];

C=[ -4.395421

7.855587

-14.091352

13.265227

-8.180313

3.734594

-1.344997

0.401312

-0.101679

0.022491

-0.004390

0.000771

-0.000122

0.000018

-0.000002

0.000000

0.000000];

AA=[ 0.239048

0.007455

-0.001080

0.000172

-0.000024

0.000003

0.000000

0.000000];

BB=[ -0.000673

-0.000037

0.000007

-0.000001

0.000000

0.000000];

CC=[ 0.000000

0.000000

-0.000001

0.000003

-0.000010

0.000012];

a = 1 ; %RADIUS

L=.5;

akm=2;gamma=0.3;arh=10; %beta1=beta2=1,a1=1,a2=2,arh=10,delta=0.5,u2=-1

alphaa=sqrt(((2+akm).*akm./(gamma.*(2+akm))).^2+arh.^2);

betaa=(2.*akm.*arh.^2./gamma).^(0.25);

alpha1=sqrt((alphaa.^2+sqrt(alphaa.^4-4.*betaa.^4))./2);

alpha2=sqrt((alphaa.^2-sqrt(alphaa.^4-4.*betaa.^4))./2);

dd=.6;

c =-a/L;

b =2; %a/L;

m =a*200; % NUMBER OF INTERVALS

[x,y]=meshgrid((dd:(b-c)/m:b),(0:(b-c)/m:b)');

[I, J]=find(sqrt(x.^2+y.^2)<(a-0.1));

if ~isempty(I)

x(I,J) = 0; y(I,J) = 0;

end

r=sqrt(x.^2+y.^2);

t=atan2(y,x);

r2=sqrt(r.^2+dd.^2-2.*r.*dd.*cos(t));

zet=(r.^2-r2.^2-dd.^2)./(2.*r2.*dd);

warning on

psi1=0;

for i=2:7

Ai=A(i-1);Bi=B(i-1);Ci=C(i-1);AAi=AA(i-1);BBi=BB(i-1);CCi=CC(i-1);

%psi1=-psi1-(Ai.*r.^(-i-1)+r.^(-3./2).*besselk(i-1./2,r.*alpha1).*Bi+r.^(-3./2).*besselk(i-1./2,r.*alpha2).*Ci).*legendreP(i-1,cos(t))-(AAi.*r2.^(-i-1)+r2.^(-3./2).*besselk(i-1./2,r2.*alpha1).*BBi+r2.^(1./2).*besselk(i-1./2,r2.*alpha2).*CCi).*legendreP(i-1,zet);

psi1=psi1+(Ai.*r.^(-i+1)+r.^(1./2).*besselk(i-1./2,r.*alpha1).*Bi+r.^(1./2).*besselk(i-1./2,r.*alpha2).*Ci).*gegenbauerC(i,-1./2, cos(t))+(AAi.*r2.^(-i+1)+r2.^(1./2).*besselk(i-1./2,r2.*alpha1).*BBi+r2.^(1./2).*besselk(i-1./2,r2.*alpha2).*CCi).*gegenbauerC(i,-1./2,zet);

end

hold on

[DH1,h1]=contour(x,y,psi1,25,'--r','LineWidth',1.1); %,psi2,'--k',psi2,':k'

%[DH1,h1]=contour(x,y,psi1);

%p1=contour(x,y,psi1,[0.01 0.01],'k','LineWidth',1.1); %,'ShowText','on'

%p2=contour(x,y,psi1,[0.05 .05],'r','LineWidth',1.1);

%p3=contour(x,y,psi1,[0.1 0.1],'g','LineWidth',1.1);

%p4=contour(x,y,psi1,[0.4 0.4],'b','LineWidth',1.1);

%p5=contour(x,y,psi1,[0.6 0.6],'c','LineWidth',1.1);

%p6=contour(x,y,psi1,[0.8 0.8],'m','LineWidth',1.1);

%clabel(DH1,h1,'FontSize',10,'Color','red')

%%%%%%%%%%%%%%% $\frac{\textstyle a_1+a_2}{\textstyle h}=6.0,\;

hold on

t3 = linspace(0,pi,1000);

h2=0;

k2=0;

rr2=2;

x2 = rr2*cos(t3)+h2;

y2 = rr2*sin(t3)+k2;

set(plot(x2,y2,'-k'),'LineWidth',1.1);

% fill(x2,y2,'w')

hold on

t2 = linspace(0,pi,1000);

h=dd;

k=0;

rr=1;

x1 = rr*cos(t2)+h;

y1 = rr*sin(t2)+k;

set(plot(x1,y1,'-k'),'LineWidth',1.1);

%fill(x1,y1,'w')

%axis square;

axis('equal')

box on

%set(gca,'XTick',[], 'YTick', [])

axis on

patch([x2 flip(x2)], [y2 ones(size(y2))*max(ylim)], 'w')

% xticklabels([])

% yticklabels([])

%legend('0.01','0.05','0.1','0.4','0.6','0.8','Location','northwest')

% figure

% surfc(x,y,psi1) %,'--r','LineWidth',1.1); %,psi2,'--k',psi2,':k'

Shreen El-Sapa 2023년 8월 16일

untitled.fig

I think it is ok now.

Thanks so much

Star Strider 2023년 8월 16일

MATLAB Online에서 열기

untitled.fig

My pleasure!

If my Answer helped you solve your problem, please Accept it!

F = openfig('untitled.fig');

.

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how can I plot the contours inside not outside?

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how can I plot the contours inside not outside?

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답변 (1개)

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Community Treasure Hunt

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